[{"volume":58,"quality_controlled":"1","external_id":{"arxiv":["2003.01366"],"isi":["000704213400001"]},"article_processing_charge":"Yes (via OA deal)","article_type":"original","department":[{"_id":"JaMa"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Potential Analysis","page":"573-615","date_created":"2021-10-17T22:01:17Z","has_accepted_license":"1","license":"https://creativecommons.org/licenses/by/4.0/","title":"Ergodic decomposition of Dirichlet forms via direct integrals and applications","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature","file":[{"relation":"main_file","content_type":"application/pdf","success":1,"file_size":806391,"file_name":"2023_PotentialAnalysis_DelloSchiavo.pdf","date_updated":"2023-10-04T09:18:59Z","date_created":"2023-10-04T09:18:59Z","file_id":"14387","checksum":"625526482be300ca7281c91c30d41725","creator":"dernst","access_level":"open_access"}],"isi":1,"author":[{"full_name":"Dello Schiavo, Lorenzo","orcid":"0000-0002-9881-6870","first_name":"Lorenzo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","last_name":"Dello Schiavo"}],"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"},{"name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","acknowledgement":"The author is grateful to Professors Sergio Albeverio and Andreas Eberle, and to Dr. Kohei Suzuki, for fruitful conversations on the subject of the present work, and for respectively pointing out the references [1, 13], and [3, 20]. Finally, he is especially grateful to an anonymous Reviewer for their very careful reading and their suggestions which improved the readability of the paper.","citation":{"ista":"Dello Schiavo L. 2023. Ergodic decomposition of Dirichlet forms via direct integrals and applications. Potential Analysis. 58, 573–615.","apa":"Dello Schiavo, L. (2023). Ergodic decomposition of Dirichlet forms via direct integrals and applications. <i>Potential Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11118-021-09951-y\">https://doi.org/10.1007/s11118-021-09951-y</a>","mla":"Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications.” <i>Potential Analysis</i>, vol. 58, Springer Nature, 2023, pp. 573–615, doi:<a href=\"https://doi.org/10.1007/s11118-021-09951-y\">10.1007/s11118-021-09951-y</a>.","chicago":"Dello Schiavo, Lorenzo. “Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications.” <i>Potential Analysis</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11118-021-09951-y\">https://doi.org/10.1007/s11118-021-09951-y</a>.","ama":"Dello Schiavo L. Ergodic decomposition of Dirichlet forms via direct integrals and applications. <i>Potential Analysis</i>. 2023;58:573-615. doi:<a href=\"https://doi.org/10.1007/s11118-021-09951-y\">10.1007/s11118-021-09951-y</a>","ieee":"L. Dello Schiavo, “Ergodic decomposition of Dirichlet forms via direct integrals and applications,” <i>Potential Analysis</i>, vol. 58. Springer Nature, pp. 573–615, 2023.","short":"L. Dello Schiavo, Potential Analysis 58 (2023) 573–615."},"intvolume":"        58","ddc":["510"],"file_date_updated":"2023-10-04T09:18:59Z","scopus_import":"1","date_published":"2023-03-01T00:00:00Z","oa_version":"Published Version","doi":"10.1007/s11118-021-09951-y","publication_status":"published","ec_funded":1,"month":"03","oa":1,"publication_identifier":{"issn":["0926-2601"],"eissn":["1572-929X"]},"status":"public","_id":"10145","year":"2023","arxiv":1,"abstract":[{"lang":"eng","text":"We study direct integrals of quadratic and Dirichlet forms. We show that each quasi-regular Dirichlet space over a probability space admits a unique representation as a direct integral of irreducible Dirichlet spaces, quasi-regular for the same underlying topology. The same holds for each quasi-regular strongly local Dirichlet space over a metrizable Luzin σ-finite Radon measure space, and admitting carré du champ operator. In this case, the representation is only projectively unique."}],"date_updated":"2023-10-04T09:19:12Z"},{"citation":{"chicago":"Hausel, Tamás, and Nigel Hitchin. “Very Stable Higgs Bundles, Equivariant Multiplicity and Mirror Symmetry.” <i>Inventiones Mathematicae</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00222-021-01093-7\">https://doi.org/10.1007/s00222-021-01093-7</a>.","apa":"Hausel, T., &#38; Hitchin, N. (2022). Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. <i>Inventiones Mathematicae</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00222-021-01093-7\">https://doi.org/10.1007/s00222-021-01093-7</a>","ista":"Hausel T, Hitchin N. 2022. Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. Inventiones Mathematicae. 228, 893–989.","mla":"Hausel, Tamás, and Nigel Hitchin. “Very Stable Higgs Bundles, Equivariant Multiplicity and Mirror Symmetry.” <i>Inventiones Mathematicae</i>, vol. 228, Springer Nature, 2022, pp. 893–989, doi:<a href=\"https://doi.org/10.1007/s00222-021-01093-7\">10.1007/s00222-021-01093-7</a>.","short":"T. Hausel, N. Hitchin, Inventiones Mathematicae 228 (2022) 893–989.","ama":"Hausel T, Hitchin N. Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. <i>Inventiones Mathematicae</i>. 2022;228:893-989. doi:<a href=\"https://doi.org/10.1007/s00222-021-01093-7\">10.1007/s00222-021-01093-7</a>","ieee":"T. Hausel and N. Hitchin, “Very stable Higgs bundles, equivariant multiplicity and mirror symmetry,” <i>Inventiones Mathematicae</i>, vol. 228. Springer Nature, pp. 893–989, 2022."},"intvolume":"       228","file_date_updated":"2023-02-27T07:30:47Z","scopus_import":"1","ddc":["510"],"oa_version":"Published Version","date_published":"2022-05-01T00:00:00Z","publication_status":"published","doi":"10.1007/s00222-021-01093-7","month":"05","status":"public","oa":1,"publication_identifier":{"eissn":["1432-1297"],"issn":["0020-9910"]},"_id":"10704","date_updated":"2023-08-02T14:03:20Z","arxiv":1,"abstract":[{"text":"We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very stable components of the global nilpotent cone and its relationship to mirror symmetry. The main ingredients are the Bialynicki-Birula theory of C∗-actions on semiprojective varieties, C∗ characters of indices of C∗-equivariant coherent sheaves, Hecke transformation for Higgs bundles, relative Fourier–Mukai transform along the Hitchin fibration, hyperholomorphic structures on universal bundles and cominuscule Higgs bundles.","lang":"eng"}],"year":"2022","external_id":{"isi":["000745495400001"],"arxiv":["2101.08583"]},"quality_controlled":"1","volume":228,"related_material":{"link":[{"url":"https://ista.ac.at/en/news/the-tip-of-the-mathematical-iceberg/","description":"News on the ISTA Website","relation":"press_release"}]},"article_processing_charge":"Yes (via OA deal)","article_type":"original","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"TaHa"}],"has_accepted_license":"1","page":"893-989","date_created":"2022-01-30T23:01:34Z","publication":"Inventiones Mathematicae","publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Very stable Higgs bundles, equivariant multiplicity and mirror symmetry","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"isi":1,"author":[{"full_name":"Hausel, Tamás","last_name":"Hausel","id":"4A0666D8-F248-11E8-B48F-1D18A9856A87","first_name":"Tamás"},{"full_name":"Hitchin, Nigel","last_name":"Hitchin","first_name":"Nigel"}],"file":[{"relation":"main_file","content_type":"application/pdf","file_size":1069538,"success":1,"file_id":"12687","checksum":"a382ba75acebc9adfb8fe56247cb410e","creator":"dernst","access_level":"open_access","file_name":"2022_InventionesMahtematicae_Hausel.pdf","date_updated":"2023-02-27T07:30:47Z","date_created":"2023-02-27T07:30:47Z"}],"acknowledgement":"We would like to thank Brian Collier, Davide Gaiotto, Peter Gothen, Jochen Heinloth, Daniel Huybrechts, Quoc Ho, Joel Kamnitzer, Gérard Laumon, Luca Migliorini, Alexander Minets, Brent Pym, Peng Shan, Carlos Simpson, András Szenes, Fernando R. Villegas, Richard Wentworth, Edward Witten and Kōta Yoshioka for interesting comments and discussions. Most of all we are grateful for a long list of very helpful comments by the referee. We would also like to thank the organizers of the Summer School on Higgs bundles in Hamburg in September 2018, where the authors and Richard Wentworth were giving lectures and where the work in this paper started by considering the mirror of the Lagrangian upward flows W+E investigated in [17]. The second author wishes to thank EPSRC and ICMAT for support. Open access funding provided by Institute of Science and Technology (IST Austria).","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01"},{"date_published":"2022-02-11T00:00:00Z","oa_version":"Published Version","doi":"10.1021/acsphyschemau.1c00050","publication_status":"published","citation":{"short":"R.C.A. Dubini, E. Korytiaková, T. Schinkel, P. Heinrichs, T. Carell, P. Rovo, ACS Physical Chemistry Au 2 (2022) 237–246.","ama":"Dubini RCA, Korytiaková E, Schinkel T, Heinrichs P, Carell T, Rovo P. 1H NMR chemical exchange techniques reveal local and global effects of oxidized cytosine derivatives. <i>ACS Physical Chemistry Au</i>. 2022;2(3):237-246. doi:<a href=\"https://doi.org/10.1021/acsphyschemau.1c00050\">10.1021/acsphyschemau.1c00050</a>","ieee":"R. C. A. Dubini, E. Korytiaková, T. Schinkel, P. Heinrichs, T. Carell, and P. Rovo, “1H NMR chemical exchange techniques reveal local and global effects of oxidized cytosine derivatives,” <i>ACS Physical Chemistry Au</i>, vol. 2, no. 3. American Chemical Society, pp. 237–246, 2022.","ista":"Dubini RCA, Korytiaková E, Schinkel T, Heinrichs P, Carell T, Rovo P. 2022. 1H NMR chemical exchange techniques reveal local and global effects of oxidized cytosine derivatives. ACS Physical Chemistry Au. 2(3), 237–246.","mla":"Dubini, Romeo C. A., et al. “1H NMR Chemical Exchange Techniques Reveal Local and Global Effects of Oxidized Cytosine Derivatives.” <i>ACS Physical Chemistry Au</i>, vol. 2, no. 3, American Chemical Society, 2022, pp. 237–46, doi:<a href=\"https://doi.org/10.1021/acsphyschemau.1c00050\">10.1021/acsphyschemau.1c00050</a>.","apa":"Dubini, R. C. A., Korytiaková, E., Schinkel, T., Heinrichs, P., Carell, T., &#38; Rovo, P. (2022). 1H NMR chemical exchange techniques reveal local and global effects of oxidized cytosine derivatives. <i>ACS Physical Chemistry Au</i>. American Chemical Society. <a href=\"https://doi.org/10.1021/acsphyschemau.1c00050\">https://doi.org/10.1021/acsphyschemau.1c00050</a>","chicago":"Dubini, Romeo C. A., Eva Korytiaková, Thea Schinkel, Pia Heinrichs, Thomas Carell, and Petra Rovo. “1H NMR Chemical Exchange Techniques Reveal Local and Global Effects of Oxidized Cytosine Derivatives.” <i>ACS Physical Chemistry Au</i>. American Chemical Society, 2022. <a href=\"https://doi.org/10.1021/acsphyschemau.1c00050\">https://doi.org/10.1021/acsphyschemau.1c00050</a>."},"intvolume":"         2","ddc":["540"],"scopus_import":"1","file_date_updated":"2022-07-29T07:53:20Z","_id":"10758","year":"2022","abstract":[{"lang":"eng","text":"5-Carboxycytosine (5caC) is a rare epigenetic modification found in nucleic acids of all domains of life. Despite its sparse genomic abundance, 5caC is presumed to play essential regulatory roles in transcription, maintenance and base-excision processes in DNA. In this work, we utilize nuclear magnetic resonance (NMR) spectroscopy to address the effects of 5caC incorporation into canonical DNA strands at multiple pH and temperature conditions. Our results demonstrate that 5caC has a pH-dependent global destabilizing and a base-pair mobility enhancing local impact on dsDNA, albeit without any detectable influence on the ground-state B-DNA structure. Measurement of hybridization thermodynamics and kinetics of 5caC-bearing DNA duplexes highlighted how acidic environment (pH 5.8 and 4.7) destabilizes the double-stranded structure by ∼10–20 kJ mol–1 at 37 °C when compared to the same sample at neutral pH. Protonation of 5caC results in a lower activation energy for the dissociation process and a higher barrier for annealing. Studies on conformational exchange on the microsecond time scale regime revealed a sharply localized base-pair motion involving exclusively the modified site and its immediate surroundings. By direct comparison with canonical and 5-formylcytosine (5fC)-edited strands, we were able to address the impact of the two most oxidized naturally occurring cytosine derivatives in the genome. These insights on 5caC’s subtle sensitivity to acidic pH contribute to the long-standing questions of its capacity as a substrate in base excision repair processes and its purpose as an independent, stable epigenetic mark."}],"issue":"3","date_updated":"2023-01-31T07:33:07Z","month":"02","publication_identifier":{"eissn":["2694-2445"]},"oa":1,"status":"public","department":[{"_id":"NMR"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"ACS Physical Chemistry Au","date_created":"2022-02-16T11:18:21Z","page":"237-246","has_accepted_license":"1","related_material":{"link":[{"url":"https://www.biorxiv.org/content/10.1101/2021.12.14.472563","relation":"earlier_version"}]},"volume":2,"quality_controlled":"1","external_id":{"pmid":["35637781"]},"article_processing_charge":"Yes (via OA deal)","article_type":"original","file":[{"file_name":"2022_ACSPhysChemAU_Dubini.pdf","date_updated":"2022-07-29T07:53:20Z","date_created":"2022-07-29T07:53:20Z","checksum":"5ce3f907848f5c7caf77f1adfe5826c6","creator":"dernst","file_id":"11692","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_size":2351220,"success":1}],"author":[{"full_name":"Dubini, Romeo C. A.","last_name":"Dubini","first_name":"Romeo C. A."},{"full_name":"Korytiaková, Eva","first_name":"Eva","last_name":"Korytiaková"},{"full_name":"Schinkel, Thea","first_name":"Thea","last_name":"Schinkel"},{"last_name":"Heinrichs","first_name":"Pia","full_name":"Heinrichs, Pia"},{"first_name":"Thomas","last_name":"Carell","full_name":"Carell, Thomas"},{"full_name":"Rovo, Petra","first_name":"Petra","orcid":"0000-0001-8729-7326","id":"c316e53f-b965-11eb-b128-bb26acc59c00","last_name":"Rovo"}],"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"11","pmid":1,"acknowledgement":"We thank Markus Müller for valued discussions and Felix Xu for assistance in the measurement of UV/vis melting profiles. This work was supported in part by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – SFB 1309-325871075, EU-ITN LightDyNAmics (ID: 765266), the ERC-AG EpiR (ID: 741912), the Center for NanoScience, the Excellence Clusters CIPSM, and the Fonds der Chemischen Industrie. Open access funding provided by Institute of Science and Technology Austria (ISTA).\r\n\r\n","title":"1H NMR chemical exchange techniques reveal local and global effects of oxidized cytosine derivatives","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"American Chemical Society"},{"title":"A systematic characterization of microglia-like cell occurrence during retinal organoid differentiation","publisher":"Elsevier","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","file":[{"file_size":19400048,"success":1,"relation":"main_file","content_type":"application/pdf","date_created":"2022-07-04T08:19:25Z","date_updated":"2022-07-04T08:19:25Z","file_name":"2022_iScience_Bartalska.pdf","access_level":"open_access","creator":"cchlebak","file_id":"11480","checksum":"a470b74e1b3796c710189c81a4cd4329"}],"project":[{"name":"Microglia action towards neuronal circuit formation and function in health and disease","call_identifier":"H2020","grant_number":"715571","_id":"25D4A630-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"_id":"9B99D380-BA93-11EA-9121-9846C619BF3A","grant_number":"SC19-017","name":"How human microglia shape developing neurons during health and inflammation"}],"author":[{"full_name":"Bartalska, Katarina","id":"4D883232-F248-11E8-B48F-1D18A9856A87","last_name":"Bartalska","first_name":"Katarina"},{"id":"32B7C918-F248-11E8-B48F-1D18A9856A87","last_name":"Hübschmann","first_name":"Verena","full_name":"Hübschmann, Verena"},{"orcid":"0000-0003-4309-2251","first_name":"Medina","last_name":"Korkut","id":"4B51CE74-F248-11E8-B48F-1D18A9856A87","full_name":"Korkut, Medina"},{"full_name":"Cubero, Ryan J","orcid":"0000-0003-0002-1867","first_name":"Ryan J","id":"850B2E12-9CD4-11E9-837F-E719E6697425","last_name":"Cubero"},{"first_name":"Alessandro","orcid":"0000-0003-2356-9403","id":"41CB84B2-F248-11E8-B48F-1D18A9856A87","last_name":"Venturino","full_name":"Venturino, Alessandro"},{"full_name":"Rössler, Karl","last_name":"Rössler","first_name":"Karl"},{"full_name":"Czech, Thomas","last_name":"Czech","first_name":"Thomas"},{"full_name":"Siegert, Sandra","orcid":"0000-0001-8635-0877","first_name":"Sandra","id":"36ACD32E-F248-11E8-B48F-1D18A9856A87","last_name":"Siegert"}],"isi":1,"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"15","acknowledgement":"We thank the scientific service units at ISTA, specifically the lab support facility and imaging & optics facility for their support; Nicolas Armel for performing the Mass Spectrometry. We thank Alexandra Lang and Tanja Peilnsteiner for their help in human brain tissue collection, Rouven Schulz for his insights into the functional assays We thank all members of the Siegert group for constant feedback on the project and Margaret Maes, Rouven Schulz, and Marco Benevento for feedback on the manuscript. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant No. 715571 to S.S.) and from the Gesellschaft für Forschungsförderung Niederösterreich (grant No. Sc19-017 to V.H.).","related_material":{"record":[{"id":"12117","relation":"other","status":"public"}]},"external_id":{"isi":["000830428500005"]},"quality_controlled":"1","volume":25,"article_processing_charge":"Yes","article_type":"original","language":[{"iso":"eng"}],"department":[{"_id":"SaSi"}],"type":"journal_article","date_created":"2022-07-03T22:01:33Z","publication":"iScience","has_accepted_license":"1","ec_funded":1,"month":"07","oa":1,"publication_identifier":{"eissn":["2589-0042"]},"status":"public","_id":"11478","article_number":"104580","acknowledged_ssus":[{"_id":"Bio"},{"_id":"LifeSc"}],"year":"2022","date_updated":"2023-11-02T12:21:33Z","issue":"7","abstract":[{"text":"Cerebral organoids differentiated from human-induced pluripotent stem cells (hiPSC) provide a unique opportunity to investigate brain development. However, organoids usually lack microglia, brain-resident immune cells, which are present in the early embryonic brain and participate in neuronal circuit development. Here, we find IBA1+ microglia-like cells alongside retinal cups between week 3 and 4 in 2.5D culture with an unguided retinal organoid differentiation protocol. Microglia do not infiltrate the neuroectoderm and instead enrich within non-pigmented, 3D-cystic compartments that develop in parallel to the 3D-retinal organoids. When we guide the retinal organoid differentiation with low-dosed BMP4, we prevent cup development and enhance microglia and 3D-cysts formation. Mass spectrometry identifies these 3D-cysts to express mesenchymal and epithelial markers. We confirmed this microglia-preferred environment also within the unguided protocol, providing insight into microglial behavior and migration and offer a model to study how they enter and distribute within the human brain.","lang":"eng"}],"citation":{"chicago":"Bartalska, Katarina, Verena Hübschmann, Medina Korkut, Ryan J Cubero, Alessandro Venturino, Karl Rössler, Thomas Czech, and Sandra Siegert. “A Systematic Characterization of Microglia-like Cell Occurrence during Retinal Organoid Differentiation.” <i>IScience</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.isci.2022.104580\">https://doi.org/10.1016/j.isci.2022.104580</a>.","apa":"Bartalska, K., Hübschmann, V., Korkut, M., Cubero, R. J., Venturino, A., Rössler, K., … Siegert, S. (2022). A systematic characterization of microglia-like cell occurrence during retinal organoid differentiation. <i>IScience</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.isci.2022.104580\">https://doi.org/10.1016/j.isci.2022.104580</a>","mla":"Bartalska, Katarina, et al. “A Systematic Characterization of Microglia-like Cell Occurrence during Retinal Organoid Differentiation.” <i>IScience</i>, vol. 25, no. 7, 104580, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.isci.2022.104580\">10.1016/j.isci.2022.104580</a>.","ista":"Bartalska K, Hübschmann V, Korkut M, Cubero RJ, Venturino A, Rössler K, Czech T, Siegert S. 2022. A systematic characterization of microglia-like cell occurrence during retinal organoid differentiation. iScience. 25(7), 104580.","short":"K. Bartalska, V. Hübschmann, M. Korkut, R.J. Cubero, A. Venturino, K. Rössler, T. Czech, S. Siegert, IScience 25 (2022).","ieee":"K. Bartalska <i>et al.</i>, “A systematic characterization of microglia-like cell occurrence during retinal organoid differentiation,” <i>iScience</i>, vol. 25, no. 7. Elsevier, 2022.","ama":"Bartalska K, Hübschmann V, Korkut M, et al. A systematic characterization of microglia-like cell occurrence during retinal organoid differentiation. <i>iScience</i>. 2022;25(7). doi:<a href=\"https://doi.org/10.1016/j.isci.2022.104580\">10.1016/j.isci.2022.104580</a>"},"intvolume":"        25","ddc":["610"],"scopus_import":"1","file_date_updated":"2022-07-04T08:19:25Z","date_published":"2022-07-15T00:00:00Z","oa_version":"Published Version","publication_status":"published","doi":"10.1016/j.isci.2022.104580"},{"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature","title":"When different norms lead to same billiard trajectories?","acknowledgement":"AA was supported by European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 78818 Alpha). RK was supported by the Federal professorship program Grant 1.456.2016/1.4 and the Russian Foundation for Basic Research Grants 18-01-00036 and 19-01-00169. Open access funding provided by Institute of Science and Technology (IST Austria). The authors thank Alexey Balitskiy, Milena Radnović, and Serge Tabachnikov for useful discussions.","day":"01","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"author":[{"first_name":"Arseniy","orcid":"0000-0002-2548-617X","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","last_name":"Akopyan","full_name":"Akopyan, Arseniy"},{"full_name":"Karasev, Roman","last_name":"Karasev","first_name":"Roman"}],"project":[{"call_identifier":"H2020","name":"Alpha Shape Theory Extended","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"file":[{"file_size":263926,"relation":"main_file","content_type":"application/pdf","access_level":"open_access","file_id":"7796","checksum":"f53e71fd03744075adcd0b8fc1b8423d","creator":"dernst","date_created":"2020-05-04T10:33:42Z","date_updated":"2020-07-14T12:48:03Z","file_name":"2020_EuropMathematics_Akopyan.pdf"}],"article_type":"original","article_processing_charge":"Yes (via OA deal)","volume":8,"quality_controlled":"1","external_id":{"arxiv":["1912.12685"]},"has_accepted_license":"1","publication":"European Journal of Mathematics","page":"1309 - 1312","date_created":"2020-05-03T22:00:48Z","type":"journal_article","department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["2199-675X"],"eissn":["2199-6768"]},"oa":1,"month":"12","ec_funded":1,"abstract":[{"lang":"eng","text":"Extending a result of Milena Radnovic and Serge Tabachnikov, we establish conditionsfor two different non-symmetric norms to define the same billiard reflection law."}],"issue":"4","arxiv":1,"date_updated":"2024-02-22T15:58:42Z","year":"2022","_id":"7791","file_date_updated":"2020-07-14T12:48:03Z","scopus_import":"1","ddc":["510"],"citation":{"mla":"Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard Trajectories?” <i>European Journal of Mathematics</i>, vol. 8, no. 4, Springer Nature, 2022, pp. 1309–12, doi:<a href=\"https://doi.org/10.1007/s40879-020-00405-0\">10.1007/s40879-020-00405-0</a>.","apa":"Akopyan, A., &#38; Karasev, R. (2022). When different norms lead to same billiard trajectories? <i>European Journal of Mathematics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40879-020-00405-0\">https://doi.org/10.1007/s40879-020-00405-0</a>","ista":"Akopyan A, Karasev R. 2022. When different norms lead to same billiard trajectories? European Journal of Mathematics. 8(4), 1309–1312.","chicago":"Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard Trajectories?” <i>European Journal of Mathematics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s40879-020-00405-0\">https://doi.org/10.1007/s40879-020-00405-0</a>.","ama":"Akopyan A, Karasev R. When different norms lead to same billiard trajectories? <i>European Journal of Mathematics</i>. 2022;8(4):1309-1312. doi:<a href=\"https://doi.org/10.1007/s40879-020-00405-0\">10.1007/s40879-020-00405-0</a>","ieee":"A. Akopyan and R. Karasev, “When different norms lead to same billiard trajectories?,” <i>European Journal of Mathematics</i>, vol. 8, no. 4. Springer Nature, pp. 1309–1312, 2022.","short":"A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312."},"intvolume":"         8","doi":"10.1007/s40879-020-00405-0","publication_status":"published","oa_version":"Published Version","date_published":"2022-12-01T00:00:00Z"},{"department":[{"_id":"RoSe"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Journal of Statistical Physics","date_created":"2021-12-19T23:01:32Z","has_accepted_license":"1","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"11473"}]},"volume":186,"quality_controlled":"1","external_id":{"arxiv":["2106.09328"],"isi":["000726275600001"]},"article_type":"original","article_processing_charge":"Yes (via OA deal)","file":[{"creator":"cchlebak","file_id":"10716","checksum":"da03f6d293c4b9802091bce9471b1d29","access_level":"open_access","file_name":"2022_JournalStatPhys_Myśliwy.pdf","date_updated":"2022-02-02T14:24:41Z","date_created":"2022-02-02T14:24:41Z","content_type":"application/pdf","relation":"main_file","file_size":434957,"success":1}],"isi":1,"author":[{"first_name":"Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87","last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof"},{"full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","call_identifier":"H2020"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","title":"Polaron models with regular interactions at strong coupling","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Springer Nature","date_published":"2022-01-01T00:00:00Z","oa_version":"Published Version","doi":"10.1007/s10955-021-02851-w","publication_status":"published","citation":{"chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>.","apa":"Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>.","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).","ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer Nature, 2022.","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>"},"intvolume":"       186","ddc":["530"],"scopus_import":"1","file_date_updated":"2022-02-02T14:24:41Z","_id":"10564","article_number":"5","year":"2022","abstract":[{"lang":"eng","text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass."}],"issue":"1","arxiv":1,"date_updated":"2023-09-07T13:43:51Z","ec_funded":1,"month":"01","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"oa":1,"status":"public"},{"has_accepted_license":"1","publication":"Mathematische Annalen","page":"1815-1832","date_created":"2022-01-02T23:01:35Z","type":"journal_article","department":[{"_id":"JaMa"}],"language":[{"iso":"eng"}],"article_type":"original","article_processing_charge":"Yes (via OA deal)","keyword":["quasi curvature-dimension condition","sub-riemannian geometry","Sobolev-to-Lipschitz property","Varadhan short-time asymptotics"],"quality_controlled":"1","volume":384,"external_id":{"arxiv":["2110.05137"],"isi":["000734150200001"]},"acknowledgement":"The authors are grateful to Dr. Bang-Xian Han for helpful discussions on the Sobolev-to-Lipschitz property on metric measure spaces, and to Professor Kazuhiro Kuwae, Professor Emanuel Milman, Dr. Giorgio Stefani, and Dr. Gioacchino Antonelli for reading a preliminary version of this work and for their valuable comments and suggestions. Finally, they wish to express their gratitude to two anonymous Reviewers whose suggestions improved the presentation of this work.\r\n\r\nL.D.S. gratefully acknowledges funding of his position by the Austrian Science Fund (FWF) grant F65, and by the European Research Council (ERC, grant No. 716117, awarded to Prof. Dr. Jan Maas).\r\n\r\nK.S. gratefully acknowledges funding by: the JSPS Overseas Research Fellowships, Grant Nr. 290142; World Premier International Research Center Initiative (WPI), MEXT, Japan; JSPS Grant-in-Aid for Scientific Research on Innovative Areas “Discrete Geometric Analysis for Materials Design”, Grant Number 17H06465; and the Alexander von Humboldt Stiftung, Humboldt-Forschungsstipendium.","day":"01","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"isi":1,"author":[{"last_name":"Dello Schiavo","id":"ECEBF480-9E4F-11EA-B557-B0823DDC885E","first_name":"Lorenzo","orcid":"0000-0002-9881-6870","full_name":"Dello Schiavo, Lorenzo"},{"first_name":"Kohei","last_name":"Suzuki","full_name":"Suzuki, Kohei"}],"project":[{"name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"file":[{"file_name":"2021_MathAnn_DelloSchiavo.pdf","date_updated":"2022-01-03T11:08:31Z","date_created":"2022-01-03T11:08:31Z","creator":"alisjak","file_id":"10596","checksum":"2593abbf195e38efa93b6006b1e90eb1","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_size":410090,"success":1}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"Springer Nature","title":"Sobolev-to-Lipschitz property on QCD- spaces and applications","doi":"10.1007/s00208-021-02331-2","publication_status":"published","oa_version":"Published Version","date_published":"2022-12-01T00:00:00Z","file_date_updated":"2022-01-03T11:08:31Z","scopus_import":"1","ddc":["510"],"intvolume":"       384","citation":{"ista":"Dello Schiavo L, Suzuki K. 2022. Sobolev-to-Lipschitz property on QCD- spaces and applications. Mathematische Annalen. 384, 1815–1832.","apa":"Dello Schiavo, L., &#38; Suzuki, K. (2022). Sobolev-to-Lipschitz property on QCD- spaces and applications. <i>Mathematische Annalen</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00208-021-02331-2\">https://doi.org/10.1007/s00208-021-02331-2</a>","mla":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on QCD- Spaces and Applications.” <i>Mathematische Annalen</i>, vol. 384, Springer Nature, 2022, pp. 1815–32, doi:<a href=\"https://doi.org/10.1007/s00208-021-02331-2\">10.1007/s00208-021-02331-2</a>.","chicago":"Dello Schiavo, Lorenzo, and Kohei Suzuki. “Sobolev-to-Lipschitz Property on QCD- Spaces and Applications.” <i>Mathematische Annalen</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00208-021-02331-2\">https://doi.org/10.1007/s00208-021-02331-2</a>.","short":"L. Dello Schiavo, K. Suzuki, Mathematische Annalen 384 (2022) 1815–1832.","ama":"Dello Schiavo L, Suzuki K. Sobolev-to-Lipschitz property on QCD- spaces and applications. <i>Mathematische Annalen</i>. 2022;384:1815-1832. doi:<a href=\"https://doi.org/10.1007/s00208-021-02331-2\">10.1007/s00208-021-02331-2</a>","ieee":"L. Dello Schiavo and K. Suzuki, “Sobolev-to-Lipschitz property on QCD- spaces and applications,” <i>Mathematische Annalen</i>, vol. 384. Springer Nature, pp. 1815–1832, 2022."},"arxiv":1,"abstract":[{"text":"We prove the Sobolev-to-Lipschitz property for metric measure spaces satisfying the quasi curvature-dimension condition recently introduced in Milman (Commun Pure Appl Math, to appear). We provide several applications to properties of the corresponding heat semigroup. In particular, under the additional assumption of infinitesimal Hilbertianity, we show the Varadhan short-time asymptotics for the heat semigroup with respect to the distance, and prove the irreducibility of the heat semigroup. These results apply in particular to large classes of (ideal) sub-Riemannian manifolds.","lang":"eng"}],"date_updated":"2023-08-02T13:39:05Z","year":"2022","_id":"10588","status":"public","oa":1,"publication_identifier":{"eissn":["1432-1807"],"issn":["0025-5831"]},"month":"12","ec_funded":1},{"has_accepted_license":"1","date_created":"2022-01-06T12:37:27Z","page":"585-618","publication":"Acta Informatica","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"KrCh"}],"article_processing_charge":"Yes (via OA deal)","article_type":"original","external_id":{"isi":["000735765500001"]},"keyword":["computer networks and communications","information systems","software"],"volume":59,"quality_controlled":"1","acknowledgement":"This work is partially funded by the German Research Foundation (DFG) projects Verified Model Checkers (No. 317422601) and Statistical Unbounded Verification (No. 383882557), and the Alexander von Humboldt Foundation with funds from the German Federal Ministry of Education and Research. It is an extended version of [21], including all proofs together with further explanations and examples. Moreover, we provide a new, more efficient construction based on (total) preorders, unifying previous optimizations. Experiments are performed with a new, performant implementation, comparing our approach to the current state of the art.","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"author":[{"full_name":"Kretinsky, Jan","first_name":"Jan","orcid":"0000-0002-8122-2881","id":"44CEF464-F248-11E8-B48F-1D18A9856A87","last_name":"Kretinsky"},{"last_name":"Meggendorfer","id":"b21b0c15-30a2-11eb-80dc-f13ca25802e1","orcid":"0000-0002-1712-2165","first_name":"Tobias","full_name":"Meggendorfer, Tobias"},{"full_name":"Waldmann, Clara","first_name":"Clara","last_name":"Waldmann"},{"full_name":"Weininger, Maximilian","last_name":"Weininger","first_name":"Maximilian"}],"isi":1,"file":[{"date_updated":"2022-01-07T07:50:31Z","file_name":"2021_ActaInfor_Křetínský.pdf","date_created":"2022-01-07T07:50:31Z","checksum":"bf1c195b6aaf59e8530cf9e3a9d731f7","file_id":"10603","creator":"cchlebak","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_size":1066082,"success":1}],"publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Index appearance record with preorders","publication_status":"published","doi":"10.1007/s00236-021-00412-y","oa_version":"Published Version","date_published":"2022-10-01T00:00:00Z","file_date_updated":"2022-01-07T07:50:31Z","scopus_import":"1","ddc":["000"],"intvolume":"        59","citation":{"ama":"Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. Index appearance record with preorders. <i>Acta Informatica</i>. 2022;59:585-618. doi:<a href=\"https://doi.org/10.1007/s00236-021-00412-y\">10.1007/s00236-021-00412-y</a>","ieee":"J. Kretinsky, T. Meggendorfer, C. Waldmann, and M. Weininger, “Index appearance record with preorders,” <i>Acta Informatica</i>, vol. 59. Springer Nature, pp. 585–618, 2022.","short":"J. Kretinsky, T. Meggendorfer, C. Waldmann, M. Weininger, Acta Informatica 59 (2022) 585–618.","ista":"Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. 2022. Index appearance record with preorders. Acta Informatica. 59, 585–618.","apa":"Kretinsky, J., Meggendorfer, T., Waldmann, C., &#38; Weininger, M. (2022). Index appearance record with preorders. <i>Acta Informatica</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00236-021-00412-y\">https://doi.org/10.1007/s00236-021-00412-y</a>","mla":"Kretinsky, Jan, et al. “Index Appearance Record with Preorders.” <i>Acta Informatica</i>, vol. 59, Springer Nature, 2022, pp. 585–618, doi:<a href=\"https://doi.org/10.1007/s00236-021-00412-y\">10.1007/s00236-021-00412-y</a>.","chicago":"Kretinsky, Jan, Tobias Meggendorfer, Clara Waldmann, and Maximilian Weininger. “Index Appearance Record with Preorders.” <i>Acta Informatica</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s00236-021-00412-y\">https://doi.org/10.1007/s00236-021-00412-y</a>."},"date_updated":"2023-08-02T13:49:28Z","abstract":[{"lang":"eng","text":"Transforming ω-automata into parity automata is traditionally done using appearance records. We present an efficient variant of this idea, tailored to Rabin automata, and several optimizations applicable to all appearance records. We compare the methods experimentally and show that our method produces significantly smaller automata than previous approaches."}],"year":"2022","_id":"10602","status":"public","oa":1,"publication_identifier":{"eissn":["1432-0525"],"issn":["0001-5903"]},"month":"10"},{"has_accepted_license":"1","date_created":"2022-01-13T15:40:53Z","publication":"Mathematical Physics, Analysis and Geometry","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"article_processing_charge":"Yes (via OA deal)","article_type":"original","external_id":{"arxiv":["2106.02015"],"isi":["000741387600001"]},"volume":25,"quality_controlled":"1","keyword":["geometry and topology","mathematical physics"],"acknowledgement":"I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"11","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"author":[{"first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik","full_name":"Henheik, Sven Joscha"}],"isi":1,"file":[{"file_id":"10624","checksum":"d44f8123a52592a75b2c3b8ee2cd2435","creator":"cchlebak","access_level":"open_access","file_name":"2022_MathPhyAnalGeo_Henheik.pdf","date_updated":"2022-01-14T07:27:45Z","date_created":"2022-01-14T07:27:45Z","content_type":"application/pdf","relation":"main_file","file_size":505804,"success":1}],"publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"The BCS critical temperature at high density","publication_status":"published","doi":"10.1007/s11040-021-09415-0","oa_version":"Published Version","date_published":"2022-01-11T00:00:00Z","file_date_updated":"2022-01-14T07:27:45Z","scopus_import":"1","ddc":["514"],"citation":{"short":"S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).","ieee":"S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022.","ama":"Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. 2022;25(1). doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>","mla":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>.","apa":"Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>","ista":"Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3.","chicago":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>."},"intvolume":"        25","date_updated":"2023-08-02T13:51:52Z","abstract":[{"text":"We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.","lang":"eng"}],"arxiv":1,"issue":"1","year":"2022","article_number":"3","_id":"10623","status":"public","oa":1,"publication_identifier":{"issn":["1385-0172"],"eissn":["1572-9656"]},"month":"01","ec_funded":1},{"ec_funded":1,"month":"11","oa":1,"publication_identifier":{"eissn":["2691-3704"],"issn":["2691-3704"]},"status":"public","_id":"10806","year":"2021","date_updated":"2023-05-05T08:45:36Z","abstract":[{"lang":"eng","text":"Ligands are a fundamental part of nanocrystals. They control and direct nanocrystal syntheses and provide colloidal stability. Bound ligands also affect the nanocrystals’ chemical reactivity and electronic structure. Surface chemistry is thus crucial to understand nanocrystal properties and functionality. Here, we investigate the synthesis of metal oxide nanocrystals (CeO2-x, ZnO, and NiO) from metal nitrate precursors, in the presence of oleylamine ligands. Surprisingly, the nanocrystals are capped exclusively with a fatty acid instead of oleylamine. Analysis of the reaction mixtures with nuclear magnetic resonance spectroscopy revealed several reaction byproducts and intermediates that are common to the decomposition of Ce, Zn, Ni, and Zr nitrate precursors. Our evidence supports the oxidation of alkylamine and formation of a carboxylic acid, thus unraveling this counterintuitive surface chemistry."}],"issue":"11","intvolume":"         1","citation":{"ieee":"M. Calcabrini <i>et al.</i>, “Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate,” <i>JACS Au</i>, vol. 1, no. 11. American Chemical Society, pp. 1898–1903, 2021.","ama":"Calcabrini M, Van den Eynden D, Sanchez Ribot S, et al. Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate. <i>JACS Au</i>. 2021;1(11):1898-1903. doi:<a href=\"https://doi.org/10.1021/jacsau.1c00349\">10.1021/jacsau.1c00349</a>","short":"M. Calcabrini, D. Van den Eynden, S. Sanchez Ribot, R. Pokratath, J. Llorca, J. De Roo, M. Ibáñez, JACS Au 1 (2021) 1898–1903.","ista":"Calcabrini M, Van den Eynden D, Sanchez Ribot S, Pokratath R, Llorca J, De Roo J, Ibáñez M. 2021. Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate. JACS Au. 1(11), 1898–1903.","apa":"Calcabrini, M., Van den Eynden, D., Sanchez Ribot, S., Pokratath, R., Llorca, J., De Roo, J., &#38; Ibáñez, M. (2021). Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate. <i>JACS Au</i>. American Chemical Society. <a href=\"https://doi.org/10.1021/jacsau.1c00349\">https://doi.org/10.1021/jacsau.1c00349</a>","mla":"Calcabrini, Mariano, et al. “Ligand Conversion in Nanocrystal Synthesis: The Oxidation of Alkylamines to Fatty Acids by Nitrate.” <i>JACS Au</i>, vol. 1, no. 11, American Chemical Society, 2021, pp. 1898–903, doi:<a href=\"https://doi.org/10.1021/jacsau.1c00349\">10.1021/jacsau.1c00349</a>.","chicago":"Calcabrini, Mariano, Dietger Van den Eynden, Sergi Sanchez Ribot, Rohan Pokratath, Jordi Llorca, Jonathan De Roo, and Maria Ibáñez. “Ligand Conversion in Nanocrystal Synthesis: The Oxidation of Alkylamines to Fatty Acids by Nitrate.” <i>JACS Au</i>. American Chemical Society, 2021. <a href=\"https://doi.org/10.1021/jacsau.1c00349\">https://doi.org/10.1021/jacsau.1c00349</a>."},"ddc":["540"],"file_date_updated":"2022-03-02T15:33:18Z","date_published":"2021-11-22T00:00:00Z","oa_version":"Published Version","publication_status":"published","doi":"10.1021/jacsau.1c00349","title":"Ligand conversion in nanocrystal synthesis: The oxidation of alkylamines to fatty acids by nitrate","publisher":"American Chemical Society","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","file":[{"file_size":1257973,"success":1,"content_type":"application/pdf","relation":"main_file","access_level":"open_access","checksum":"1c66a35369e911312a359111420318a9","file_id":"10807","creator":"cchlebak","date_created":"2022-03-02T15:33:18Z","file_name":"2021_JACSAu_Calcabrini.pdf","date_updated":"2022-03-02T15:33:18Z"}],"project":[{"name":"International IST Doctoral Program","call_identifier":"H2020","grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"name":"HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of Semiconductors for Waste Heat Recovery","_id":"9B8F7476-BA93-11EA-9121-9846C619BF3A"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"author":[{"first_name":"Mariano","id":"45D7531A-F248-11E8-B48F-1D18A9856A87","last_name":"Calcabrini","full_name":"Calcabrini, Mariano"},{"last_name":"Van den Eynden","first_name":"Dietger","full_name":"Van den Eynden, Dietger"},{"full_name":"Sanchez Ribot, Sergi","first_name":"Sergi","id":"ddae5a59-f6e0-11ea-865d-d9dc61e77a2a","last_name":"Sanchez Ribot"},{"full_name":"Pokratath, Rohan","first_name":"Rohan","last_name":"Pokratath"},{"full_name":"Llorca, Jordi","last_name":"Llorca","first_name":"Jordi"},{"full_name":"De Roo, Jonathan","first_name":"Jonathan","last_name":"De Roo"},{"orcid":"0000-0001-5013-2843","first_name":"Maria","id":"43C61214-F248-11E8-B48F-1D18A9856A87","last_name":"Ibáñez","full_name":"Ibáñez, Maria"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"22","acknowledgement":"This work was financially supported by IST Austria and the Werner Siemens Foundation. M.C. has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385. The work was also financially supported by University of Basel, SNSF NCCR Molecular Systems Engineering (project number: 182895) and SNSF R’equip (project number: 189622). J.L. is a Serra Húnter Fellow and is grateful to ICREA Academia program and MICINN/FEDER RTI2018-093996-B-C31 and GC 2017 SGR 128 projects.","related_material":{"link":[{"relation":"earlier_version","url":"https://doi.org/10.26434/chemrxiv-2021-cn2fr"}],"record":[{"id":"12885","relation":"dissertation_contains","status":"public"}]},"keyword":["general medicine"],"volume":1,"quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","article_type":"original","language":[{"iso":"eng"}],"department":[{"_id":"MaIb"}],"type":"journal_article","page":"1898-1903","date_created":"2022-03-02T15:24:16Z","publication":"JACS Au","has_accepted_license":"1"},{"scopus_import":"1","file_date_updated":"2022-05-16T12:23:40Z","ddc":["510"],"intvolume":"       225","citation":{"short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979. doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol. 225. Springer, pp. 885–979, 2021.","chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>.","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979, doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>.","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. Springer. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979."},"publication_status":"published","doi":"10.1007/s00222-021-01041-5","oa_version":"Published Version","date_published":"2021-05-03T00:00:00Z","status":"public","publication_identifier":{"eissn":["1432-1297"],"issn":["0020-9910"]},"oa":1,"month":"05","ec_funded":1,"date_updated":"2023-08-21T06:30:30Z","arxiv":1,"abstract":[{"lang":"eng","text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy."}],"year":"2021","_id":"7901","article_type":"original","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2005.08933"],"isi":["000646573600001"]},"quality_controlled":"1","volume":225,"has_accepted_license":"1","page":"885-979","date_created":"2020-05-28T16:48:20Z","publication":"Inventiones Mathematicae","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"publisher":"Springer","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Correlation energy of a weakly interacting Fermi gas","acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"03","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"isi":1,"author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","last_name":"Benedikter","orcid":"0000-0002-1071-6091","first_name":"Niels P","full_name":"Benedikter, Niels P"},{"first_name":"Phan Thành","last_name":"Nam","full_name":"Nam, Phan Thành"},{"full_name":"Porta, Marcello","first_name":"Marcello","last_name":"Porta"},{"full_name":"Schlein, Benjamin","first_name":"Benjamin","last_name":"Schlein"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"file":[{"access_level":"open_access","checksum":"f38c79dfd828cdc7f49a34b37b83d376","file_id":"11386","creator":"dernst","date_created":"2022-05-16T12:23:40Z","file_name":"2021_InventMath_Benedikter.pdf","date_updated":"2022-05-16T12:23:40Z","file_size":1089319,"success":1,"content_type":"application/pdf","relation":"main_file"}]},{"doi":"10.1007/s00454-020-00206-y","publication_status":"published","date_published":"2021-06-01T00:00:00Z","oa_version":"Published Version","ddc":["510"],"scopus_import":"1","file_date_updated":"2020-11-25T09:06:41Z","citation":{"ama":"Brown A, Wang B. Sheaf-theoretic stratification learning from geometric and topological perspectives. <i>Discrete and Computational Geometry</i>. 2021;65:1166-1198. doi:<a href=\"https://doi.org/10.1007/s00454-020-00206-y\">10.1007/s00454-020-00206-y</a>","ieee":"A. Brown and B. Wang, “Sheaf-theoretic stratification learning from geometric and topological perspectives,” <i>Discrete and Computational Geometry</i>, vol. 65. Springer Nature, pp. 1166–1198, 2021.","short":"A. Brown, B. Wang, Discrete and Computational Geometry 65 (2021) 1166–1198.","apa":"Brown, A., &#38; Wang, B. (2021). Sheaf-theoretic stratification learning from geometric and topological perspectives. <i>Discrete and Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-020-00206-y\">https://doi.org/10.1007/s00454-020-00206-y</a>","ista":"Brown A, Wang B. 2021. Sheaf-theoretic stratification learning from geometric and topological perspectives. Discrete and Computational Geometry. 65, 1166–1198.","mla":"Brown, Adam, and Bei Wang. “Sheaf-Theoretic Stratification Learning from Geometric and Topological Perspectives.” <i>Discrete and Computational Geometry</i>, vol. 65, Springer Nature, 2021, pp. 1166–98, doi:<a href=\"https://doi.org/10.1007/s00454-020-00206-y\">10.1007/s00454-020-00206-y</a>.","chicago":"Brown, Adam, and Bei Wang. “Sheaf-Theoretic Stratification Learning from Geometric and Topological Perspectives.” <i>Discrete and Computational Geometry</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00454-020-00206-y\">https://doi.org/10.1007/s00454-020-00206-y</a>."},"intvolume":"        65","year":"2021","arxiv":1,"abstract":[{"lang":"eng","text":"We investigate a sheaf-theoretic interpretation of stratification learning from geometric and topological perspectives. Our main result is the construction of stratification learning algorithms framed in terms of a sheaf on a partially ordered set with the Alexandroff topology. We prove that the resulting decomposition is the unique minimal stratification for which the strata are homogeneous and the given sheaf is constructible. In particular, when we choose to work with the local homology sheaf, our algorithm gives an alternative to the local homology transfer algorithm given in Bendich et al. (Proceedings of the 23rd Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 1355–1370, ACM, New York, 2012), and the cohomology stratification algorithm given in Nanda (Found. Comput. Math. 20(2), 195–222, 2020). Additionally, we give examples of stratifications based on the geometric techniques of Breiding et al. (Rev. Mat. Complut. 31(3), 545–593, 2018), illustrating how the sheaf-theoretic approach can be used to study stratifications from both topological and geometric perspectives. This approach also points toward future applications of sheaf theory in the study of topological data analysis by illustrating the utility of the language of sheaf theory in generalizing existing algorithms."}],"date_updated":"2024-03-07T15:01:58Z","_id":"7905","oa":1,"publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"status":"public","month":"06","publication":"Discrete and Computational Geometry","date_created":"2020-05-30T10:26:04Z","page":"1166-1198","has_accepted_license":"1","department":[{"_id":"HeEd"}],"language":[{"iso":"eng"}],"type":"journal_article","article_processing_charge":"Yes (via OA deal)","article_type":"original","quality_controlled":"1","volume":65,"external_id":{"isi":["000536324700001"],"arxiv":["1712.07734"]},"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). This work was partially supported by NSF IIS-1513616 and NSF ABI-1661375. The authors would like to thank the anonymous referees for their insightful comments.","file":[{"content_type":"application/pdf","relation":"main_file","file_size":1013730,"success":1,"creator":"dernst","file_id":"8803","checksum":"487a84ea5841b75f04f66d7ebd71b67e","access_level":"open_access","date_updated":"2020-11-25T09:06:41Z","file_name":"2020_DiscreteCompGeometry_Brown.pdf","date_created":"2020-11-25T09:06:41Z"}],"isi":1,"author":[{"full_name":"Brown, Adam","first_name":"Adam","id":"70B7FDF6-608D-11E9-9333-8535E6697425","last_name":"Brown"},{"full_name":"Wang, Bei","first_name":"Bei","last_name":"Wang"}],"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"title":"Sheaf-theoretic stratification learning from geometric and topological perspectives","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature"},{"external_id":{"isi":["000537342300001"]},"quality_controlled":"1","volume":15,"article_processing_charge":"Yes (via OA deal)","article_type":"original","language":[{"iso":"eng"}],"department":[{"_id":"VlKo"}],"type":"journal_article","page":"2109-2126","date_created":"2020-06-04T11:28:33Z","publication":"Optimization Letters","has_accepted_license":"1","title":"New inertial relaxed method for solving split feasibilities","publisher":"Springer Nature","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","file":[{"file_name":"2021_OptimizationLetters_Shehu.pdf","date_updated":"2024-03-07T14:58:51Z","date_created":"2024-03-07T14:58:51Z","checksum":"63c5f31cd04626152a19f97a2476281b","file_id":"15089","creator":"kschuh","access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_size":2148882,"success":1}],"project":[{"call_identifier":"FP7","name":"Discrete Optimization in Computer Vision: Theory and Practice","grant_number":"616160","_id":"25FBA906-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"author":[{"full_name":"Shehu, Yekini","orcid":"0000-0001-9224-7139","first_name":"Yekini","last_name":"Shehu","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Aviv","last_name":"Gibali","full_name":"Gibali, Aviv"}],"isi":1,"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The authors are grateful to the referees for their insightful comments which have improved the earlier version of the manuscript greatly. The first author has received funding from the European Research Council (ERC) under the European Union’s Seventh Framework Program (FP7-2007-2013) (Grant agreement No. 616160).","intvolume":"        15","citation":{"chicago":"Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving Split Feasibilities.” <i>Optimization Letters</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11590-020-01603-1\">https://doi.org/10.1007/s11590-020-01603-1</a>.","ista":"Shehu Y, Gibali A. 2021. New inertial relaxed method for solving split feasibilities. Optimization Letters. 15, 2109–2126.","mla":"Shehu, Yekini, and Aviv Gibali. “New Inertial Relaxed Method for Solving Split Feasibilities.” <i>Optimization Letters</i>, vol. 15, Springer Nature, 2021, pp. 2109–26, doi:<a href=\"https://doi.org/10.1007/s11590-020-01603-1\">10.1007/s11590-020-01603-1</a>.","apa":"Shehu, Y., &#38; Gibali, A. (2021). New inertial relaxed method for solving split feasibilities. <i>Optimization Letters</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11590-020-01603-1\">https://doi.org/10.1007/s11590-020-01603-1</a>","short":"Y. Shehu, A. Gibali, Optimization Letters 15 (2021) 2109–2126.","ama":"Shehu Y, Gibali A. New inertial relaxed method for solving split feasibilities. <i>Optimization Letters</i>. 2021;15:2109-2126. doi:<a href=\"https://doi.org/10.1007/s11590-020-01603-1\">10.1007/s11590-020-01603-1</a>","ieee":"Y. Shehu and A. Gibali, “New inertial relaxed method for solving split feasibilities,” <i>Optimization Letters</i>, vol. 15. Springer Nature, pp. 2109–2126, 2021."},"ddc":["510"],"scopus_import":"1","file_date_updated":"2024-03-07T14:58:51Z","date_published":"2021-09-01T00:00:00Z","oa_version":"Published Version","publication_status":"published","doi":"10.1007/s11590-020-01603-1","ec_funded":1,"month":"09","oa":1,"publication_identifier":{"issn":["1862-4472"],"eissn":["1862-4480"]},"status":"public","_id":"7925","year":"2021","date_updated":"2024-03-07T15:00:43Z","abstract":[{"text":"In this paper, we introduce a relaxed CQ method with alternated inertial step for solving split feasibility problems. We give convergence of the sequence generated by our method under some suitable assumptions. Some numerical implementations from sparse signal and image deblurring are reported to show the efficiency of our method.","lang":"eng"}]},{"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). We thank Mohsen Ghaffari, Michael Elkin and Merav Parter for fruitful discussions. This project has received funding from the European Union’s Horizon 2020 Research And Innovation Program under Grant Agreement No. 755839.","day":"01","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"author":[{"full_name":"Censor-Hillel, Keren","first_name":"Keren","last_name":"Censor-Hillel"},{"last_name":"Dory","first_name":"Michal","full_name":"Dory, Michal"},{"full_name":"Korhonen, Janne","id":"C5402D42-15BC-11E9-A202-CA2BE6697425","last_name":"Korhonen","first_name":"Janne"},{"full_name":"Leitersdorf, Dean","first_name":"Dean","last_name":"Leitersdorf"}],"publisher":"Springer Nature","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","title":"Fast approximate shortest paths in the congested clique","date_created":"2020-06-07T22:00:54Z","page":"463-487","publication":"Distributed Computing","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"DaAl"}],"article_processing_charge":"Yes (via OA deal)","article_type":"original","external_id":{"arxiv":["1903.05956"],"isi":["000556444600001"]},"quality_controlled":"1","volume":34,"related_material":{"record":[{"id":"6933","status":"public","relation":"earlier_version"}]},"date_updated":"2024-03-07T14:43:39Z","arxiv":1,"abstract":[{"lang":"eng","text":"We design fast deterministic algorithms for distance computation in the Congested Clique model. Our key contributions include:\r\n    A (2+ϵ)-approximation for all-pairs shortest paths in O(log2n/ϵ) rounds on unweighted undirected graphs. With a small additional additive factor, this also applies for weighted graphs. This is the first sub-polynomial constant-factor approximation for APSP in this model.\r\n    A (1+ϵ)-approximation for multi-source shortest paths from O(n−−√) sources in O(log2n/ϵ) rounds on weighted undirected graphs. This is the first sub-polynomial algorithm obtaining this approximation for a set of sources of polynomial size.\r\n\r\nOur main techniques are new distance tools that are obtained via improved algorithms for sparse matrix multiplication, which we leverage to construct efficient hopsets and shortest paths. Furthermore, our techniques extend to additional distance problems for which we improve upon the state-of-the-art, including diameter approximation, and an exact single-source shortest paths algorithm for weighted undirected graphs in O~(n1/6) rounds. "}],"year":"2021","_id":"7939","status":"public","oa":1,"publication_identifier":{"eissn":["1432-0452"],"issn":["0178-2770"]},"month":"12","publication_status":"published","doi":"10.1007/s00446-020-00380-5","oa_version":"Published Version","date_published":"2021-12-01T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00446-020-00380-5"}],"scopus_import":"1","citation":{"ista":"Censor-Hillel K, Dory M, Korhonen J, Leitersdorf D. 2021. Fast approximate shortest paths in the congested clique. Distributed Computing. 34, 463–487.","apa":"Censor-Hillel, K., Dory, M., Korhonen, J., &#38; Leitersdorf, D. (2021). Fast approximate shortest paths in the congested clique. <i>Distributed Computing</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00446-020-00380-5\">https://doi.org/10.1007/s00446-020-00380-5</a>","mla":"Censor-Hillel, Keren, et al. “Fast Approximate Shortest Paths in the Congested Clique.” <i>Distributed Computing</i>, vol. 34, Springer Nature, 2021, pp. 463–87, doi:<a href=\"https://doi.org/10.1007/s00446-020-00380-5\">10.1007/s00446-020-00380-5</a>.","chicago":"Censor-Hillel, Keren, Michal Dory, Janne Korhonen, and Dean Leitersdorf. “Fast Approximate Shortest Paths in the Congested Clique.” <i>Distributed Computing</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00446-020-00380-5\">https://doi.org/10.1007/s00446-020-00380-5</a>.","short":"K. Censor-Hillel, M. Dory, J. Korhonen, D. Leitersdorf, Distributed Computing 34 (2021) 463–487.","ama":"Censor-Hillel K, Dory M, Korhonen J, Leitersdorf D. Fast approximate shortest paths in the congested clique. <i>Distributed Computing</i>. 2021;34:463-487. doi:<a href=\"https://doi.org/10.1007/s00446-020-00380-5\">10.1007/s00446-020-00380-5</a>","ieee":"K. Censor-Hillel, M. Dory, J. Korhonen, and D. Leitersdorf, “Fast approximate shortest paths in the congested clique,” <i>Distributed Computing</i>, vol. 34. Springer Nature, pp. 463–487, 2021."},"intvolume":"        34"},{"date_updated":"2024-03-07T14:39:29Z","abstract":[{"text":"This paper aims to obtain a strong convergence result for a Douglas–Rachford splitting method with inertial extrapolation step for finding a zero of the sum of two set-valued maximal monotone operators without any further assumption of uniform monotonicity on any of the involved maximal monotone operators. Furthermore, our proposed method is easy to implement and the inertial factor in our proposed method is a natural choice. Our method of proof is of independent interest. Finally, some numerical implementations are given to confirm the theoretical analysis.","lang":"eng"}],"year":"2021","_id":"8196","status":"public","publication_identifier":{"issn":["1389-4420"],"eissn":["1573-2924"]},"oa":1,"month":"02","ec_funded":1,"publication_status":"published","doi":"10.1007/s11081-020-09544-5","oa_version":"Published Version","date_published":"2021-02-25T00:00:00Z","scopus_import":"1","file_date_updated":"2020-08-03T15:24:39Z","ddc":["510"],"citation":{"mla":"Shehu, Yekini, et al. “New Strong Convergence Method for the Sum of Two Maximal Monotone Operators.” <i>Optimization and Engineering</i>, vol. 22, Springer Nature, 2021, pp. 2627–53, doi:<a href=\"https://doi.org/10.1007/s11081-020-09544-5\">10.1007/s11081-020-09544-5</a>.","apa":"Shehu, Y., Dong, Q.-L., Liu, L.-L., &#38; Yao, J.-C. (2021). New strong convergence method for the sum of two maximal monotone operators. <i>Optimization and Engineering</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11081-020-09544-5\">https://doi.org/10.1007/s11081-020-09544-5</a>","ista":"Shehu Y, Dong Q-L, Liu L-L, Yao J-C. 2021. New strong convergence method for the sum of two maximal monotone operators. Optimization and Engineering. 22, 2627–2653.","chicago":"Shehu, Yekini, Qiao-Li Dong, Lu-Lu Liu, and Jen-Chih Yao. “New Strong Convergence Method for the Sum of Two Maximal Monotone Operators.” <i>Optimization and Engineering</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11081-020-09544-5\">https://doi.org/10.1007/s11081-020-09544-5</a>.","ama":"Shehu Y, Dong Q-L, Liu L-L, Yao J-C. New strong convergence method for the sum of two maximal monotone operators. <i>Optimization and Engineering</i>. 2021;22:2627-2653. doi:<a href=\"https://doi.org/10.1007/s11081-020-09544-5\">10.1007/s11081-020-09544-5</a>","ieee":"Y. Shehu, Q.-L. Dong, L.-L. Liu, and J.-C. Yao, “New strong convergence method for the sum of two maximal monotone operators,” <i>Optimization and Engineering</i>, vol. 22. Springer Nature, pp. 2627–2653, 2021.","short":"Y. Shehu, Q.-L. Dong, L.-L. Liu, J.-C. Yao, Optimization and Engineering 22 (2021) 2627–2653."},"intvolume":"        22","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The project of Yekini Shehu has received funding from the European Research Council (ERC) under the European Union’s Seventh Framework Program (FP7—2007–2013) (Grant Agreement No. 616160). The authors are grateful to the anonymous referees and the handling Editor for their comments and suggestions which have improved the earlier version of the manuscript greatly.","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"25","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"name":"Discrete Optimization in Computer Vision: Theory and Practice","call_identifier":"FP7","_id":"25FBA906-B435-11E9-9278-68D0E5697425","grant_number":"616160"}],"isi":1,"author":[{"last_name":"Shehu","id":"3FC7CB58-F248-11E8-B48F-1D18A9856A87","first_name":"Yekini","orcid":"0000-0001-9224-7139","full_name":"Shehu, Yekini"},{"full_name":"Dong, Qiao-Li","last_name":"Dong","first_name":"Qiao-Li"},{"first_name":"Lu-Lu","last_name":"Liu","full_name":"Liu, Lu-Lu"},{"last_name":"Yao","first_name":"Jen-Chih","full_name":"Yao, Jen-Chih"}],"file":[{"relation":"main_file","content_type":"application/pdf","success":1,"file_size":2137860,"creator":"dernst","file_id":"8197","access_level":"open_access","date_updated":"2020-08-03T15:24:39Z","file_name":"2020_OptimizationEngineering_Shehu.pdf","date_created":"2020-08-03T15:24:39Z"}],"publisher":"Springer Nature","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","title":"New strong convergence method for the sum of two maximal monotone operators","has_accepted_license":"1","page":"2627-2653","date_created":"2020-08-03T14:29:57Z","publication":"Optimization and Engineering","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"VlKo"}],"article_processing_charge":"Yes (via OA deal)","article_type":"original","external_id":{"isi":["000559345400001"]},"volume":22,"quality_controlled":"1"},{"date_created":"2020-08-24T06:24:04Z","publication":"Algorithmica","has_accepted_license":"1","language":[{"iso":"eng"}],"department":[{"_id":"DaAl"}],"type":"journal_article","article_type":"original","article_processing_charge":"Yes (via OA deal)","related_material":{"link":[{"relation":"earlier_version","url":"https://doi.org/10.4230/LIPIcs.ICALP.2020.7"}],"record":[{"id":"15077","status":"public","relation":"earlier_version"}]},"external_id":{"isi":["000734004600001"],"arxiv":["2003.09297"]},"quality_controlled":"1","day":"24","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"acknowledgement":"The authors sincerely thank Thomas Sauerwald and George Giakkoupis for insightful discussions, and Mohsen Ghaffari, Yuval Peres, and Udi Wieder for feedback on earlier versions of this draft. We also thank the ICALP anonymous reviewers for their very useful comments. Open access funding provided by Institute of Science and Technology (IST Austria). Funding was provided by European Research Council (Grant No. PR1042ERC01).","file":[{"file_name":"2021_Algorithmica_Alistarh.pdf","date_updated":"2021-12-27T10:36:40Z","date_created":"2021-12-27T10:36:40Z","checksum":"21169b25b0c8e17b21e12af22bff9870","file_id":"10577","creator":"cchlebak","access_level":"open_access","relation":"main_file","content_type":"application/pdf","success":1,"file_size":525950}],"project":[{"call_identifier":"H2020","name":"Elastic Coordination for Scalable Machine Learning","_id":"268A44D6-B435-11E9-9278-68D0E5697425","grant_number":"805223"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"author":[{"full_name":"Alistarh, Dan-Adrian","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","last_name":"Alistarh","orcid":"0000-0003-3650-940X","first_name":"Dan-Adrian"},{"full_name":"Nadiradze, Giorgi","orcid":"0000-0001-5634-0731","first_name":"Giorgi","last_name":"Nadiradze","id":"3279A00C-F248-11E8-B48F-1D18A9856A87"},{"id":"bcc145fd-e77f-11ea-ae8b-80d661dbff67","last_name":"Sabour","first_name":"Amirmojtaba","full_name":"Sabour, Amirmojtaba"}],"title":"Dynamic averaging load balancing on cycles","publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_status":"published","conference":{"location":"Virtual, Online; Germany","end_date":"2020-07-11","name":"ICALP: International Colloquium on Automata, Languages, and Programming ","start_date":"2020-07-08"},"doi":"10.1007/s00453-021-00905-9","date_published":"2021-12-24T00:00:00Z","oa_version":"Published Version","ddc":["000"],"scopus_import":"1","file_date_updated":"2021-12-27T10:36:40Z","citation":{"short":"D.-A. Alistarh, G. Nadiradze, A. Sabour, Algorithmica (2021).","ieee":"D.-A. Alistarh, G. Nadiradze, and A. Sabour, “Dynamic averaging load balancing on cycles,” <i>Algorithmica</i>. Springer Nature, 2021.","ama":"Alistarh D-A, Nadiradze G, Sabour A. Dynamic averaging load balancing on cycles. <i>Algorithmica</i>. 2021. doi:<a href=\"https://doi.org/10.1007/s00453-021-00905-9\">10.1007/s00453-021-00905-9</a>","chicago":"Alistarh, Dan-Adrian, Giorgi Nadiradze, and Amirmojtaba Sabour. “Dynamic Averaging Load Balancing on Cycles.” <i>Algorithmica</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00453-021-00905-9\">https://doi.org/10.1007/s00453-021-00905-9</a>.","apa":"Alistarh, D.-A., Nadiradze, G., &#38; Sabour, A. (2021). Dynamic averaging load balancing on cycles. <i>Algorithmica</i>. Virtual, Online; Germany: Springer Nature. <a href=\"https://doi.org/10.1007/s00453-021-00905-9\">https://doi.org/10.1007/s00453-021-00905-9</a>","ista":"Alistarh D-A, Nadiradze G, Sabour A. 2021. Dynamic averaging load balancing on cycles. Algorithmica.","mla":"Alistarh, Dan-Adrian, et al. “Dynamic Averaging Load Balancing on Cycles.” <i>Algorithmica</i>, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s00453-021-00905-9\">10.1007/s00453-021-00905-9</a>."},"year":"2021","date_updated":"2024-03-05T07:35:53Z","abstract":[{"text":"We consider the following dynamic load-balancing process: given an underlying graph G with n nodes, in each step t≥ 0, one unit of load is created, and placed at a randomly chosen graph node. In the same step, the chosen node picks a random neighbor, and the two nodes balance their loads by averaging them. We are interested in the expected gap between the minimum and maximum loads at nodes as the process progresses, and its dependence on n and on the graph structure. Variants of the above graphical balanced allocation process have been studied previously by Peres, Talwar, and Wieder [Peres et al., 2015], and by Sauerwald and Sun [Sauerwald and Sun, 2015]. These authors left as open the question of characterizing the gap in the case of cycle graphs in the dynamic case, where weights are created during the algorithm’s execution. For this case, the only known upper bound is of 𝒪(n log n), following from a majorization argument due to [Peres et al., 2015], which analyzes a related graphical allocation process. In this paper, we provide an upper bound of 𝒪 (√n log n) on the expected gap of the above process for cycles of length n. We introduce a new potential analysis technique, which enables us to bound the difference in load between k-hop neighbors on the cycle, for any k ≤ n/2. We complement this with a \"gap covering\" argument, which bounds the maximum value of the gap by bounding its value across all possible subsets of a certain structure, and recursively bounding the gaps within each subset. We provide analytical and experimental evidence that our upper bound on the gap is tight up to a logarithmic factor. ","lang":"eng"}],"arxiv":1,"_id":"8286","oa":1,"publication_identifier":{"eissn":["1432-0541"],"issn":["0178-4617"]},"status":"public","ec_funded":1,"month":"12"},{"ec_funded":1,"month":"02","oa":1,"publication_identifier":{"issn":["01788051"],"eissn":["14322064"]},"status":"public","_id":"8601","year":"2021","abstract":[{"text":"We consider large non-Hermitian real or complex random matrices X with independent, identically distributed centred entries. We prove that their local eigenvalue statistics near the spectral edge, the unit circle, coincide with those of the Ginibre ensemble, i.e. when the matrix elements of X are Gaussian. This result is the non-Hermitian counterpart of the universality of the Tracy–Widom distribution at the spectral edges of the Wigner ensemble.","lang":"eng"}],"arxiv":1,"date_updated":"2024-03-07T15:07:53Z","citation":{"apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2021). Edge universality for non-Hermitian random matrices. <i>Probability Theory and Related Fields</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00440-020-01003-7\">https://doi.org/10.1007/s00440-020-01003-7</a>","ista":"Cipolloni G, Erdös L, Schröder DJ. 2021. Edge universality for non-Hermitian random matrices. Probability Theory and Related Fields.","mla":"Cipolloni, Giorgio, et al. “Edge Universality for Non-Hermitian Random Matrices.” <i>Probability Theory and Related Fields</i>, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s00440-020-01003-7\">10.1007/s00440-020-01003-7</a>.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Edge Universality for Non-Hermitian Random Matrices.” <i>Probability Theory and Related Fields</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00440-020-01003-7\">https://doi.org/10.1007/s00440-020-01003-7</a>.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).","ama":"Cipolloni G, Erdös L, Schröder DJ. Edge universality for non-Hermitian random matrices. <i>Probability Theory and Related Fields</i>. 2021. doi:<a href=\"https://doi.org/10.1007/s00440-020-01003-7\">10.1007/s00440-020-01003-7</a>","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Edge universality for non-Hermitian random matrices,” <i>Probability Theory and Related Fields</i>. Springer Nature, 2021."},"ddc":["510"],"scopus_import":"1","file_date_updated":"2020-10-05T14:53:40Z","date_published":"2021-02-01T00:00:00Z","oa_version":"Published Version","doi":"10.1007/s00440-020-01003-7","publication_status":"published","title":"Edge universality for non-Hermitian random matrices","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature","file":[{"success":1,"file_size":497032,"content_type":"application/pdf","relation":"main_file","date_created":"2020-10-05T14:53:40Z","date_updated":"2020-10-05T14:53:40Z","file_name":"2020_ProbTheory_Cipolloni.pdf","access_level":"open_access","file_id":"8612","checksum":"611ae28d6055e1e298d53a57beb05ef4","creator":"dernst"}],"isi":1,"author":[{"orcid":"0000-0002-4901-7992","first_name":"Giorgio","last_name":"Cipolloni","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","full_name":"Cipolloni, Giorgio"},{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"first_name":"Dominik J","orcid":"0000-0002-2904-1856","last_name":"Schröder","id":"408ED176-F248-11E8-B48F-1D18A9856A87","full_name":"Schröder, Dominik J"}],"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","grant_number":"338804"},{"_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program","call_identifier":"H2020"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"01","quality_controlled":"1","external_id":{"arxiv":["1908.00969"],"isi":["000572724600002"]},"article_processing_charge":"Yes (via OA deal)","article_type":"original","department":[{"_id":"LaEr"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Probability Theory and Related Fields","date_created":"2020-10-04T22:01:37Z","has_accepted_license":"1"},{"article_type":"original","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000591139000001"]},"quality_controlled":"1","volume":381,"has_accepted_license":"1","page":"83–117","date_created":"2020-11-29T23:01:17Z","publication":"Communications in Mathematical Physics","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"MiLe"}],"publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","title":"Area-dependent quantum field theory","acknowledgement":"The authors thank Yuki Arano, Nils Carqueville, Alexei Davydov, Reiner Lauterbach, Pau Enrique Moliner, Chris Heunen, André Henriques, Ehud Meir, Catherine Meusburger, Gregor Schaumann, Richard Szabo and Stefan Wagner for helpful discussions and comments. We also thank the referees for their detailed comments which significantly improved the exposition of this paper. LS is supported by the DFG Research Training Group 1670 “Mathematics Inspired by String Theory and Quantum Field Theory”. Open access funding provided by Institute of Science and Technology (IST Austria).","day":"01","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"author":[{"first_name":"Ingo","last_name":"Runkel","full_name":"Runkel, Ingo"},{"id":"7943226E-220E-11EA-94C7-D59F3DDC885E","last_name":"Szegedy","orcid":"0000-0003-2834-5054","first_name":"Lorant","full_name":"Szegedy, Lorant"}],"file":[{"access_level":"open_access","checksum":"6f451f9c2b74bedbc30cf884a3e02670","creator":"dernst","file_id":"9081","date_created":"2021-02-03T15:00:30Z","file_name":"2021_CommMathPhys_Runkel.pdf","date_updated":"2021-02-03T15:00:30Z","file_size":790526,"success":1,"relation":"main_file","content_type":"application/pdf"}],"scopus_import":"1","file_date_updated":"2021-02-03T15:00:30Z","ddc":["510"],"intvolume":"       381","citation":{"mla":"Runkel, Ingo, and Lorant Szegedy. “Area-Dependent Quantum Field Theory.” <i>Communications in Mathematical Physics</i>, vol. 381, no. 1, Springer Nature, 2021, pp. 83–117, doi:<a href=\"https://doi.org/10.1007/s00220-020-03902-1\">10.1007/s00220-020-03902-1</a>.","ista":"Runkel I, Szegedy L. 2021. Area-dependent quantum field theory. Communications in Mathematical Physics. 381(1), 83–117.","apa":"Runkel, I., &#38; Szegedy, L. (2021). Area-dependent quantum field theory. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-020-03902-1\">https://doi.org/10.1007/s00220-020-03902-1</a>","chicago":"Runkel, Ingo, and Lorant Szegedy. “Area-Dependent Quantum Field Theory.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00220-020-03902-1\">https://doi.org/10.1007/s00220-020-03902-1</a>.","short":"I. Runkel, L. Szegedy, Communications in Mathematical Physics 381 (2021) 83–117.","ieee":"I. Runkel and L. Szegedy, “Area-dependent quantum field theory,” <i>Communications in Mathematical Physics</i>, vol. 381, no. 1. Springer Nature, pp. 83–117, 2021.","ama":"Runkel I, Szegedy L. Area-dependent quantum field theory. <i>Communications in Mathematical Physics</i>. 2021;381(1):83–117. doi:<a href=\"https://doi.org/10.1007/s00220-020-03902-1\">10.1007/s00220-020-03902-1</a>"},"publication_status":"published","doi":"10.1007/s00220-020-03902-1","oa_version":"Published Version","date_published":"2021-01-01T00:00:00Z","status":"public","oa":1,"publication_identifier":{"issn":["00103616"],"eissn":["14320916"]},"month":"01","date_updated":"2023-08-04T11:13:35Z","issue":"1","abstract":[{"text":"Area-dependent quantum field theory is a modification of two-dimensional topological quantum field theory, where one equips each connected component of a bordism with a positive real number—interpreted as area—which behaves additively under glueing. As opposed to topological theories, in area-dependent theories the state spaces can be infinite-dimensional. We introduce the notion of regularised Frobenius algebras in Hilbert spaces and show that area-dependent theories are in one-to-one correspondence to commutative regularised Frobenius algebras. We also provide a state sum construction for area-dependent theories. Our main example is two-dimensional Yang–Mills theory with compact gauge group, which we treat in detail.","lang":"eng"}],"year":"2021","_id":"8816"},{"language":[{"iso":"eng"}],"department":[{"_id":"GradSch"}],"type":"journal_article","date_created":"2021-02-15T09:27:14Z","publication":"Letters in Mathematical Physics","has_accepted_license":"1","external_id":{"isi":["000617531900001"]},"volume":111,"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"quality_controlled":"1","article_processing_charge":"Yes (via OA deal)","article_type":"original","file":[{"relation":"main_file","content_type":"application/pdf","file_size":329332,"success":1,"creator":"dernst","file_id":"9122","checksum":"eaf1b3ff5026f120f0929a5c417dc842","access_level":"open_access","date_updated":"2021-02-15T09:31:07Z","file_name":"2021_LettersMathPhysics_Lauritsen.pdf","date_created":"2021-02-15T09:31:07Z"}],"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"isi":1,"author":[{"full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","first_name":"Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","last_name":"Lauritsen"}],"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"day":"12","acknowledgement":"Most of this work was done as part of the author’s master’s thesis. The author would like to thank Jan Philip Solovej for his supervision of this process.\r\nOpen Access funding provided by Institute of Science and Technology (IST Austria)","title":"The BCS energy gap at low density","publisher":"Springer Nature","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","date_published":"2021-02-12T00:00:00Z","oa_version":"Published Version","publication_status":"published","doi":"10.1007/s11005-021-01358-5","intvolume":"       111","citation":{"ista":"Lauritsen AB. 2021. The BCS energy gap at low density. Letters in Mathematical Physics. 111, 20.","mla":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters in Mathematical Physics</i>, vol. 111, 20, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01358-5\">10.1007/s11005-021-01358-5</a>.","apa":"Lauritsen, A. B. (2021). The BCS energy gap at low density. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01358-5\">https://doi.org/10.1007/s11005-021-01358-5</a>","chicago":"Lauritsen, Asbjørn Bækgaard. “The BCS Energy Gap at Low Density.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01358-5\">https://doi.org/10.1007/s11005-021-01358-5</a>.","ieee":"A. B. Lauritsen, “The BCS energy gap at low density,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","ama":"Lauritsen AB. The BCS energy gap at low density. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-021-01358-5\">10.1007/s11005-021-01358-5</a>","short":"A.B. Lauritsen, Letters in Mathematical Physics 111 (2021)."},"ddc":["510"],"file_date_updated":"2021-02-15T09:31:07Z","_id":"9121","article_number":"20","year":"2021","date_updated":"2023-09-05T15:17:16Z","abstract":[{"text":"We show that the energy gap for the BCS gap equation is\r\nΞ=μ(8e−2+o(1))exp(π2μ−−√a)\r\nin the low density limit μ→0. Together with the similar result for the critical temperature by Hainzl and Seiringer (Lett Math Phys 84: 99–107, 2008), this shows that, in the low density limit, the ratio of the energy gap and critical temperature is a universal constant independent of the interaction potential V. The results hold for a class of potentials with negative scattering length a and no bound states.","lang":"eng"}],"month":"02","publication_identifier":{"issn":["0377-9017"],"eissn":["1573-0530"]},"oa":1,"status":"public"},{"title":"Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation","publisher":"IOP Publishing","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"file_name":"2021_JourStatMech_deNicola.pdf","date_updated":"2021-02-19T14:04:40Z","date_created":"2021-02-19T14:04:40Z","file_id":"9172","creator":"dernst","checksum":"64e2aae4837790db26e1dd1986c69c07","access_level":"open_access","content_type":"application/pdf","relation":"main_file","success":1,"file_size":1693609}],"project":[{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"author":[{"last_name":"De Nicola","id":"42832B76-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4842-6671","first_name":"Stefano","full_name":"De Nicola, Stefano"}],"day":"05","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"acknowledgement":"S D N would like to thank M J Bhaseen, J Chalker, B Doyon, V Gritsev, A Lamacraft,\r\nA Michailidis and M Serbyn for helpful feedback and stimulating conversations. S D N\r\nacknowledges funding from the Institute of Science and Technology (IST) Austria, and\r\nfrom the European Union’s Horizon 2020 research and innovation program under the\r\nMarie Sk\blodowska-Curie Grant Agreement No. 754411. S D N also acknowledges funding\r\nfrom the EPSRC Center for Doctoral Training in Cross-Disciplinary Approaches to Non-\r\nEquilibrium Systems (CANES) under Grant EP/L015854/1. S D N is grateful to IST\r\nAustria for providing open access funding.","external_id":{"isi":["000605080300001"]},"volume":2021,"quality_controlled":"1","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability","Statistical and Nonlinear Physics"],"article_type":"original","article_processing_charge":"No","language":[{"iso":"eng"}],"department":[{"_id":"MaSe"}],"type":"journal_article","date_created":"2021-02-17T17:48:46Z","publication":"Journal of Statistical Mechanics: Theory and Experiment","has_accepted_license":"1","ec_funded":1,"month":"01","publication_identifier":{"issn":["1742-5468"]},"oa":1,"status":"public","_id":"9158","article_number":"013101","year":"2021","date_updated":"2023-08-07T13:46:28Z","issue":"1","abstract":[{"text":"While several tools have been developed to study the ground state of many-body quantum spin systems, the limitations of existing techniques call for the exploration of new approaches. In this manuscript we develop an alternative analytical and numerical framework for many-body quantum spin ground states, based on the disentanglement formalism. In this approach, observables are exactly expressed as Gaussian-weighted functional integrals over scalar fields. We identify the leading contribution to these integrals, given by the saddle point of a suitable effective action. Analytically, we develop a field-theoretical expansion of the functional integrals, performed by means of appropriate Feynman rules. The expansion can be truncated to a desired order to obtain analytical approximations to observables. Numerically, we show that the disentanglement approach can be used to compute ground state expectation values from classical stochastic processes. While the associated fluctuations grow exponentially with imaginary time and the system size, this growth can be mitigated by means of an importance sampling scheme based on knowledge of the saddle point configuration. We illustrate the advantages and limitations of our methods by considering the quantum Ising model in 1, 2 and 3 spatial dimensions. Our analytical and numerical approaches are applicable to a broad class of systems, bridging concepts from quantum lattice models, continuum field theory, and classical stochastic processes.","lang":"eng"}],"intvolume":"      2021","citation":{"ama":"De Nicola S. Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. 2021;2021(1). doi:<a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">10.1088/1742-5468/abc7c7</a>","ieee":"S. De Nicola, “Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation,” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2021, no. 1. IOP Publishing, 2021.","short":"S. De Nicola, Journal of Statistical Mechanics: Theory and Experiment 2021 (2021).","ista":"De Nicola S. 2021. Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory and Experiment. 2021(1), 013101.","mla":"De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2021, no. 1, 013101, IOP Publishing, 2021, doi:<a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">10.1088/1742-5468/abc7c7</a>.","apa":"De Nicola, S. (2021). Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">https://doi.org/10.1088/1742-5468/abc7c7</a>","chicago":"De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation.” <i>Journal of Statistical Mechanics: Theory and Experiment</i>. IOP Publishing, 2021. <a href=\"https://doi.org/10.1088/1742-5468/abc7c7\">https://doi.org/10.1088/1742-5468/abc7c7</a>."},"ddc":["530"],"file_date_updated":"2021-02-19T14:04:40Z","date_published":"2021-01-05T00:00:00Z","oa_version":"Published Version","publication_status":"published","doi":"10.1088/1742-5468/abc7c7"}]