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Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners. 2020. doi:<a href=\"https://doi.org/10.6084/m9.figshare.5973013.v1\">10.6084/m9.figshare.5973013.v1</a>","short":"R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, (2020).","chicago":"Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin Nowak. “Data and Mathematica Notebooks for Plotting Figures from Language Learning with Communication between Learners from Language Acquisition with Communication between Learners.” Royal Society, 2020. <a href=\"https://doi.org/10.6084/m9.figshare.5973013.v1\">https://doi.org/10.6084/m9.figshare.5973013.v1</a>.","ieee":"R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners.” Royal Society, 2020.","ista":"Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2020. Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners, Royal Society, <a href=\"https://doi.org/10.6084/m9.figshare.5973013.v1\">10.6084/m9.figshare.5973013.v1</a>.","mla":"Ibsen-Jensen, Rasmus, et al. <i>Data and Mathematica Notebooks for Plotting Figures from Language Learning with Communication between Learners from Language Acquisition with Communication between Learners</i>. Royal Society, 2020, doi:<a href=\"https://doi.org/10.6084/m9.figshare.5973013.v1\">10.6084/m9.figshare.5973013.v1</a>.","apa":"Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., &#38; Nowak, M. (2020). Data and mathematica notebooks for plotting figures from language learning with communication between learners from language acquisition with communication between learners. 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Gunner, Leonid A Sazanov, Christophe Chipot, and Abhishek Singharoy. “Movies.” American Chemical Society, 2020. <a href=\"https://doi.org/10.1021/jacs.9b13450.s002\">https://doi.org/10.1021/jacs.9b13450.s002</a>.","ama":"Gupta C, Khaniya U, Chan CK, et al. Movies. 2020. doi:<a href=\"https://doi.org/10.1021/jacs.9b13450.s002\">10.1021/jacs.9b13450.s002</a>","short":"C. Gupta, U. Khaniya, C.K. Chan, F. Dehez, M. Shekhar, M.R. Gunner, L.A. Sazanov, C. Chipot, A. Singharoy, (2020).","ieee":"C. Gupta <i>et al.</i>, “Movies.” American Chemical Society, 2020.","mla":"Gupta, Chitrak, et al. <i>Movies</i>. American Chemical Society, 2020, doi:<a href=\"https://doi.org/10.1021/jacs.9b13450.s002\">10.1021/jacs.9b13450.s002</a>.","apa":"Gupta, C., Khaniya, U., Chan, C. K., Dehez, F., Shekhar, M., Gunner, M. R., … Singharoy, A. (2020). Movies. American Chemical Society. <a href=\"https://doi.org/10.1021/jacs.9b13450.s002\">https://doi.org/10.1021/jacs.9b13450.s002</a>","ista":"Gupta C, Khaniya U, Chan CK, Dehez F, Shekhar M, Gunner MR, Sazanov LA, Chipot C, Singharoy A. 2020. Movies, American Chemical Society, <a href=\"https://doi.org/10.1021/jacs.9b13450.s002\">10.1021/jacs.9b13450.s002</a>."},"author":[{"last_name":"Gupta","first_name":"Chitrak","full_name":"Gupta, Chitrak"},{"last_name":"Khaniya","first_name":"Umesh","full_name":"Khaniya, Umesh"},{"full_name":"Chan, Chun Kit","first_name":"Chun Kit","last_name":"Chan"},{"full_name":"Dehez, Francois","first_name":"Francois","last_name":"Dehez"},{"first_name":"Mrinal","full_name":"Shekhar, Mrinal","last_name":"Shekhar"},{"full_name":"Gunner, M.R.","first_name":"M.R.","last_name":"Gunner"},{"last_name":"Sazanov","orcid":"0000-0002-0977-7989","id":"338D39FE-F248-11E8-B48F-1D18A9856A87","first_name":"Leonid A","full_name":"Sazanov, Leonid A"},{"first_name":"Christophe","full_name":"Chipot, Christophe","last_name":"Chipot"},{"first_name":"Abhishek","full_name":"Singharoy, Abhishek","last_name":"Singharoy"}],"date_updated":"2023-08-22T07:49:38Z","oa_version":"Published Version","department":[{"_id":"LeSa"}]},{"publisher":"American Chemical Society ","date_published":"2020-01-08T00:00:00Z","title":"MURL_Dataz","date_created":"2021-08-11T13:16:03Z","article_processing_charge":"No","year":"2020","status":"public","_id":"9885","abstract":[{"text":"Data obtained from the fine-grained simulations used in Figures 2-5, data obtained from the coarse-grained numerical calculations used in Figure 6, and a sample script for the fine-grained simulation as a Jupyter notebook (ZIP)","lang":"eng"}],"doi":"10.1021/acs.nanolett.9b04445.s002","type":"research_data_reference","month":"01","related_material":{"record":[{"status":"public","id":"7166","relation":"used_in_publication"}]},"day":"08","citation":{"ieee":"M. C. Ucar and R. Lipowsky, “MURL_Dataz.” American Chemical Society , 2020.","short":"M.C. Ucar, R. Lipowsky, (2020).","ama":"Ucar MC, Lipowsky R. MURL_Dataz. 2020. doi:<a href=\"https://doi.org/10.1021/acs.nanolett.9b04445.s002\">10.1021/acs.nanolett.9b04445.s002</a>","chicago":"Ucar, Mehmet C, and Reinhard Lipowsky. “MURL_Dataz.” American Chemical Society , 2020. <a href=\"https://doi.org/10.1021/acs.nanolett.9b04445.s002\">https://doi.org/10.1021/acs.nanolett.9b04445.s002</a>.","ista":"Ucar MC, Lipowsky R. 2020. MURL_Dataz, American Chemical Society , <a href=\"https://doi.org/10.1021/acs.nanolett.9b04445.s002\">10.1021/acs.nanolett.9b04445.s002</a>.","apa":"Ucar, M. C., &#38; Lipowsky, R. (2020). MURL_Dataz. American Chemical Society . <a href=\"https://doi.org/10.1021/acs.nanolett.9b04445.s002\">https://doi.org/10.1021/acs.nanolett.9b04445.s002</a>","mla":"Ucar, Mehmet C., and Reinhard Lipowsky. <i>MURL_Dataz</i>. American Chemical Society , 2020, doi:<a href=\"https://doi.org/10.1021/acs.nanolett.9b04445.s002\">10.1021/acs.nanolett.9b04445.s002</a>."},"user_id":"6785fbc1-c503-11eb-8a32-93094b40e1cf","author":[{"last_name":"Ucar","orcid":"0000-0003-0506-4217","full_name":"Ucar, Mehmet C","first_name":"Mehmet C","id":"50B2A802-6007-11E9-A42B-EB23E6697425"},{"first_name":"Reinhard","full_name":"Lipowsky, Reinhard","last_name":"Lipowsky"}],"date_updated":"2023-08-17T14:07:52Z","oa_version":"Published Version","department":[{"_id":"EdHa"}]},{"quality_controlled":"1","date_published":"2019-04-01T00:00:00Z","title":"Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex","project":[{"_id":"25D92700-B435-11E9-9278-68D0E5697425","grant_number":"LS13-002","name":"Mapping Cell-Type Specificity of the Genomic Imprintome in the Brain"},{"_id":"25D7962E-B435-11E9-9278-68D0E5697425","name":"Quantitative Structure-Function Analysis of Cerebral Cortex Assembly at Clonal Level","grant_number":"RGP0053/2014"},{"grant_number":"618444","name":"Molecular Mechanisms of Cerebral Cortex Development","call_identifier":"FP7","_id":"25D61E48-B435-11E9-9278-68D0E5697425"},{"grant_number":"725780","name":"Principles of Neural Stem Cell Lineage Progression in Cerebral Cortex Development","call_identifier":"H2020","_id":"260018B0-B435-11E9-9278-68D0E5697425"}],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_processing_charge":"Yes (via OA deal)","volume":149,"publication":"Journal of Neurochemistry","year":"2019","date_created":"2018-12-11T11:44:14Z","ddc":["570"],"scopus_import":"1","file_date_updated":"2020-07-14T12:45:45Z","external_id":{"isi":["000462680200002"]},"_id":"27","oa":1,"author":[{"orcid":"0000-0002-3183-8207","id":"4CD6AAC6-F248-11E8-B48F-1D18A9856A87","full_name":"Amberg, Nicole","first_name":"Nicole","last_name":"Amberg"},{"last_name":"Laukoter","full_name":"Laukoter, Susanne","id":"2D6B7A9A-F248-11E8-B48F-1D18A9856A87","first_name":"Susanne","orcid":"0000-0002-7903-3010"},{"first_name":"Simon","id":"37B36620-F248-11E8-B48F-1D18A9856A87","full_name":"Hippenmeyer, Simon","orcid":"0000-0003-2279-1061","last_name":"Hippenmeyer"}],"citation":{"ieee":"N. Amberg, S. Laukoter, and S. Hippenmeyer, “Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex,” <i>Journal of Neurochemistry</i>, vol. 149, no. 1. Wiley, pp. 12–26, 2019.","chicago":"Amberg, Nicole, Susanne Laukoter, and Simon Hippenmeyer. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” <i>Journal of Neurochemistry</i>. Wiley, 2019. <a href=\"https://doi.org/10.1111/jnc.14601\">https://doi.org/10.1111/jnc.14601</a>.","short":"N. Amberg, S. Laukoter, S. Hippenmeyer, Journal of Neurochemistry 149 (2019) 12–26.","ama":"Amberg N, Laukoter S, Hippenmeyer S. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. <i>Journal of Neurochemistry</i>. 2019;149(1):12-26. doi:<a href=\"https://doi.org/10.1111/jnc.14601\">10.1111/jnc.14601</a>","mla":"Amberg, Nicole, et al. “Epigenetic Cues Modulating the Generation of Cell Type Diversity in the Cerebral Cortex.” <i>Journal of Neurochemistry</i>, vol. 149, no. 1, Wiley, 2019, pp. 12–26, doi:<a href=\"https://doi.org/10.1111/jnc.14601\">10.1111/jnc.14601</a>.","apa":"Amberg, N., Laukoter, S., &#38; Hippenmeyer, S. (2019). Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. <i>Journal of Neurochemistry</i>. Wiley. <a href=\"https://doi.org/10.1111/jnc.14601\">https://doi.org/10.1111/jnc.14601</a>","ista":"Amberg N, Laukoter S, Hippenmeyer S. 2019. Epigenetic cues modulating the generation of cell type diversity in the cerebral cortex. Journal of Neurochemistry. 149(1), 12–26."},"has_accepted_license":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","file":[{"creator":"kschuh","relation":"main_file","checksum":"db027721a95d36f5de36aadcd0bdf7e6","date_created":"2020-01-07T13:35:52Z","file_id":"7239","access_level":"open_access","file_size":889709,"content_type":"application/pdf","date_updated":"2020-07-14T12:45:45Z","file_name":"2019_Wiley_Amberg.pdf"}],"department":[{"_id":"SiHi"}],"oa_version":"Published Version","date_updated":"2023-09-11T13:40:26Z","type":"journal_article","publisher":"Wiley","language":[{"iso":"eng"}],"article_type":"review","page":"12-26","intvolume":"       149","doi":"10.1111/jnc.14601","abstract":[{"lang":"eng","text":"The cerebral cortex is composed of a large variety of distinct cell-types including projection neurons, interneurons and glial cells which emerge from distinct neural stem cell (NSC) lineages. The vast majority of cortical projection neurons and certain classes of glial cells are generated by radial glial progenitor cells (RGPs) in a highly orchestrated manner. Recent studies employing single cell analysis and clonal lineage tracing suggest that NSC and RGP lineage progression are regulated in a profound deterministic manner. In this review we focus on recent advances based mainly on correlative phenotypic data emerging from functional genetic studies in mice. We establish hypotheses to test in future research and outline a conceptual framework how epigenetic cues modulate the generation of cell-type diversity during cortical development. This article is protected by copyright. All rights reserved."}],"license":"https://creativecommons.org/licenses/by/4.0/","issue":"1","status":"public","ec_funded":1,"day":"01","publication_status":"published","acknowledgement":" This work was supported by IST Austria institutional funds; NÖ Forschung und Bildung \r\nn[f+b]   (C13-002)   to   SH;   a   program   grant   from   the   Human   Frontiers   Science   Program (RGP0053/2014)  to SH;  the  People  Programme  (Marie  Curie  Actions)  of  the  European  Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement No 618444 to SH, and the  European  Research  Council  (ERC)  under  the  European  Union’s  Horizon  2020  research  and innovation programme (grant agreement No 725780 LinPro)to SH.\r\n","month":"04","isi":1},{"quality_controlled":"1","date_published":"2019-03-01T00:00:00Z","title":"A Feynman–Kac formula for stochastic Dirichlet problems","article_processing_charge":"No","volume":129,"publication":"Stochastic Processes and their Applications","year":"2019","main_file_link":[{"url":"https://arxiv.org/abs/1611.04177","open_access":"1"}],"date_created":"2018-12-11T11:45:42Z","scopus_import":"1","external_id":{"arxiv":["1611.04177"],"isi":["000458945300012"]},"_id":"301","author":[{"last_name":"Gerencser","full_name":"Gerencser, Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate"},{"first_name":"István","full_name":"Gyöngy, István","last_name":"Gyöngy"}],"oa":1,"citation":{"chicago":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>.","ama":"Gerencser M, Gyöngy I. A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and their Applications</i>. 2019;129(3):995-1012. doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>","short":"M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012.","ieee":"M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet problems,” <i>Stochastic Processes and their Applications</i>, vol. 129, no. 3. Elsevier, pp. 995–1012, 2019.","mla":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>, vol. 129, no. 3, Elsevier, 2019, pp. 995–1012, doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>.","apa":"Gerencser, M., &#38; Gyöngy, I. (2019). A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and Their Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>","ista":"Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 129(3), 995–1012."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","department":[{"_id":"JaMa"}],"oa_version":"Preprint","date_updated":"2023-08-24T14:20:49Z","type":"journal_article","publisher":"Elsevier","language":[{"iso":"eng"}],"arxiv":1,"article_type":"original","page":"995-1012","intvolume":"       129","doi":"10.1016/j.spa.2018.04.003","abstract":[{"text":"A representation formula for solutions of stochastic partial differential equations with Dirichlet boundary conditions is proved. The scope of our setting is wide enough to cover the general situation when the backward characteristics that appear in the usual formulation are not even defined in the Itô sense.","lang":"eng"}],"issue":"3","status":"public","day":"01","publication_status":"published","month":"03","isi":1},{"language":[{"iso":"eng"}],"intvolume":"       173","page":"697–758","article_type":"original","publisher":"Springer","acknowledgement":"MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n","publication_status":"published","day":"01","isi":1,"month":"04","issue":"3-4","abstract":[{"lang":"eng","text":"We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition."}],"publist_id":"7546","doi":"10.1007/s00440-018-0841-1","status":"public","publication_identifier":{"issn":["01788051"],"eissn":["14322064"]},"year":"2019","publication":"Probability Theory and Related Fields","volume":173,"article_processing_charge":"Yes (via OA deal)","ddc":["510"],"date_created":"2018-12-11T11:45:48Z","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"date_published":"2019-04-01T00:00:00Z","title":"Singular SPDEs in domains with boundaries","quality_controlled":"1","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_updated":"2023-08-24T14:38:32Z","oa_version":"Published Version","file":[{"creator":"dernst","checksum":"288d16ef7291242f485a9660979486e3","relation":"main_file","file_id":"5722","date_created":"2018-12-17T16:25:24Z","access_level":"open_access","date_updated":"2020-07-14T12:46:03Z","content_type":"application/pdf","file_size":893182,"file_name":"2018_ProbTheory_Gerencser.pdf"}],"department":[{"_id":"JaMa"}],"citation":{"apa":"Gerencser, M., &#38; Hairer, M. (2019). Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. Springer. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>","mla":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4, Springer, 2019, pp. 697–758, doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>.","ista":"Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758.","ieee":"M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4. Springer, pp. 697–758, 2019.","chicago":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>.","ama":"Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. 2019;173(3-4):697–758. doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>","short":"M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","has_accepted_license":"1","author":[{"id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate","full_name":"Gerencser, Mate","last_name":"Gerencser"},{"full_name":"Hairer, Martin","first_name":"Martin","last_name":"Hairer"}],"oa":1,"type":"journal_article","external_id":{"isi":["000463613800001"]},"file_date_updated":"2020-07-14T12:46:03Z","scopus_import":"1","_id":"319"},{"title":"New correlated phenomena in magic-angle twisted bilayer graphene/s","date_published":"2019-02-28T00:00:00Z","quality_controlled":"1","publisher":"Simons Foundation ; University of California, Riverside","year":"2019","main_file_link":[{"open_access":"1","url":"https://www.condmatjclub.org/?p=3541"}],"article_processing_charge":"No","volume":"03","language":[{"iso":"eng"}],"publication":"Journal Club for Condensed Matter Physics","intvolume":"         3","date_created":"2022-01-25T15:09:58Z","article_type":"original","doi":"10.36471/jccm_february_2019_03","abstract":[{"text":"Since the discovery of correlated insulators and superconductivity in magic-angle twisted bilayer graphene (tBLG) ([1, 2], JCCM April 2018), theorists have been excitedly pursuing the alluring mix of band topology, symmetry breaking, Mott insulators and superconductivity at play, as well as the potential relation (if any) to high-Tc physics. Now a new stream\r\nof experimental work is arriving which further enriches the story. To briefly recap Episodes 1 and 2 (JCCM April and November 2018), when two graphene layers are stacked with a small rotational mismatch θ, the resulting long-wavelength moire pattern leads to a superlattice potential which reconstructs the low energy band structure. When θ approaches the “magic-angle” θM ∼ 1 ◦, the band structure features eight nearly-flat bands which fill when the electron number per moire unit cell, n/n0, lies between −4 < n/n0 < 4. The bands can be counted as 8 = 2 × 2 × 2: for each spin (2×) and valley (2×) characteristic of monolayergraphene, tBLG has has 2× flat bands which cross at mini-Dirac points.","lang":"eng"}],"_id":"10664","status":"public","date_updated":"2022-01-25T15:56:39Z","oa_version":"Published Version","publication_status":"published","oa":1,"author":[{"last_name":"Yankowitz","full_name":"Yankowitz, Mathew","first_name":"Mathew"},{"full_name":"Chen, Shaowen","first_name":"Shaowen","last_name":"Chen"},{"last_name":"Polshyn","full_name":"Polshyn, Hryhoriy","first_name":"Hryhoriy","id":"edfc7cb1-526e-11ec-b05a-e6ecc27e4e48","orcid":"0000-0001-8223-8896"},{"full_name":"Watanabe, K.","first_name":"K.","last_name":"Watanabe"},{"last_name":"Taniguchi","first_name":"T.","full_name":"Taniguchi, T."},{"last_name":"Graf","full_name":"Graf, David","first_name":"David"},{"full_name":"Young, Andrea F.","first_name":"Andrea F.","last_name":"Young"},{"last_name":"Dean","first_name":"Cory R.","full_name":"Dean, Cory R."},{"first_name":"Aaron L.","full_name":"Sharpe, Aaron L.","last_name":"Sharpe"},{"last_name":"Fox","full_name":"Fox, E.J.","first_name":"E.J."},{"full_name":"Barnard, A.W.","first_name":"A.W.","last_name":"Barnard"},{"last_name":"Finney","full_name":"Finney, Joe","first_name":"Joe"}],"citation":{"ieee":"M. Yankowitz <i>et al.</i>, “New correlated phenomena in magic-angle twisted bilayer graphene/s,” <i>Journal Club for Condensed Matter Physics</i>, vol. 03. Simons Foundation ; University of California, Riverside, 2019.","chicago":"Yankowitz, Mathew, Shaowen Chen, Hryhoriy Polshyn, K. Watanabe, T. Taniguchi, David Graf, Andrea F. Young, et al. “New Correlated Phenomena in Magic-Angle Twisted Bilayer Graphene/S.” <i>Journal Club for Condensed Matter Physics</i>. Simons Foundation ; University of California, Riverside, 2019. <a href=\"https://doi.org/10.36471/jccm_february_2019_03\">https://doi.org/10.36471/jccm_february_2019_03</a>.","ama":"Yankowitz M, Chen S, Polshyn H, et al. New correlated phenomena in magic-angle twisted bilayer graphene/s. <i>Journal Club for Condensed Matter Physics</i>. 2019;03. doi:<a href=\"https://doi.org/10.36471/jccm_february_2019_03\">10.36471/jccm_february_2019_03</a>","short":"M. Yankowitz, S. Chen, H. Polshyn, K. Watanabe, T. Taniguchi, D. Graf, A.F. Young, C.R. Dean, A.L. Sharpe, E.J. Fox, A.W. Barnard, J. Finney, Journal Club for Condensed Matter Physics 03 (2019).","mla":"Yankowitz, Mathew, et al. “New Correlated Phenomena in Magic-Angle Twisted Bilayer Graphene/S.” <i>Journal Club for Condensed Matter Physics</i>, vol. 03, Simons Foundation ; University of California, Riverside, 2019, doi:<a href=\"https://doi.org/10.36471/jccm_february_2019_03\">10.36471/jccm_february_2019_03</a>.","apa":"Yankowitz, M., Chen, S., Polshyn, H., Watanabe, K., Taniguchi, T., Graf, D., … Finney, J. (2019). New correlated phenomena in magic-angle twisted bilayer graphene/s. <i>Journal Club for Condensed Matter Physics</i>. Simons Foundation ; University of California, Riverside. <a href=\"https://doi.org/10.36471/jccm_february_2019_03\">https://doi.org/10.36471/jccm_february_2019_03</a>","ista":"Yankowitz M, Chen S, Polshyn H, Watanabe K, Taniguchi T, Graf D, Young AF, Dean CR, Sharpe AL, Fox EJ, Barnard AW, Finney J. 2019. New correlated phenomena in magic-angle twisted bilayer graphene/s. Journal Club for Condensed Matter Physics. 03."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","day":"28","month":"02","type":"journal_article"},{"type":"journal_article","citation":{"ista":"Ionica S, Kılıçer P, Lauter K, Lorenzo García E, Manzateanu M-A, Massierer M, Vincent C. 2019. Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. 5, 9.","apa":"Ionica, S., Kılıçer, P., Lauter, K., Lorenzo García, E., Manzateanu, M.-A., Massierer, M., &#38; Vincent, C. (2019). Modular invariants for genus 3 hyperelliptic curves. <i>Research in Number Theory</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40993-018-0146-6\">https://doi.org/10.1007/s40993-018-0146-6</a>","mla":"Ionica, Sorina, et al. “Modular Invariants for Genus 3 Hyperelliptic Curves.” <i>Research in Number Theory</i>, vol. 5, 9, Springer Nature, 2019, doi:<a href=\"https://doi.org/10.1007/s40993-018-0146-6\">10.1007/s40993-018-0146-6</a>.","ama":"Ionica S, Kılıçer P, Lauter K, et al. Modular invariants for genus 3 hyperelliptic curves. <i>Research in Number Theory</i>. 2019;5. doi:<a href=\"https://doi.org/10.1007/s40993-018-0146-6\">10.1007/s40993-018-0146-6</a>","short":"S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M. Massierer, C. Vincent, Research in Number Theory 5 (2019).","chicago":"Ionica, Sorina, Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Maria-Adelina Manzateanu, Maike Massierer, and Christelle Vincent. “Modular Invariants for Genus 3 Hyperelliptic Curves.” <i>Research in Number Theory</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1007/s40993-018-0146-6\">https://doi.org/10.1007/s40993-018-0146-6</a>.","ieee":"S. Ionica <i>et al.</i>, “Modular invariants for genus 3 hyperelliptic curves,” <i>Research in Number Theory</i>, vol. 5. Springer Nature, 2019."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"full_name":"Ionica, Sorina","first_name":"Sorina","last_name":"Ionica"},{"last_name":"Kılıçer","full_name":"Kılıçer, Pınar","first_name":"Pınar"},{"last_name":"Lauter","first_name":"Kristin","full_name":"Lauter, Kristin"},{"last_name":"Lorenzo García","full_name":"Lorenzo García, Elisa","first_name":"Elisa"},{"last_name":"Manzateanu","id":"be8d652e-a908-11ec-82a4-e2867729459c","first_name":"Maria-Adelina","full_name":"Manzateanu, Maria-Adelina"},{"first_name":"Maike","full_name":"Massierer, Maike","last_name":"Massierer"},{"first_name":"Christelle","full_name":"Vincent, Christelle","last_name":"Vincent"}],"oa":1,"oa_version":"Preprint","date_updated":"2023-09-05T15:39:31Z","department":[{"_id":"TiBr"}],"_id":"10874","scopus_import":"1","external_id":{"arxiv":["1807.08986"]},"date_created":"2022-03-18T12:09:48Z","publication":"Research in Number Theory","article_processing_charge":"No","volume":5,"year":"2019","main_file_link":[{"url":"https://arxiv.org/abs/1807.08986","open_access":"1"}],"quality_controlled":"1","date_published":"2019-01-02T00:00:00Z","title":"Modular invariants for genus 3 hyperelliptic curves","keyword":["Algebra and Number Theory"],"month":"01","day":"02","acknowledgement":"The authors would like to thank the Lorentz Center in Leiden for hosting the Women in Numbers Europe 2 workshop and providing a productive and enjoyable environment for our initial work on this project. We are grateful to the organizers of WIN-E2, Irene Bouw, Rachel Newton and Ekin Ozman, for making this conference and this collaboration possible. We\r\nthank Irene Bouw and Christophe Ritzenhaler for helpful discussions. Ionica acknowledges support from the Thomas Jefferson Fund of the Embassy of France in the United States and the FACE Foundation. Most of Kılıçer’s work was carried out during her stay in Universiteit Leiden and Carl von Ossietzky Universität Oldenburg. Massierer was supported by the Australian Research Council (DP150101689). Vincent is supported by the National Science Foundation under Grant No. DMS-1802323 and by the Thomas Jefferson Fund of the Embassy of France in the United States and the FACE Foundation. ","publication_status":"published","publication_identifier":{"issn":["2522-0160"],"eissn":["2363-9555"]},"status":"public","doi":"10.1007/s40993-018-0146-6","abstract":[{"lang":"eng","text":"In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary octics to Siegel modular forms of genus 3. We use this connection to show that certain modular functions, when restricted to the hyperelliptic locus, assume values whose denominators are products of powers of primes of bad reduction for the associated hyperelliptic curves. We illustrate our theorem with explicit computations. This work is motivated by the study of the values of these modular functions at CM points of the Siegel upper half-space, which, if their denominators are known, can be used to effectively compute models of (hyperelliptic, in our case) curves with CM."}],"article_type":"original","article_number":"9","intvolume":"         5","arxiv":1,"language":[{"iso":"eng"}],"publisher":"Springer Nature"},{"oa_version":"Published Version","date_updated":"2022-05-17T07:09:47Z","department":[{"_id":"ToHe"}],"file":[{"file_size":346415,"date_updated":"2022-05-17T06:55:49Z","content_type":"application/pdf","file_name":"2019_EPiCs_Frehse.pdf","success":1,"date_created":"2022-05-17T06:55:49Z","file_id":"11391","access_level":"open_access","creator":"dernst","relation":"main_file","checksum":"4b92e333db7b4e2349501a804dfede69"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","has_accepted_license":"1","citation":{"ista":"Frehse G, Abate A, Adzkiya D, Becchi A, Bu L, Cimatti A, Giacobbe M, Griggio A, Mover S, Mufid MS, Riouak I, Tonetta S, Zaffanella E. 2019. ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems. ARCH: International Workshop on Applied Verification on Continuous and Hybrid Systems, EPiC Series in Computing, vol. 61, 1–13.","mla":"Frehse, Goran, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics.” <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>, edited by Goran Frehse and Matthias Althoff, vol. 61, EasyChair, 2019, pp. 1–13, doi:<a href=\"https://doi.org/10.29007/rjwn\">10.29007/rjwn</a>.","apa":"Frehse, G., Abate, A., Adzkiya, D., Becchi, A., Bu, L., Cimatti, A., … Zaffanella, E. (2019). ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. In G. Frehse &#38; M. Althoff (Eds.), <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i> (Vol. 61, pp. 1–13). Montreal, Canada: EasyChair. <a href=\"https://doi.org/10.29007/rjwn\">https://doi.org/10.29007/rjwn</a>","ama":"Frehse G, Abate A, Adzkiya D, et al. ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics. In: Frehse G, Althoff M, eds. <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>. Vol 61. EasyChair; 2019:1-13. doi:<a href=\"https://doi.org/10.29007/rjwn\">10.29007/rjwn</a>","short":"G. Frehse, A. Abate, D. Adzkiya, A. Becchi, L. Bu, A. Cimatti, M. Giacobbe, A. Griggio, S. Mover, M.S. Mufid, I. Riouak, S. Tonetta, E. Zaffanella, in:, G. Frehse, M. Althoff (Eds.), ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems, EasyChair, 2019, pp. 1–13.","chicago":"Frehse, Goran, Alessandro Abate, Dieky Adzkiya, Anna Becchi, Lei Bu, Alessandro Cimatti, Mirco Giacobbe, et al. “ARCH-COMP19 Category Report: Hybrid Systems with Piecewise Constant Dynamics.” In <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>, edited by Goran Frehse and Matthias Althoff, 61:1–13. EasyChair, 2019. <a href=\"https://doi.org/10.29007/rjwn\">https://doi.org/10.29007/rjwn</a>.","ieee":"G. Frehse <i>et al.</i>, “ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics,” in <i>ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems</i>, Montreal, Canada, 2019, vol. 61, pp. 1–13."},"oa":1,"author":[{"full_name":"Frehse, Goran","first_name":"Goran","last_name":"Frehse"},{"full_name":"Abate, Alessandro","first_name":"Alessandro","last_name":"Abate"},{"first_name":"Dieky","full_name":"Adzkiya, Dieky","last_name":"Adzkiya"},{"full_name":"Becchi, Anna","first_name":"Anna","last_name":"Becchi"},{"last_name":"Bu","first_name":"Lei","full_name":"Bu, Lei"},{"last_name":"Cimatti","full_name":"Cimatti, Alessandro","first_name":"Alessandro"},{"orcid":"0000-0001-8180-0904","first_name":"Mirco","full_name":"Giacobbe, Mirco","id":"3444EA5E-F248-11E8-B48F-1D18A9856A87","last_name":"Giacobbe"},{"last_name":"Griggio","full_name":"Griggio, Alberto","first_name":"Alberto"},{"last_name":"Mover","first_name":"Sergio","full_name":"Mover, Sergio"},{"first_name":"Muhammad Syifa'ul","full_name":"Mufid, Muhammad Syifa'ul","last_name":"Mufid"},{"full_name":"Riouak, Idriss","first_name":"Idriss","last_name":"Riouak"},{"last_name":"Tonetta","first_name":"Stefano","full_name":"Tonetta, Stefano"},{"full_name":"Zaffanella, Enea","first_name":"Enea","last_name":"Zaffanella"}],"type":"conference","file_date_updated":"2022-05-17T06:55:49Z","scopus_import":"1","_id":"10877","editor":[{"last_name":"Frehse","full_name":"Frehse, Goran","first_name":"Goran"},{"full_name":"Althoff, Matthias","first_name":"Matthias","last_name":"Althoff"}],"year":"2019","publication":"ARCH19. 6th International Workshop on Applied Verification of Continuous and Hybrid Systems","article_processing_charge":"No","volume":61,"ddc":["000"],"date_created":"2022-03-18T12:29:23Z","title":"ARCH-COMP19 Category Report: Hybrid systems with piecewise constant dynamics","date_published":"2019-05-25T00:00:00Z","quality_controlled":"1","conference":{"name":"ARCH: International Workshop on Applied Verification on Continuous and Hybrid Systems","end_date":"2019-04-15","location":"Montreal, Canada","start_date":"2019-04-15"},"acknowledgement":"The authors gratefully acknowledge \fnancial support by the European Commission project\r\nUnCoVerCPS under grant number 643921. Lei Bu is supported by the National Natural Science\r\nFoundation of China (No.61572249).","publication_status":"published","day":"25","alternative_title":["EPiC Series in Computing"],"month":"05","abstract":[{"text":"This report presents the results of a friendly competition for formal verification of continuous and hybrid systems with piecewise constant dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2019. In this third edition, six tools have been applied to solve five different benchmark problems in the category for piecewise constant dynamics: BACH, Lyse, Hy- COMP, PHAVer/SX, PHAVerLite, and VeriSiMPL. Compared to last year, a new tool has participated (HyCOMP) and PHAVerLite has replaced PHAVer-lite. The result is a snap- shot of the current landscape of tools and the types of benchmarks they are particularly suited for. Due to the diversity of problems, we are not ranking tools, yet the presented results probably provide the most complete assessment of tools for the safety verification of continuous and hybrid systems with piecewise constant dynamics up to this date.","lang":"eng"}],"doi":"10.29007/rjwn","status":"public","publication_identifier":{"issn":["2398-7340"]},"language":[{"iso":"eng"}],"intvolume":"        61","page":"1-13","publisher":"EasyChair"},{"doi":"10.3934/dcds.2019126","abstract":[{"text":"Starting from a microscopic model for a system of neurons evolving in time which individually follow a stochastic integrate-and-fire type model, we study a mean-field limit of the system. Our model is described by a system of SDEs with discontinuous coefficients for the action potential of each neuron and takes into account the (random) spatial configuration of neurons allowing the interaction to depend on it. In the limit as the number of particles tends to infinity, we obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only with respect to one variable and discontinuous coefficients. We also study strong well-posedness of the system of SDEs and prove the existence and uniqueness of a weak measure-valued solution to the PDE, obtained as the limit of the laws of the empirical measures for the system of particles.","lang":"eng"}],"issue":"6","publication_identifier":{"issn":["1553-5231"]},"status":"public","day":"01","publication_status":"published","acknowledgement":"The second author has been partially supported by INdAM through the GNAMPA Research\r\nProject (2017) “Sistemi stocastici singolari: buona posizione e problemi di controllo”. The third\r\nauthor was partly funded by the Austrian Science Fund (FWF) project F 65.","isi":1,"month":"06","publisher":"American Institute of Mathematical Sciences","language":[{"iso":"eng"}],"arxiv":1,"page":"3037-3067","article_type":"original","intvolume":"        39","scopus_import":"1","external_id":{"isi":["000459954800003"],"arxiv":["1708.04156"]},"_id":"10878","citation":{"apa":"Flandoli, F., Priola, E., &#38; Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>","mla":"Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67, doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>.","ista":"Flandoli F, Priola E, Zanco GA. 2019. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 39(6), 3037–3067.","chicago":"Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2019. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>.","short":"F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.","ama":"Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. 2019;39(6):3037-3067. doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>","ieee":"F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"first_name":"Franco","full_name":"Flandoli, Franco","last_name":"Flandoli"},{"first_name":"Enrico","full_name":"Priola, Enrico","last_name":"Priola"},{"id":"47491882-F248-11E8-B48F-1D18A9856A87","full_name":"Zanco, Giovanni A","first_name":"Giovanni A","last_name":"Zanco"}],"oa":1,"oa_version":"Preprint","date_updated":"2023-09-08T11:34:45Z","department":[{"_id":"JaMa"}],"type":"journal_article","quality_controlled":"1","project":[{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"title":"A mean-field model with discontinuous coefficients for neurons with spatial interaction","date_published":"2019-06-01T00:00:00Z","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics","Analysis"],"publication":"Discrete and Continuous Dynamical Systems","volume":39,"article_processing_charge":"No","main_file_link":[{"url":"https://arxiv.org/abs/1708.04156","open_access":"1"}],"year":"2019","date_created":"2022-03-18T12:33:34Z"},{"_id":"10879","scopus_import":"1","external_id":{"isi":["000484709400006"],"arxiv":["1701.02956"]},"type":"journal_article","author":[{"last_name":"Dietlein","id":"317CB464-F248-11E8-B48F-1D18A9856A87","first_name":"Adrian M","full_name":"Dietlein, Adrian M"},{"last_name":"Gebert","full_name":"Gebert, Martin","first_name":"Martin"},{"first_name":"Peter","full_name":"Müller, Peter","last_name":"Müller"}],"oa":1,"citation":{"ieee":"A. M. Dietlein, M. Gebert, and P. Müller, “Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function,” <i>Journal of Spectral Theory</i>, vol. 9, no. 3. European Mathematical Society Publishing House, pp. 921–965, 2019.","short":"A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.","ama":"Dietlein AM, Gebert M, Müller P. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. <i>Journal of Spectral Theory</i>. 2019;9(3):921-965. doi:<a href=\"https://doi.org/10.4171/jst/267\">10.4171/jst/267</a>","chicago":"Dietlein, Adrian M, Martin Gebert, and Peter Müller. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” <i>Journal of Spectral Theory</i>. European Mathematical Society Publishing House, 2019. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>.","ista":"Dietlein AM, Gebert M, Müller P. 2019. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 9(3), 921–965.","apa":"Dietlein, A. M., Gebert, M., &#38; Müller, P. (2019). Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. <i>Journal of Spectral Theory</i>. European Mathematical Society Publishing House. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>","mla":"Dietlein, Adrian M., et al. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” <i>Journal of Spectral Theory</i>, vol. 9, no. 3, European Mathematical Society Publishing House, 2019, pp. 921–65, doi:<a href=\"https://doi.org/10.4171/jst/267\">10.4171/jst/267</a>."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","department":[{"_id":"LaEr"}],"date_updated":"2023-09-08T11:35:31Z","oa_version":"Preprint","quality_controlled":"1","keyword":["Random Schrödinger operators","spectral shift function","Anderson orthogonality"],"title":"Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function","date_published":"2019-03-01T00:00:00Z","date_created":"2022-03-18T12:36:42Z","volume":9,"article_processing_charge":"No","publication":"Journal of Spectral Theory","main_file_link":[{"url":"https://arxiv.org/abs/1701.02956","open_access":"1"}],"year":"2019","publication_identifier":{"issn":["1664-039X"]},"status":"public","doi":"10.4171/jst/267","abstract":[{"text":"We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H.","lang":"eng"}],"issue":"3","month":"03","isi":1,"day":"01","publication_status":"published","acknowledgement":"M.G. was supported by the DFG under grant GE 2871/1-1.","publisher":"European Mathematical Society Publishing House","article_type":"original","page":"921-965","intvolume":"         9","arxiv":1,"language":[{"iso":"eng"}]},{"month":"09","related_material":{"record":[{"relation":"dissertation_contains","id":"11196","status":"public"}]},"publication_status":"published","acknowledgement":"This work was supported by the ERC and EU Horizon 2020 (ERC 692692; MSC-IF 708497) and FWF Z 312-B27 Wittgenstein award; W 1205-B09).","ec_funded":1,"day":"11","status":"public","publication_identifier":{"issn":["2309-8503"]},"issue":"Suppl. 1","doi":"10.25006/ia.7.s1-a3.27","intvolume":"         7","article_number":"A3.27","language":[{"iso":"eng"}],"publisher":"Austrian Pharmacological Society","type":"conference_abstract","department":[{"_id":"PeJo"}],"date_updated":"2024-03-25T23:30:04Z","oa_version":"Published Version","author":[{"last_name":"Kim","full_name":"Kim, Olena","id":"3F8ABDDA-F248-11E8-B48F-1D18A9856A87","first_name":"Olena"},{"id":"4305C450-F248-11E8-B48F-1D18A9856A87","first_name":"Carolina","full_name":"Borges Merjane, Carolina","orcid":"0000-0003-0005-401X","last_name":"Borges Merjane"},{"last_name":"Jonas","orcid":"0000-0001-5001-4804","id":"353C1B58-F248-11E8-B48F-1D18A9856A87","first_name":"Peter M","full_name":"Jonas, Peter M"}],"oa":1,"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","citation":{"ista":"Kim O, Borges Merjane C, Jonas PM. 2019. Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. Intrinsic Activity. ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological Society vol. 7, A3.27.","apa":"Kim, O., Borges Merjane, C., &#38; Jonas, P. M. (2019). Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In <i>Intrinsic Activity</i> (Vol. 7). Innsbruck, Austria: Austrian Pharmacological Society. <a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">https://doi.org/10.25006/ia.7.s1-a3.27</a>","mla":"Kim, Olena, et al. “Functional Analysis of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.” <i>Intrinsic Activity</i>, vol. 7, no. Suppl. 1, A3.27, Austrian Pharmacological Society, 2019, doi:<a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">10.25006/ia.7.s1-a3.27</a>.","ieee":"O. Kim, C. Borges Merjane, and P. M. Jonas, “Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy,” in <i>Intrinsic Activity</i>, Innsbruck, Austria, 2019, vol. 7, no. Suppl. 1.","short":"O. Kim, C. Borges Merjane, P.M. Jonas, in:, Intrinsic Activity, Austrian Pharmacological Society, 2019.","ama":"Kim O, Borges Merjane C, Jonas PM. Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy. In: <i>Intrinsic Activity</i>. Vol 7. Austrian Pharmacological Society; 2019. doi:<a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">10.25006/ia.7.s1-a3.27</a>","chicago":"Kim, Olena, Carolina Borges Merjane, and Peter M Jonas. “Functional Analysis of the Docked Vesicle Pool in Hippocampal Mossy Fiber Terminals by Electron Microscopy.” In <i>Intrinsic Activity</i>, Vol. 7. Austrian Pharmacological Society, 2019. <a href=\"https://doi.org/10.25006/ia.7.s1-a3.27\">https://doi.org/10.25006/ia.7.s1-a3.27</a>."},"_id":"11222","date_created":"2022-04-20T15:06:05Z","year":"2019","main_file_link":[{"url":"https://www.intrinsicactivity.org/2019/7/S1/A3.27/","open_access":"1"}],"article_processing_charge":"No","volume":7,"publication":"Intrinsic Activity","conference":{"name":"ANA: Austrian Neuroscience Association ; APHAR: Austrian Pharmacological Society","start_date":"2019-09-25","location":"Innsbruck, Austria","end_date":"2019-09-27"},"keyword":["hippocampus","mossy fibers","readily releasable pool","electron microscopy"],"date_published":"2019-09-11T00:00:00Z","title":"Functional analysis of the docked vesicle pool in hippocampal mossy fiber terminals by electron microscopy","project":[{"_id":"25B7EB9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Biophysics and circuit function of a giant cortical glumatergic synapse","grant_number":"692692"},{"grant_number":"708497","name":"Presynaptic calcium channels distribution and impact on coupling at the hippocampal mossy fiber synapse","_id":"25BAF7B2-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"25C3DBB6-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"W01205","name":"Zellkommunikation in Gesundheit und Krankheit"},{"grant_number":"Z00312","name":"The Wittgenstein Prize","_id":"25C5A090-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"quality_controlled":"1"},{"date_published":"2019-03-16T00:00:00Z","title":"Token swapping on trees","date_created":"2020-06-08T12:25:25Z","article_number":"1903.06981","article_processing_charge":"No","arxiv":1,"language":[{"iso":"eng"}],"publication":"arXiv","main_file_link":[{"url":"https://arxiv.org/abs/1903.06981","open_access":"1"}],"year":"2019","_id":"7950","status":"public","abstract":[{"text":"The input to the token swapping problem is a graph with vertices v1, v2, . . . , vn, and n tokens with labels 1,2, . . . , n, one on each vertex.  The goal is to get token i to vertex vi for all i= 1, . . . , n using a minimum number of swaps, where a swap exchanges the tokens on the endpoints of an edge.Token swapping on a tree, also known as “sorting with a transposition tree,” is not known to be in P nor NP-complete.  We present some partial results:\r\n1.  An optimum swap sequence may need to perform a swap on a leaf vertex that has the correct token (a “happy leaf”), disproving a conjecture of Vaughan.\r\n2.  Any algorithm that fixes happy leaves—as all known approximation algorithms for the problem do—has approximation factor at least 4/3.  Furthermore, the two best-known 2-approximation algorithms have approximation factor exactly 2.\r\n3.  A generalized problem—weighted coloured token swapping—is NP-complete on trees, but solvable in polynomial time on paths and stars.  In this version, tokens and  vertices  have  colours,  and  colours  have  weights.   The  goal  is  to  get  every token to a vertex of the same colour, and the cost of a swap is the sum of the weights of the two tokens involved.","lang":"eng"}],"external_id":{"arxiv":["1903.06981"]},"related_material":{"record":[{"status":"public","id":"7944","relation":"dissertation_contains"},{"status":"public","relation":"later_version","id":"12833"}]},"month":"03","type":"preprint","oa":1,"author":[{"last_name":"Biniaz","full_name":"Biniaz, Ahmad","first_name":"Ahmad"},{"full_name":"Jain, Kshitij","first_name":"Kshitij","last_name":"Jain"},{"first_name":"Anna","full_name":"Lubiw, Anna","last_name":"Lubiw"},{"id":"45CFE238-F248-11E8-B48F-1D18A9856A87","first_name":"Zuzana","full_name":"Masárová, Zuzana","orcid":"0000-0002-6660-1322","last_name":"Masárová"},{"full_name":"Miltzow, Tillmann","first_name":"Tillmann","last_name":"Miltzow"},{"last_name":"Mondal","full_name":"Mondal, Debajyoti","first_name":"Debajyoti"},{"full_name":"Naredla, Anurag Murty","first_name":"Anurag Murty","last_name":"Naredla"},{"last_name":"Tkadlec","orcid":"0000-0002-1097-9684","first_name":"Josef","full_name":"Tkadlec, Josef","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Turcotte, Alexi","first_name":"Alexi","last_name":"Turcotte"}],"day":"16","citation":{"ieee":"A. Biniaz <i>et al.</i>, “Token swapping on trees,” <i>arXiv</i>. .","chicago":"Biniaz, Ahmad, Kshitij Jain, Anna Lubiw, Zuzana Masárová, Tillmann Miltzow, Debajyoti Mondal, Anurag Murty Naredla, Josef Tkadlec, and Alexi Turcotte. “Token Swapping on Trees.” <i>ArXiv</i>, n.d.","ama":"Biniaz A, Jain K, Lubiw A, et al. Token swapping on trees. <i>arXiv</i>.","short":"A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).","apa":"Biniaz, A., Jain, K., Lubiw, A., Masárová, Z., Miltzow, T., Mondal, D., … Turcotte, A. (n.d.). Token swapping on trees. <i>arXiv</i>.","mla":"Biniaz, Ahmad, et al. “Token Swapping on Trees.” <i>ArXiv</i>, 1903.06981.","ista":"Biniaz A, Jain K, Lubiw A, Masárová Z, Miltzow T, Mondal D, Naredla AM, Tkadlec J, Turcotte A. Token swapping on trees. arXiv, 1903.06981."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"HeEd"},{"_id":"UlWa"},{"_id":"KrCh"}],"date_updated":"2024-01-04T12:42:08Z","publication_status":"submitted","oa_version":"Preprint"},{"_id":"8","external_id":{"isi":["000455189900006"],"pmid":["30504274"]},"file_date_updated":"2020-10-02T09:33:28Z","scopus_import":"1","type":"journal_article","date_updated":"2023-09-19T10:10:55Z","oa_version":"Published Version","department":[{"_id":"DaSi"}],"file":[{"access_level":"open_access","date_created":"2020-10-02T09:33:28Z","success":1,"file_id":"8596","file_name":"2019_JournNeuroscience_Trebuchet.pdf","file_size":9455414,"content_type":"application/pdf","date_updated":"2020-10-02T09:33:28Z","relation":"main_file","checksum":"8f6925eb4cd1e8747d8ea25929c68de6","creator":"dernst"}],"has_accepted_license":"1","citation":{"chicago":"Trébuchet, Guillaume, Pierre B Cattenoz, János Zsámboki, David Mazaud, Daria E Siekhaus, Manolis Fanto, and Angela Giangrande. “The Repo Homeodomain Transcription Factor Suppresses Hematopoiesis in Drosophila and Preserves the Glial Fate.” <i>Journal of Neuroscience</i>. Society for Neuroscience, 2019. <a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">https://doi.org/10.1523/JNEUROSCI.1059-18.2018</a>.","ama":"Trébuchet G, Cattenoz PB, Zsámboki J, et al. The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. <i>Journal of Neuroscience</i>. 2019;39(2):238-255. doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">10.1523/JNEUROSCI.1059-18.2018</a>","short":"G. Trébuchet, P.B. Cattenoz, J. Zsámboki, D. Mazaud, D.E. Siekhaus, M. Fanto, A. Giangrande, Journal of Neuroscience 39 (2019) 238–255.","ieee":"G. Trébuchet <i>et al.</i>, “The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate,” <i>Journal of Neuroscience</i>, vol. 39, no. 2. Society for Neuroscience, pp. 238–255, 2019.","apa":"Trébuchet, G., Cattenoz, P. B., Zsámboki, J., Mazaud, D., Siekhaus, D. E., Fanto, M., &#38; Giangrande, A. (2019). The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. <i>Journal of Neuroscience</i>. Society for Neuroscience. <a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">https://doi.org/10.1523/JNEUROSCI.1059-18.2018</a>","mla":"Trébuchet, Guillaume, et al. “The Repo Homeodomain Transcription Factor Suppresses Hematopoiesis in Drosophila and Preserves the Glial Fate.” <i>Journal of Neuroscience</i>, vol. 39, no. 2, Society for Neuroscience, 2019, pp. 238–55, doi:<a href=\"https://doi.org/10.1523/JNEUROSCI.1059-18.2018\">10.1523/JNEUROSCI.1059-18.2018</a>.","ista":"Trébuchet G, Cattenoz PB, Zsámboki J, Mazaud D, Siekhaus DE, Fanto M, Giangrande A. 2019. The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate. Journal of Neuroscience. 39(2), 238–255."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"first_name":"Guillaume","full_name":"Trébuchet, Guillaume","last_name":"Trébuchet"},{"last_name":"Cattenoz","first_name":"Pierre B","full_name":"Cattenoz, Pierre B"},{"last_name":"Zsámboki","full_name":"Zsámboki, János","first_name":"János"},{"full_name":"Mazaud, David","first_name":"David","last_name":"Mazaud"},{"last_name":"Siekhaus","orcid":"0000-0001-8323-8353","first_name":"Daria E","full_name":"Siekhaus, Daria E","id":"3D224B9E-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Manolis","full_name":"Fanto, Manolis","last_name":"Fanto"},{"first_name":"Angela","full_name":"Giangrande, Angela","last_name":"Giangrande"}],"oa":1,"project":[{"name":"Investigating the role of transporters in invasive migration through junctions","grant_number":"334077","_id":"2536F660-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"}],"date_published":"2019-01-09T00:00:00Z","title":"The Repo homeodomain transcription factor suppresses hematopoiesis in Drosophila and preserves the glial fate","quality_controlled":"1","ddc":["570"],"date_created":"2018-12-11T11:44:07Z","year":"2019","publication":"Journal of Neuroscience","volume":39,"article_processing_charge":"No","status":"public","pmid":1,"issue":"2","publist_id":"8048","doi":"10.1523/JNEUROSCI.1059-18.2018","abstract":[{"lang":"eng","text":"Despite their different origins, Drosophila glia and hemocytes are related cell populations that provide an immune function. Drosophila hemocytes patrol the body cavity and act as macrophages outside the nervous system whereas glia originate from the neuroepithelium and provide the scavenger population of the nervous system. Drosophila glia are hence the functional orthologs of vertebrate microglia, even though the latter are cells of immune origin that subsequently move into the brain during development. Interestingly, the Drosophila immune cells within (glia) and outside the nervous system (hemocytes) require the same transcription factor Glide/Gcm for their development. This raises the issue of how do glia specifically differentiate in the nervous system and hemocytes in the procephalic mesoderm. The Repo homeodomain transcription factor and pan-glial direct target of Glide/Gcm is known to ensure glial terminal differentiation. Here we show that Repo also takes center stage in the process that discriminates between glia and hemocytes. First, Repo expression is repressed in the hemocyte anlagen by mesoderm-specific factors. Second, Repo ectopic activation in the procephalic mesoderm is sufficient to repress the expression of hemocyte-specific genes. Third, the lack of Repo triggers the expression of hemocyte markers in glia. Thus, a complex network of tissue-specific cues biases the potential of Glide/Gcm. These data allow us to revise the concept of fate determinants and help us understand the bases of cell specification. Both sexes were analyzed.SIGNIFICANCE STATEMENTDistinct cell types often require the same pioneer transcription factor, raising the issue of how does one factor trigger different fates. In Drosophila, glia and hemocytes provide a scavenger activity within and outside the nervous system, respectively. While they both require the Glide/Gcm transcription factor, glia originate from the ectoderm, hemocytes from the mesoderm. Here we show that tissue-specific factors inhibit the gliogenic potential of Glide/Gcm in the mesoderm by repressing the expression of the homeodomain protein Repo, a major glial-specific target of Glide/Gcm. Repo expression in turn inhibits the expression of hemocyte-specific genes in the nervous system. These cell-specific networks secure the establishment of the glial fate only in the nervous system and allow cell diversification."}],"isi":1,"month":"01","publication_status":"published","acknowledgement":"This work was supported by INSERM, CNRS, UDS, Ligue Régionale contre le Cancer, Hôpital de Strasbourg, Association pour la Recherche sur le Cancer (ARC) and Agence Nationale de la Recherche (ANR) grants. P.B.C. was funded by the ANR and by the ARSEP (Fondation pour l'Aide à la Recherche sur la Sclérose en Plaques), and G.T. by governmental and ARC fellowships. This work was also supported by grants from the Ataxia UK (2491) and the NC3R (NC/L000199/1) awarded to M.F. The Institut de Génétique et de Biologie Moléculaire et Cellulaire was also supported by a French state fund through the ANR labex. D.E.S. was funded by Marie Curie Grant CIG 334077/IRTIM. We thank B. Altenhein, K. Brückner, M. Crozatier, L. Waltzer, M. Logan, E. Kurant, R. Reuter, E. Kurucz, J.L Dimarcq, J. Hoffmann, C. Goodman, the DHSB, and the BDSC for reagents and flies. We also thank all of the laboratory members for comments on the manuscript; C. Diebold, C. Delaporte, M. Pezze, the fly, and imaging and antibody facilities for technical assistance; and D. Dembele for help with statistics. In addition, we thank Alison Brewer for help with Luciferase assays.","day":"09","ec_funded":1,"publisher":"Society for Neuroscience","intvolume":"        39","page":"238-255","article_type":"original","language":[{"iso":"eng"}]},{"isi":1,"month":"06","publication_status":"published","day":"01","ec_funded":1,"status":"public","issue":"2","abstract":[{"lang":"eng","text":"We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross–Pitaevskii (GP) limit where the trap frequency ω, the temperature T, and the particle number N are related by N∼ (T/ ω) 3→ ∞ while the scattering length is so small that the interaction energy per particle around the center of the trap is of the same order of magnitude as the spectral gap in the trap. We prove that the difference between the canonical free energy of the interacting gas and the one of the noninteracting system can be obtained by minimizing the GP energy functional. We also prove Bose–Einstein condensation in the following sense: The one-particle density matrix of any approximate minimizer of the canonical free energy functional is to leading order given by that of the noninteracting gas but with the free condensate wavefunction replaced by the GP minimizer."}],"doi":"10.1007/s00220-018-3239-0","publist_id":"7974","intvolume":"       368","article_type":"original","page":"723-776","language":[{"iso":"eng"}],"publisher":"Springer","type":"journal_article","oa_version":"Published Version","date_updated":"2023-08-24T14:27:51Z","file":[{"file_name":"2018_CommunMathPhys_Deuchert.pdf","file_size":893902,"content_type":"application/pdf","date_updated":"2020-07-14T12:48:07Z","access_level":"open_access","date_created":"2018-12-17T10:34:06Z","file_id":"5688","relation":"main_file","checksum":"c7e9880b43ac726712c1365e9f2f73a6","creator":"dernst"}],"department":[{"_id":"RoSe"}],"has_accepted_license":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ieee":"A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” <i>Communications in Mathematical Physics</i>, vol. 368, no. 2. Springer, pp. 723–776, 2019.","ama":"Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. 2019;368(2):723-776. doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>","short":"A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.","chicago":"Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>.","ista":"Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.","apa":"Deuchert, A., Seiringer, R., &#38; Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-018-3239-0\">https://doi.org/10.1007/s00220-018-3239-0</a>","mla":"Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” <i>Communications in Mathematical Physics</i>, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:<a href=\"https://doi.org/10.1007/s00220-018-3239-0\">10.1007/s00220-018-3239-0</a>."},"oa":1,"author":[{"first_name":"Andreas","full_name":"Deuchert, Andreas","id":"4DA65CD0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3146-6746","last_name":"Deuchert"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"_id":"80","external_id":{"isi":["000467796800007"]},"file_date_updated":"2020-07-14T12:48:07Z","scopus_import":"1","ddc":["530"],"date_created":"2018-12-11T11:44:31Z","year":"2019","publication":"Communications in Mathematical Physics","article_processing_charge":"Yes (via OA deal)","volume":368,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"project":[{"name":"Analysis of quantum many-body systems","grant_number":"694227","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"grant_number":"P27533_N27","name":"Structure of the Excitation Spectrum for Many-Body Quantum Systems","_id":"25C878CE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"date_published":"2019-06-01T00:00:00Z","title":"Bose–Einstein condensation in a dilute, trapped gas at positive temperature","quality_controlled":"1"},{"date_created":"2020-07-26T22:01:04Z","article_processing_charge":"No","publication":"Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1902.08750"}],"year":"2019","conference":{"name":"FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics","location":"Ljubljana, Slovenia","start_date":"2019-07-01","end_date":"2019-07-05"},"quality_controlled":"1","title":"New edge asymptotics of skew Young diagrams via free boundaries","date_published":"2019-07-01T00:00:00Z","project":[{"grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425"}],"type":"conference","author":[{"first_name":"Dan","full_name":"Betea, Dan","last_name":"Betea"},{"last_name":"Bouttier","first_name":"Jérémie","full_name":"Bouttier, Jérémie"},{"first_name":"Peter","id":"4BF426E2-F248-11E8-B48F-1D18A9856A87","full_name":"Nejjar, Peter","last_name":"Nejjar"},{"first_name":"Mirjana","full_name":"Vuletíc, Mirjana","last_name":"Vuletíc"}],"oa":1,"citation":{"ista":"Betea D, Bouttier J, Nejjar P, Vuletíc M. 2019. New edge asymptotics of skew Young diagrams via free boundaries. Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics. FPSAC: International Conference on Formal Power Series and Algebraic Combinatorics, 34.","mla":"Betea, Dan, et al. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>, 34, Formal Power Series and Algebraic Combinatorics, 2019.","apa":"Betea, D., Bouttier, J., Nejjar, P., &#38; Vuletíc, M. (2019). New edge asymptotics of skew Young diagrams via free boundaries. In <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Ljubljana, Slovenia: Formal Power Series and Algebraic Combinatorics.","short":"D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019.","ama":"Betea D, Bouttier J, Nejjar P, Vuletíc M. New edge asymptotics of skew Young diagrams via free boundaries. In: <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Formal Power Series and Algebraic Combinatorics; 2019.","chicago":"Betea, Dan, Jérémie Bouttier, Peter Nejjar, and Mirjana Vuletíc. “New Edge Asymptotics of Skew Young Diagrams via Free Boundaries.” In <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>. Formal Power Series and Algebraic Combinatorics, 2019.","ieee":"D. Betea, J. Bouttier, P. Nejjar, and M. Vuletíc, “New edge asymptotics of skew Young diagrams via free boundaries,” in <i>Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics</i>, Ljubljana, Slovenia, 2019."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"LaEr"}],"oa_version":"Preprint","date_updated":"2021-01-12T08:17:18Z","_id":"8175","scopus_import":"1","external_id":{"arxiv":["1902.08750"]},"article_number":"34","language":[{"iso":"eng"}],"arxiv":1,"publisher":"Formal Power Series and Algebraic Combinatorics","month":"07","ec_funded":1,"day":"01","acknowledgement":"D.B. is especially grateful to Patrik Ferrari for suggesting simplifications in Section 3 and\r\nto Alessandra Occelli for suggesting the name for the models of Section 2.\r\n","publication_status":"published","status":"public","abstract":[{"lang":"eng","text":"We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's problem on longest increasing subsequences of random permutations and the last passage percolation (corner growth) discrete versions thereof. Moreover they interpolate between said measures and the uniform measure on partitions. In the new KPZ-like 1/3 exponent edge scaling limit with logarithmic corrections, we find new probability distributions generalizing the classical Tracy--Widom GUE, GOE and GSE distributions from the theory of random matrices."}]},{"article_number":"1910.12628","date_created":"2020-07-30T10:45:08Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.12628"}],"year":"2019","publication":"arXiv","article_processing_charge":"No","language":[{"iso":"eng"}],"arxiv":1,"publisher":"arXiv","project":[{"call_identifier":"FWF","_id":"26611F5C-B435-11E9-9278-68D0E5697425","grant_number":"P31312","name":"Algorithms for Embeddings and Homotopy Theory"}],"date_published":"2019-10-28T00:00:00Z","title":"Vanishing of all equivariant obstructions and the mapping degree","type":"preprint","related_material":{"record":[{"status":"public","id":"11446","relation":"later_version"},{"id":"8156","relation":"dissertation_contains","status":"public"}]},"month":"10","publication_status":"submitted","date_updated":"2023-09-07T13:12:17Z","oa_version":"Preprint","department":[{"_id":"UlWa"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"28","citation":{"ieee":"S. Avvakumov and S. Kudrya, “Vanishing of all equivariant obstructions and the mapping degree,” <i>arXiv</i>. arXiv.","short":"S. Avvakumov, S. Kudrya, ArXiv (n.d.).","ama":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. <i>arXiv</i>.","chicago":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” <i>ArXiv</i>. arXiv, n.d.","ista":"Avvakumov S, Kudrya S. Vanishing of all equivariant obstructions and the mapping degree. arXiv, 1910.12628.","apa":"Avvakumov, S., &#38; Kudrya, S. (n.d.). Vanishing of all equivariant obstructions and the mapping degree. <i>arXiv</i>. arXiv.","mla":"Avvakumov, Sergey, and Sergey Kudrya. “Vanishing of All Equivariant Obstructions and the Mapping Degree.” <i>ArXiv</i>, 1910.12628, arXiv."},"author":[{"full_name":"Avvakumov, Sergey","first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","last_name":"Avvakumov"},{"last_name":"Kudrya","first_name":"Sergey","full_name":"Kudrya, Sergey","id":"ecf01965-d252-11ea-95a5-8ada5f6c6a67"}],"oa":1,"status":"public","_id":"8182","external_id":{"arxiv":["1910.12628"]},"abstract":[{"lang":"eng","text":"Suppose that $n\\neq p^k$ and $n\\neq 2p^k$ for all $k$ and all primes $p$. We prove that for any Hausdorff compactum $X$ with a free action of the symmetric group $\\mathfrak S_n$ there exists an $\\mathfrak S_n$-equivariant map $X \\to\r\n{\\mathbb R}^n$ whose image avoids the diagonal $\\{(x,x\\dots,x)\\in {\\mathbb R}^n|x\\in {\\mathbb R}\\}$.\r\n  Previously, the special cases of this statement for certain $X$ were usually proved using the equivartiant obstruction theory. Such calculations are difficult and may become infeasible past the first (primary) obstruction. We\r\ntake a different approach which allows us to prove the vanishing of all obstructions simultaneously. The essential step in the proof is classifying the possible degrees of $\\mathfrak S_n$-equivariant maps from the boundary\r\n$\\partial\\Delta^{n-1}$ of $(n-1)$-simplex to itself.  Existence of equivariant maps between spaces is important for many questions arising from discrete mathematics and geometry, such as Kneser's conjecture, the Square Peg conjecture, the Splitting Necklace problem, and the Topological Tverberg conjecture, etc. We demonstrate the utility of our result  applying it to one such question, a specific instance of envy-free division problem."}]},{"project":[{"name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312","_id":"26611F5C-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"date_published":"2019-08-23T00:00:00Z","title":"Stronger counterexamples to the topological Tverberg conjecture","publisher":"arXiv","year":"2019","main_file_link":[{"url":"https://arxiv.org/abs/1908.08731","open_access":"1"}],"publication":"arXiv","arxiv":1,"language":[{"iso":"eng"}],"article_processing_charge":"No","article_number":"1908.08731","date_created":"2020-07-30T10:45:34Z","external_id":{"isi":["000986519600004"],"arxiv":["1908.08731"]},"abstract":[{"lang":"eng","text":"Denote by ∆N the N-dimensional simplex. A map f : ∆N → Rd is an almost r-embedding if fσ1∩. . .∩fσr = ∅ whenever σ1, . . . , σr are pairwise disjoint faces. A counterexample to the topological Tverberg conjecture asserts that if r is not a prime power and d ≥ 2r + 1, then there is an almost r-embedding ∆(d+1)(r−1) → Rd. This was improved by Blagojevi´c–Frick–Ziegler using a simple construction of higher-dimensional counterexamples by taking k-fold join power of lower-dimensional ones. We improve this further (for d large compared to r): If r is not a prime power and N := (d+ 1)r−r l\r\nd + 2 r + 1 m−2, then there is an almost r-embedding ∆N → Rd. For the r-fold van Kampen–Flores conjecture we also produce counterexamples which are stronger than previously known. Our proof is based on generalizations of the Mabillard–Wagner theorem on construction of almost r-embeddings from equivariant maps, and of the Ozaydin theorem on existence of equivariant maps. "}],"status":"public","_id":"8184","acknowledgement":"We would like to thank F. Frick for helpful discussions","date_updated":"2023-09-08T11:20:02Z","oa_version":"Preprint","publication_status":"submitted","department":[{"_id":"UlWa"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ieee":"S. Avvakumov, R. Karasev, and A. Skopenkov, “Stronger counterexamples to the topological Tverberg conjecture,” <i>arXiv</i>. arXiv.","ama":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. <i>arXiv</i>.","short":"S. Avvakumov, R. Karasev, A. Skopenkov, ArXiv (n.d.).","chicago":"Avvakumov, Sergey, R. Karasev, and A. Skopenkov. “Stronger Counterexamples to the Topological Tverberg Conjecture.” <i>ArXiv</i>. arXiv, n.d.","ista":"Avvakumov S, Karasev R, Skopenkov A. Stronger counterexamples to the topological Tverberg conjecture. arXiv, 1908.08731.","mla":"Avvakumov, Sergey, et al. “Stronger Counterexamples to the Topological Tverberg Conjecture.” <i>ArXiv</i>, 1908.08731, arXiv.","apa":"Avvakumov, S., Karasev, R., &#38; Skopenkov, A. (n.d.). Stronger counterexamples to the topological Tverberg conjecture. <i>arXiv</i>. arXiv."},"day":"23","author":[{"id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","first_name":"Sergey","full_name":"Avvakumov, Sergey","last_name":"Avvakumov"},{"first_name":"R.","full_name":"Karasev, R.","last_name":"Karasev"},{"last_name":"Skopenkov","first_name":"A.","full_name":"Skopenkov, A."}],"oa":1,"isi":1,"type":"preprint","related_material":{"record":[{"id":"8156","relation":"dissertation_contains","status":"public"}]},"month":"08"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"25","citation":{"ista":"Avvakumov S, Karasev R. Envy-free division using mapping degree. arXiv, 1907.11183.","apa":"Avvakumov, S., &#38; Karasev, R. (n.d.). Envy-free division using mapping degree. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.1907.11183\">https://doi.org/10.48550/arXiv.1907.11183</a>","mla":"Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.” <i>ArXiv</i>, 1907.11183, doi:<a href=\"https://doi.org/10.48550/arXiv.1907.11183\">10.48550/arXiv.1907.11183</a>.","ieee":"S. Avvakumov and R. Karasev, “Envy-free division using mapping degree,” <i>arXiv</i>. .","ama":"Avvakumov S, Karasev R. Envy-free division using mapping degree. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.1907.11183\">10.48550/arXiv.1907.11183</a>","short":"S. Avvakumov, R. Karasev, ArXiv (n.d.).","chicago":"Avvakumov, Sergey, and Roman Karasev. “Envy-Free Division Using Mapping Degree.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.1907.11183\">https://doi.org/10.48550/arXiv.1907.11183</a>."},"author":[{"last_name":"Avvakumov","full_name":"Avvakumov, Sergey","first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Karasev, Roman","first_name":"Roman","last_name":"Karasev"}],"oa":1,"oa_version":"Preprint","publication_status":"submitted","date_updated":"2023-09-07T13:12:17Z","department":[{"_id":"UlWa"}],"type":"preprint","related_material":{"record":[{"id":"8156","relation":"dissertation_contains","status":"public"}],"link":[{"url":"https://doi.org/10.1112/mtk.12059","relation":"later_version"}]},"month":"07","abstract":[{"lang":"eng","text":"In this paper we study envy-free division problems. The classical approach to some of such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and finding sufficient conditions when this map hits the center of the simplex. The mere continuity is not sufficient for such a conclusion, the usual assumption (for example, in the Knaster--Kuratowski--Mazurkiewicz and the Gale theorem) is a certain boundary condition.\r\n  We follow Erel Segal-Halevi, Fr\\'ed\\'eric Meunier, and Shira Zerbib, and replace the boundary condition by another assumption, which has the economic meaning of possibility for a player to prefer an empty part in the segment\r\npartition problem. We solve the problem positively when $n$, the number of players that divide the segment, is a prime power, and we provide counterexamples for every $n$ which is not a prime power. We also provide counterexamples relevant to a wider class of fair or envy-free partition problems when $n$ is odd and not a prime power."}],"doi":"10.48550/arXiv.1907.11183","external_id":{"arxiv":["1907.11183"]},"status":"public","_id":"8185","publication":"arXiv","article_processing_charge":"No","arxiv":1,"language":[{"iso":"eng"}],"year":"2019","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1907.11183"}],"article_number":"1907.11183","date_created":"2020-07-30T10:45:51Z","project":[{"_id":"26611F5C-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312"}],"title":"Envy-free division using mapping degree","date_published":"2019-07-25T00:00:00Z"},{"doi":"10.1002/9781119487845.ch4","abstract":[{"text":"We review the history of population genetics, starting with its origins a century ago from the synthesis between Mendel and Darwin's ideas, through to the recent development of sophisticated schemes of inference from sequence data, based on the coalescent. We explain the close relation between the coalescent and a diffusion process, which we illustrate by their application to understand spatial structure. We summarise the powerful methods available for analysis of multiple loci, when linkage equilibrium can be assumed, and then discuss approaches to the more challenging case, where associations between alleles require that we follow genotype, rather than allele, frequencies. Though we can hardly cover the whole of population genetics, we give an overview of the current state of the subject, and future challenges to it.","lang":"eng"}],"publication_identifier":{"isbn":["9781119429142"]},"status":"public","day":"29","publication_status":"published","month":"07","isi":1,"publisher":"Wiley","language":[{"iso":"eng"}],"page":"115-144","external_id":{"isi":["000261343000003"]},"editor":[{"last_name":"Balding","full_name":"Balding, David","first_name":"David"},{"full_name":"Moltke, Ida","first_name":"Ida","last_name":"Moltke"},{"last_name":"Marioni","full_name":"Marioni, John","first_name":"John"}],"_id":"8281","author":[{"last_name":"Barton","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","full_name":"Barton, Nicholas H","orcid":"0000-0002-8548-5240"},{"first_name":"Alison","full_name":"Etheridge, Alison","last_name":"Etheridge"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"apa":"Barton, N. H., &#38; Etheridge, A. (2019). Mathematical models in population genetics. In D. Balding, I. Moltke, &#38; J. Marioni (Eds.), <i>Handbook of statistical genomics</i> (4th ed., pp. 115–144). Wiley. <a href=\"https://doi.org/10.1002/9781119487845.ch4\">https://doi.org/10.1002/9781119487845.ch4</a>","mla":"Barton, Nicholas H., and Alison Etheridge. “Mathematical Models in Population Genetics.” <i>Handbook of Statistical Genomics</i>, edited by David Balding et al., 4th ed., Wiley, 2019, pp. 115–44, doi:<a href=\"https://doi.org/10.1002/9781119487845.ch4\">10.1002/9781119487845.ch4</a>.","ista":"Barton NH, Etheridge A. 2019.Mathematical models in population genetics. In: Handbook of statistical genomics. , 115–144.","ieee":"N. H. Barton and A. Etheridge, “Mathematical models in population genetics,” in <i>Handbook of statistical genomics</i>, 4th ed., D. Balding, I. Moltke, and J. Marioni, Eds. Wiley, 2019, pp. 115–144.","chicago":"Barton, Nicholas H, and Alison Etheridge. “Mathematical Models in Population Genetics.” In <i>Handbook of Statistical Genomics</i>, edited by David Balding, Ida Moltke, and John Marioni, 4th ed., 115–44. Wiley, 2019. <a href=\"https://doi.org/10.1002/9781119487845.ch4\">https://doi.org/10.1002/9781119487845.ch4</a>.","short":"N.H. Barton, A. Etheridge, in:, D. Balding, I. Moltke, J. Marioni (Eds.), Handbook of Statistical Genomics, 4th ed., Wiley, 2019, pp. 115–144.","ama":"Barton NH, Etheridge A. Mathematical models in population genetics. In: Balding D, Moltke I, Marioni J, eds. <i>Handbook of Statistical Genomics</i>. 4th ed. Wiley; 2019:115-144. doi:<a href=\"https://doi.org/10.1002/9781119487845.ch4\">10.1002/9781119487845.ch4</a>"},"department":[{"_id":"NiBa"}],"oa_version":"None","date_updated":"2023-09-08T11:24:15Z","type":"book_chapter","quality_controlled":"1","title":"Mathematical models in population genetics","date_published":"2019-07-29T00:00:00Z","edition":"4","article_processing_charge":"No","publication":"Handbook of statistical genomics","year":"2019","date_created":"2020-08-21T04:25:39Z","ddc":["576"]}]