[{"volume":11,"acknowledgement":"Kwan was supported for part of this work by ERC Starting Grant ‘RANDSTRUCT’ No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship Program DGE-2141064. Sah was supported by the PD Soros Fellowship. Sauermann was supported by NSF Award DMS-2100157, and for part of this work by a Sloan Research Fellowship.","ddc":["510"],"arxiv":1,"doi":"10.1017/fmp.2023.17","day":"24","abstract":[{"lang":"eng","text":"An n-vertex graph is called C-Ramsey if it has no clique or independent set of size Clog2n (i.e., if it has near-optimal Ramsey behavior). In this paper, we study edge statistics in Ramsey graphs, in particular obtaining very precise control of the distribution of the number of edges in a random vertex subset of a C-Ramsey graph. This brings together two ongoing lines of research: the study of ‘random-like’ properties of Ramsey graphs and the study of small-ball probability for low-degree polynomials of independent random variables.\r\n\r\nThe proof proceeds via an ‘additive structure’ dichotomy on the degree sequence and involves a wide range of different tools from Fourier analysis, random matrix theory, the theory of Boolean functions, probabilistic combinatorics and low-rank approximation. In particular, a key ingredient is a new sharpened version of the quadratic Carbery–Wright theorem on small-ball probability for polynomials of Gaussians, which we believe is of independent interest. One of the consequences of our result is the resolution of an old conjecture of Erdős and McKay, for which Erdős reiterated in several of his open problem collections and for which he offered one of his notorious monetary prizes."}],"date_updated":"2023-11-07T09:18:57Z","citation":{"ama":"Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. <i>Forum of Mathematics, Pi</i>. 2023;11. doi:<a href=\"https://doi.org/10.1017/fmp.2023.17\">10.1017/fmp.2023.17</a>","apa":"Kwan, M. A., Sah, A., Sauermann, L., &#38; Sawhney, M. (2023). Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. <i>Forum of Mathematics, Pi</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fmp.2023.17\">https://doi.org/10.1017/fmp.2023.17</a>","ieee":"M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture,” <i>Forum of Mathematics, Pi</i>, vol. 11. Cambridge University Press, 2023.","chicago":"Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” <i>Forum of Mathematics, Pi</i>. Cambridge University Press, 2023. <a href=\"https://doi.org/10.1017/fmp.2023.17\">https://doi.org/10.1017/fmp.2023.17</a>.","mla":"Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” <i>Forum of Mathematics, Pi</i>, vol. 11, e21, Cambridge University Press, 2023, doi:<a href=\"https://doi.org/10.1017/fmp.2023.17\">10.1017/fmp.2023.17</a>.","short":"M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11 (2023).","ista":"Kwan MA, Sah A, Sauermann L, Sawhney M. 2023. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 11, e21."},"year":"2023","external_id":{"arxiv":["2208.02874"]},"publisher":"Cambridge University Press","article_type":"original","quality_controlled":"1","file_date_updated":"2023-11-07T09:16:23Z","publication_status":"published","date_created":"2023-11-07T09:02:48Z","department":[{"_id":"MaKw"}],"article_processing_charge":"Yes","title":"Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture","intvolume":"        11","_id":"14499","scopus_import":"1","author":[{"full_name":"Kwan, Matthew Alan","orcid":"0000-0002-4003-7567","last_name":"Kwan","first_name":"Matthew Alan","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3"},{"full_name":"Sah, Ashwin","last_name":"Sah","first_name":"Ashwin"},{"full_name":"Sauermann, Lisa","first_name":"Lisa","last_name":"Sauermann"},{"first_name":"Mehtaab","last_name":"Sawhney","full_name":"Sawhney, Mehtaab"}],"file":[{"creator":"dernst","file_id":"14500","relation":"main_file","access_level":"open_access","success":1,"content_type":"application/pdf","file_name":"2023_ForumMathematics_Kwan.pdf","date_updated":"2023-11-07T09:16:23Z","checksum":"54b824098d59073cc87a308d458b0a3e","file_size":1218719,"date_created":"2023-11-07T09:16:23Z"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","publication_identifier":{"issn":["2050-5086"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_published":"2023-08-24T00:00:00Z","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Analysis"],"oa_version":"Published Version","project":[{"name":"Randomness and structure in combinatorics","grant_number":"101076777","_id":"bd95085b-d553-11ed-ba76-e55d3349be45"}],"month":"08","article_number":"e21","publication":"Forum of Mathematics, Pi","has_accepted_license":"1"},{"ddc":["510"],"volume":285,"acknowledgement":"We would like to thank Tim Binz, Emiel Lorist and Mark Veraar for valuable discussions. We also thank the anonymous referees for their helpful comments and suggestions, and for the very accurate reading of the manuscript.\r\nThe first author has been supported partially by the Nachwuchsring – Network for the promotion of young scientists – at TU Kaiserslautern. Both authors have been supported by MathApp – Mathematics Applied to Real-World Problems - part of the Research Initiative of the Federal State of Rhineland-Palatinate, Germany.","abstract":[{"text":"Many coupled evolution equations can be described via 2×2-block operator matrices of the form A=[ \r\nA\tB\r\nC\tD\r\n ] in a product space X=X1×X2 with possibly unbounded entries. Here, the case of diagonally dominant block operator matrices is considered, that is, the case where the full operator A can be seen as a relatively bounded perturbation of its diagonal part with D(A)=D(A)×D(D) though with possibly large relative bound. For such operators the properties of sectoriality, R-sectoriality and the boundedness of the H∞-calculus are studied, and for these properties perturbation results for possibly large but structured perturbations are derived. Thereby, the time dependent parabolic problem associated with A can be analyzed in maximal Lpt\r\n-regularity spaces, and this is applied to a wide range of problems such as different theories for liquid crystals, an artificial Stokes system, strongly damped wave and plate equations, and a Keller-Segel model.","lang":"eng"}],"day":"01","arxiv":1,"doi":"10.1016/j.jfa.2023.110146","external_id":{"isi":["001081809000001"],"arxiv":["2108.01962"]},"isi":1,"citation":{"chicago":"Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus for Block Operator Matrices and Applications.” <i>Journal of Functional Analysis</i>. Elsevier, 2023. <a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">https://doi.org/10.1016/j.jfa.2023.110146</a>.","ieee":"A. Agresti and A. Hussein, “Maximal Lp-regularity and H∞-calculus for block operator matrices and applications,” <i>Journal of Functional Analysis</i>, vol. 285, no. 11. Elsevier, 2023.","ama":"Agresti A, Hussein A. Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. <i>Journal of Functional Analysis</i>. 2023;285(11). doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">10.1016/j.jfa.2023.110146</a>","apa":"Agresti, A., &#38; Hussein, A. (2023). Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">https://doi.org/10.1016/j.jfa.2023.110146</a>","ista":"Agresti A, Hussein A. 2023. Maximal Lp-regularity and H∞-calculus for block operator matrices and applications. Journal of Functional Analysis. 285(11), 110146.","mla":"Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and H∞-Calculus for Block Operator Matrices and Applications.” <i>Journal of Functional Analysis</i>, vol. 285, no. 11, 110146, Elsevier, 2023, doi:<a href=\"https://doi.org/10.1016/j.jfa.2023.110146\">10.1016/j.jfa.2023.110146</a>.","short":"A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023)."},"year":"2023","date_updated":"2024-01-10T11:24:56Z","article_type":"original","publisher":"Elsevier","file_date_updated":"2024-01-10T11:23:57Z","quality_controlled":"1","intvolume":"       285","title":"Maximal Lp-regularity and H∞-calculus for block operator matrices and applications","department":[{"_id":"JuFi"}],"date_created":"2024-01-10T09:15:18Z","article_processing_charge":"Yes (in subscription journal)","publication_status":"published","issue":"11","author":[{"id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti","first_name":"Antonio","full_name":"Agresti, Antonio","orcid":"0000-0002-9573-2962"},{"first_name":"Amru","last_name":"Hussein","full_name":"Hussein, Amru"}],"scopus_import":"1","_id":"14772","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"date_created":"2024-01-10T11:23:57Z","file_size":1120592,"checksum":"eda98ca2aa73da91bd074baed34c2b3c","date_updated":"2024-01-10T11:23:57Z","file_name":"2023_JourFunctionalAnalysis_Agresti.pdf","content_type":"application/pdf","relation":"main_file","success":1,"access_level":"open_access","file_id":"14789","creator":"dernst"}],"oa":1,"publication_identifier":{"issn":["0022-1236"]},"type":"journal_article","date_published":"2023-12-01T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"keyword":["Analysis"],"language":[{"iso":"eng"}],"article_number":"110146","month":"12","oa_version":"Published Version","has_accepted_license":"1","publication":"Journal of Functional Analysis"},{"keyword":["Analysis"],"language":[{"iso":"eng"}],"has_accepted_license":"1","publication":"Journal of Functional Analysis","article_number":"109455","month":"06","project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"oa_version":"Published Version","status":"public","related_material":{"record":[{"relation":"dissertation_contains","id":"14374","status":"public"}]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"date_created":"2022-08-02T10:37:55Z","checksum":"63efcefaa1f2717244ef5407bd564426","file_size":631391,"date_updated":"2022-08-02T10:37:55Z","content_type":"application/pdf","file_name":"2022_JourFunctionalAnalysis_Roos.pdf","access_level":"open_access","relation":"main_file","success":1,"file_id":"11720","creator":"dernst"}],"type":"journal_article","date_published":"2022-06-15T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0022-1236"]},"file_date_updated":"2022-08-02T10:37:55Z","quality_controlled":"1","ec_funded":1,"article_type":"original","publisher":"Elsevier","issue":"12","author":[{"orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara","first_name":"Barbara","last_name":"Roos","id":"5DA90512-D80F-11E9-8994-2E2EE6697425"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"scopus_import":"1","_id":"10850","intvolume":"       282","title":"Two-particle bound states at interfaces and corners","date_created":"2022-03-16T08:41:53Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"article_processing_charge":"Yes (via OA deal)","publication_status":"published","ddc":["510"],"volume":282,"acknowledgement":"We thank Rupert Frank for contributing Appendix B. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 is gratefully acknowledged.","external_id":{"arxiv":["2105.04874"],"isi":["000795160200009"]},"isi":1,"citation":{"ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>, vol. 282, no. 12, 109455, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>.","chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>.","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” <i>Journal of Functional Analysis</i>, vol. 282, no. 12. Elsevier, 2022.","apa":"Roos, B., &#38; Seiringer, R. (2022). Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>","ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. 2022;282(12). doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>"},"year":"2022","date_updated":"2023-10-27T10:37:29Z","abstract":[{"lang":"eng","text":"We study two interacting quantum particles forming a bound state in d-dimensional free\r\nspace, and constrain the particles in k directions to (0, ∞)k ×Rd−k, with Neumann boundary\r\nconditions. First, we prove that the ground state energy strictly decreases upon going from k\r\nto k+1. This shows that the particles stick to the corner where all boundary planes intersect.\r\nSecond, we show that for all k the resulting Hamiltonian, after removing the free part of the\r\nkinetic energy, has only finitely many eigenvalues below the essential spectrum. This paper\r\ngeneralizes the work of Egger, Kerner and Pankrashkin (J. Spectr. Theory 10(4):1413–1444,\r\n2020) to dimensions d > 1."}],"day":"15","doi":"10.1016/j.jfa.2022.109455","arxiv":1},{"arxiv":1,"doi":"10.1016/j.jcp.2022.111439","day":"15","abstract":[{"lang":"eng","text":"We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation kinetics and extend them for aggregation processes with collisional fragmentation (shattering). We test the performance and accuracy of the extended methods and compare their performance with efficient deterministic finite-difference method applied to the same model. We validate the stochastic methods on the test problems and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation kinetics recently detected in deterministic simulations. We confirm the emergence of steady oscillations of densities in such systems and prove the stability of the\r\noscillations with respect to fluctuations and noise."}],"date_updated":"2023-08-03T11:55:06Z","year":"2022","citation":{"ista":"Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal of Computational Physics. 467, 111439.","mla":"Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” <i>Journal of Computational Physics</i>, vol. 467, 111439, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">10.1016/j.jcp.2022.111439</a>.","short":"A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal of Computational Physics 467 (2022).","ieee":"A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov, “Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,” <i>Journal of Computational Physics</i>, vol. 467. Elsevier, 2022.","chicago":"Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov. “Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.” <i>Journal of Computational Physics</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">https://doi.org/10.1016/j.jcp.2022.111439</a>.","apa":"Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., &#38; Brilliantov, N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. <i>Journal of Computational Physics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">https://doi.org/10.1016/j.jcp.2022.111439</a>","ama":"Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics. <i>Journal of Computational Physics</i>. 2022;467. doi:<a href=\"https://doi.org/10.1016/j.jcp.2022.111439\">10.1016/j.jcp.2022.111439</a>"},"isi":1,"external_id":{"arxiv":["2103.09481"],"isi":["000917225500013"]},"volume":467,"acknowledgement":"Zhores supercomputer of Skolkovo Institute of Science and Technology [68] has been used in the present research. S.A.M. was supported by Moscow Center for Fundamental and Applied Mathematics (the agreement with the Ministry of Education and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021).","ddc":["518"],"publication_status":"published","article_processing_charge":"No","date_created":"2022-07-11T12:19:59Z","department":[{"_id":"GradSch"},{"_id":"ChWo"}],"title":"Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics","intvolume":"       467","_id":"11556","author":[{"last_name":"Kalinov","first_name":"Aleksei","full_name":"Kalinov, Aleksei","orcid":"0000-0003-2189-3904","id":"44b7120e-eb97-11eb-a6c2-e1557aa81d02"},{"last_name":"Osinskiy","first_name":"A.I.","full_name":"Osinskiy, A.I."},{"full_name":"Matveev, S.A.","last_name":"Matveev","first_name":"S.A."},{"last_name":"Otieno","first_name":"W.","full_name":"Otieno, W."},{"last_name":"Brilliantov","first_name":"N.V.","full_name":"Brilliantov, N.V."}],"publisher":"Elsevier","article_type":"original","quality_controlled":"1","publication_identifier":{"issn":["0021-9991"]},"oa":1,"date_published":"2022-10-15T00:00:00Z","type":"journal_article","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2103.09481","open_access":"1"}],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa_version":"Preprint","month":"10","article_number":"111439","publication":"Journal of Computational Physics","language":[{"iso":"eng"}],"keyword":["Computer Science Applications","Physics and Astronomy (miscellaneous)","Applied Mathematics","Computational Mathematics","Modeling and Simulation","Numerical Analysis"]},{"article_type":"original","publisher":"Cambridge University Press","file_date_updated":"2022-01-19T09:27:43Z","ec_funded":1,"quality_controlled":"1","intvolume":"        10","title":"Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"article_processing_charge":"Yes","date_created":"2022-01-18T16:18:51Z","publication_status":"published","author":[{"orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"},{"last_name":"Teufel","first_name":"Stefan","full_name":"Teufel, Stefan"}],"_id":"10643","ddc":["510"],"acknowledgement":"J.H. acknowledges partial financial support by the ERC Advanced Grant ‘RMTBeyond’ No. 101020331. Support for publication costs from the Deutsche Forschungsgemeinschaft and the Open Access Publishing Fund of the University of Tübingen is gratefully acknowledged.","volume":10,"abstract":[{"text":"We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a unique ground state and that the corresponding Gelfand–Naimark–Segal Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that a similar adiabatic theorem also holds in the bulk of finite systems up to errors that vanish faster than any inverse power of the system size, although the corresponding finite-volume Hamiltonians need not have a spectral gap.\r\n\r\n","lang":"eng"}],"day":"18","doi":"10.1017/fms.2021.80","arxiv":1,"external_id":{"arxiv":["2012.15239"],"isi":["000743615000001"]},"isi":1,"citation":{"ista":"Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. 10, e4.","mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>, vol. 10, e4, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>.","short":"S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk,” <i>Forum of Mathematics, Sigma</i>, vol. 10. Cambridge University Press, 2022.","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>.","ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. 2022;10. doi:<a href=\"https://doi.org/10.1017/fms.2021.80\">10.1017/fms.2021.80</a>","apa":"Henheik, S. J., &#38; Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2021.80\">https://doi.org/10.1017/fms.2021.80</a>"},"year":"2022","date_updated":"2023-08-02T13:53:11Z","keyword":["computational mathematics","discrete mathematics and combinatorics","geometry and topology","mathematical physics","statistics and probability","algebra and number theory","theoretical computer science","analysis"],"language":[{"iso":"eng"}],"article_number":"e4","month":"01","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"oa_version":"Published Version","has_accepted_license":"1","publication":"Forum of Mathematics, Sigma","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"creator":"cchlebak","file_id":"10646","relation":"main_file","success":1,"access_level":"open_access","file_name":"2022_ForumMathSigma_Henheik.pdf","content_type":"application/pdf","date_updated":"2022-01-19T09:27:43Z","checksum":"87592a755adcef22ea590a99dc728dd3","file_size":705323,"date_created":"2022-01-19T09:27:43Z"}],"oa":1,"publication_identifier":{"eissn":["2050-5094"]},"type":"journal_article","date_published":"2022-01-18T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}},{"doi":"10.1007/s43036-022-00199-w","day":"01","abstract":[{"lang":"eng","text":"A domain is called Kac regular for a quadratic form on L2 if every functions vanishing almost everywhere outside the domain can be approximated in form norm by functions with compact support in the domain. It is shown that this notion is stable under domination of quadratic forms. As applications measure perturbations of quasi-regular Dirichlet forms, Cheeger energies on metric measure spaces and Schrödinger operators on manifolds are studied. Along the way a characterization of the Sobolev space with Dirichlet boundary conditions on domains in infinitesimally Riemannian metric measure spaces is obtained."}],"date_updated":"2023-02-21T10:08:07Z","year":"2022","citation":{"short":"M. Wirth, Advances in Operator Theory 7 (2022).","mla":"Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” <i>Advances in Operator Theory</i>, vol. 7, no. 3, 38, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s43036-022-00199-w\">10.1007/s43036-022-00199-w</a>.","ista":"Wirth M. 2022. Kac regularity and domination of quadratic forms. Advances in Operator Theory. 7(3), 38.","apa":"Wirth, M. (2022). Kac regularity and domination of quadratic forms. <i>Advances in Operator Theory</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s43036-022-00199-w\">https://doi.org/10.1007/s43036-022-00199-w</a>","ama":"Wirth M. Kac regularity and domination of quadratic forms. <i>Advances in Operator Theory</i>. 2022;7(3). doi:<a href=\"https://doi.org/10.1007/s43036-022-00199-w\">10.1007/s43036-022-00199-w</a>","ieee":"M. Wirth, “Kac regularity and domination of quadratic forms,” <i>Advances in Operator Theory</i>, vol. 7, no. 3. Springer Nature, 2022.","chicago":"Wirth, Melchior. “Kac Regularity and Domination of Quadratic Forms.” <i>Advances in Operator Theory</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s43036-022-00199-w\">https://doi.org/10.1007/s43036-022-00199-w</a>."},"volume":7,"acknowledgement":"The author was supported by the German Academic Scholarship Foundation (Studienstiftung des deutschen Volkes) and by the German Research Foundation (DFG) via RTG 1523/2. The author would like to thank Daniel Lenz for his support and encouragement during the author’s ongoing graduate studies and him as well as Marcel Schmidt for fruitful discussions on domination of quadratic forms. He wants to thank Batu Güneysu and Peter Stollmann for valuable comments on a preliminary version of this article. He would also like to thank the organizers of the conference Analysis and Geometry on Graphs and Manifolds in Potsdam, where the initial motivation of this article was conceived, and the organizers of the intense activity period Metric Measure Spaces and Ricci Curvature at MPIM in Bonn, where this work was finished.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","ddc":["510"],"publication_status":"published","department":[{"_id":"JaMa"}],"date_created":"2022-08-18T07:22:24Z","article_processing_charge":"Yes (via OA deal)","title":"Kac regularity and domination of quadratic forms","intvolume":"         7","_id":"11916","scopus_import":"1","author":[{"id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","orcid":"0000-0002-0519-4241","full_name":"Wirth, Melchior","first_name":"Melchior","last_name":"Wirth"}],"issue":"3","publisher":"Springer Nature","article_type":"original","quality_controlled":"1","file_date_updated":"2022-08-18T08:02:34Z","publication_identifier":{"eissn":["2538-225X"]},"oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_published":"2022-07-01T00:00:00Z","type":"journal_article","file":[{"access_level":"open_access","success":1,"relation":"main_file","file_id":"11921","creator":"dernst","date_created":"2022-08-18T08:02:34Z","file_size":389060,"checksum":"913474844a1b38264fb710746d5e2e98","date_updated":"2022-08-18T08:02:34Z","content_type":"application/pdf","file_name":"2022_AdvancesOperatorTheory_Wirth.pdf"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","month":"07","article_number":"38","publication":"Advances in Operator Theory","has_accepted_license":"1","language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory","Analysis"]},{"ddc":["510"],"acknowledgement":"L.E. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331. D.S. acknowledges the support of Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.","volume":10,"isi":1,"external_id":{"isi":["000873719200001"]},"date_updated":"2023-08-04T09:00:35Z","year":"2022","citation":{"ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner matrices,” <i>Forum of Mathematics, Sigma</i>, vol. 10. Cambridge University Press, 2022.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform Local Law for Wigner Matrices.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2022. <a href=\"https://doi.org/10.1017/fms.2022.86\">https://doi.org/10.1017/fms.2022.86</a>.","ama":"Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices. <i>Forum of Mathematics, Sigma</i>. 2022;10. doi:<a href=\"https://doi.org/10.1017/fms.2022.86\">10.1017/fms.2022.86</a>","apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2022). Rank-uniform local law for Wigner matrices. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2022.86\">https://doi.org/10.1017/fms.2022.86</a>","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 10, e96.","mla":"Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” <i>Forum of Mathematics, Sigma</i>, vol. 10, e96, Cambridge University Press, 2022, doi:<a href=\"https://doi.org/10.1017/fms.2022.86\">10.1017/fms.2022.86</a>.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022)."},"abstract":[{"text":"We prove a general local law for Wigner matrices that optimally handles observables of arbitrary rank and thus unifies the well-known averaged and isotropic local laws. As an application, we prove a central limit theorem in quantum unique ergodicity (QUE): that is, we show that the quadratic forms of a general deterministic matrix A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation. For the bulk spectrum, we thus generalise our previous result [17] as valid for test matrices A of large rank as well as the result of Benigni and Lopatto [7] as valid for specific small-rank observables.","lang":"eng"}],"doi":"10.1017/fms.2022.86","day":"27","file_date_updated":"2023-01-24T10:02:40Z","ec_funded":1,"quality_controlled":"1","article_type":"original","publisher":"Cambridge University Press","author":[{"id":"42198EFA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","first_name":"Giorgio","last_name":"Cipolloni"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","last_name":"Schröder","first_name":"Dominik J","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856"}],"_id":"12148","scopus_import":"1","title":"Rank-uniform local law for Wigner matrices","intvolume":"        10","publication_status":"published","date_created":"2023-01-12T12:07:30Z","article_processing_charge":"No","department":[{"_id":"LaEr"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"file_id":"12356","creator":"dernst","relation":"main_file","access_level":"open_access","success":1,"date_updated":"2023-01-24T10:02:40Z","content_type":"application/pdf","file_name":"2022_ForumMath_Cipolloni.pdf","date_created":"2023-01-24T10:02:40Z","file_size":817089,"checksum":"94a049aeb1eea5497aa097712a73c400"}],"date_published":"2022-10-27T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["2050-5094"]},"language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Theoretical Computer Science","Analysis"],"publication":"Forum of Mathematics, Sigma","has_accepted_license":"1","month":"10","article_number":"e96","oa_version":"Published Version","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}]},{"keyword":["Analysis"],"language":[{"iso":"eng"}],"oa_version":"Preprint","month":"07","publication":"SIAM Journal on Matrix Analysis and Applications","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2105.13719","open_access":"1"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["1095-7162"],"issn":["0895-4798"]},"oa":1,"type":"journal_article","date_published":"2022-07-01T00:00:00Z","publisher":"Society for Industrial and Applied Mathematics","article_type":"original","quality_controlled":"1","page":"1469-1487","date_created":"2023-01-12T12:12:38Z","article_processing_charge":"No","department":[{"_id":"LaEr"}],"publication_status":"published","intvolume":"        43","title":"On the condition number of the shifted real Ginibre ensemble","scopus_import":"1","_id":"12179","issue":"3","author":[{"full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","last_name":"Cipolloni","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","last_name":"Schröder","first_name":"Dominik J","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856"}],"volume":43,"day":"01","arxiv":1,"doi":"10.1137/21m1424408","abstract":[{"lang":"eng","text":"We derive an accurate lower tail estimate on the lowest singular value σ1(X−z) of a real Gaussian (Ginibre) random matrix X shifted by a complex parameter z. Such shift effectively changes the upper tail behavior of the condition number κ(X−z) from the slower (κ(X−z)≥t)≲1/t decay typical for real Ginibre matrices to the faster 1/t2 decay seen for complex Ginibre matrices as long as z is away from the real axis. This sharpens and resolves a recent conjecture in [J. Banks et al., https://arxiv.org/abs/2005.08930, 2020] on the regularizing effect of the real Ginibre ensemble with a genuinely complex shift. As a consequence we obtain an improved upper bound on the eigenvalue condition numbers (known also as the eigenvector overlaps) for real Ginibre matrices. The main technical tool is a rigorous supersymmetric analysis from our earlier work [Probab. Math. Phys., 1 (2020), pp. 101--146]."}],"year":"2022","citation":{"ama":"Cipolloni G, Erdös L, Schröder DJ. On the condition number of the shifted real Ginibre ensemble. <i>SIAM Journal on Matrix Analysis and Applications</i>. 2022;43(3):1469-1487. doi:<a href=\"https://doi.org/10.1137/21m1424408\">10.1137/21m1424408</a>","apa":"Cipolloni, G., Erdös, L., &#38; Schröder, D. J. (2022). On the condition number of the shifted real Ginibre ensemble. <i>SIAM Journal on Matrix Analysis and Applications</i>. Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/21m1424408\">https://doi.org/10.1137/21m1424408</a>","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “On the Condition Number of the Shifted Real Ginibre Ensemble.” <i>SIAM Journal on Matrix Analysis and Applications</i>. Society for Industrial and Applied Mathematics, 2022. <a href=\"https://doi.org/10.1137/21m1424408\">https://doi.org/10.1137/21m1424408</a>.","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “On the condition number of the shifted real Ginibre ensemble,” <i>SIAM Journal on Matrix Analysis and Applications</i>, vol. 43, no. 3. Society for Industrial and Applied Mathematics, pp. 1469–1487, 2022.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.","mla":"Cipolloni, Giorgio, et al. “On the Condition Number of the Shifted Real Ginibre Ensemble.” <i>SIAM Journal on Matrix Analysis and Applications</i>, vol. 43, no. 3, Society for Industrial and Applied Mathematics, 2022, pp. 1469–87, doi:<a href=\"https://doi.org/10.1137/21m1424408\">10.1137/21m1424408</a>.","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. On the condition number of the shifted real Ginibre ensemble. SIAM Journal on Matrix Analysis and Applications. 43(3), 1469–1487."},"date_updated":"2023-01-27T06:56:06Z","external_id":{"arxiv":["2105.13719"]}},{"publication":"Linear Algebra and its Applications","has_accepted_license":"1","month":"12","oa_version":"Published Version","project":[{"grant_number":"M03337","name":"Curvature-dimension in noncommutative analysis","_id":"eb958bca-77a9-11ec-83b8-c565cb50d8d6"}],"language":[{"iso":"eng"}],"keyword":["Discrete Mathematics and Combinatorics","Geometry and Topology","Numerical Analysis","Algebra and Number Theory"],"date_published":"2022-12-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0024-3795"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"date_created":"2023-01-27T08:08:39Z","file_size":441184,"checksum":"cf3cb7e7e34baa967849f01d8f0c1ae4","date_updated":"2023-01-27T08:08:39Z","file_name":"2022_LinearAlgebra_Carlen.pdf","content_type":"application/pdf","relation":"main_file","success":1,"access_level":"open_access","file_id":"12415","creator":"dernst"}],"author":[{"full_name":"Carlen, Eric A.","first_name":"Eric A.","last_name":"Carlen"},{"full_name":"Zhang, Haonan","last_name":"Zhang","first_name":"Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425"}],"_id":"12216","scopus_import":"1","title":"Monotonicity versions of Epstein's concavity theorem and related inequalities","intvolume":"       654","publication_status":"published","date_created":"2023-01-16T09:46:38Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"JaMa"}],"file_date_updated":"2023-01-27T08:08:39Z","page":"289-310","quality_controlled":"1","article_type":"original","publisher":"Elsevier","isi":1,"external_id":{"isi":["000860689600014"]},"date_updated":"2023-08-04T09:24:51Z","year":"2022","citation":{"apa":"Carlen, E. A., &#38; Zhang, H. (2022). Monotonicity versions of Epstein’s concavity theorem and related inequalities. <i>Linear Algebra and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">https://doi.org/10.1016/j.laa.2022.09.001</a>","ama":"Carlen EA, Zhang H. Monotonicity versions of Epstein’s concavity theorem and related inequalities. <i>Linear Algebra and its Applications</i>. 2022;654:289-310. doi:<a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">10.1016/j.laa.2022.09.001</a>","ieee":"E. A. Carlen and H. Zhang, “Monotonicity versions of Epstein’s concavity theorem and related inequalities,” <i>Linear Algebra and its Applications</i>, vol. 654. Elsevier, pp. 289–310, 2022.","chicago":"Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.” <i>Linear Algebra and Its Applications</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">https://doi.org/10.1016/j.laa.2022.09.001</a>.","short":"E.A. Carlen, H. Zhang, Linear Algebra and Its Applications 654 (2022) 289–310.","mla":"Carlen, Eric A., and Haonan Zhang. “Monotonicity Versions of Epstein’s Concavity Theorem and Related Inequalities.” <i>Linear Algebra and Its Applications</i>, vol. 654, Elsevier, 2022, pp. 289–310, doi:<a href=\"https://doi.org/10.1016/j.laa.2022.09.001\">10.1016/j.laa.2022.09.001</a>.","ista":"Carlen EA, Zhang H. 2022. Monotonicity versions of Epstein’s concavity theorem and related inequalities. Linear Algebra and its Applications. 654, 289–310."},"abstract":[{"lang":"eng","text":"Many trace inequalities can be expressed either as concavity/convexity theorems or as monotonicity theorems. A classic example is the joint convexity of the quantum relative entropy which is equivalent to the Data Processing Inequality. The latter says that quantum operations can never increase the relative entropy. The monotonicity versions often have many advantages, and often have direct physical application, as in the example just mentioned. Moreover, the monotonicity results are often valid for a larger class of maps than, say, quantum operations (which are completely positive). In this paper we prove several new monotonicity results, the first of which is a monotonicity theorem that has as a simple corollary a celebrated concavity theorem of Epstein. Our starting points are the monotonicity versions of the Lieb Concavity and the Lieb Convexity Theorems. We also give two new proofs of these in their general forms using interpolation. We then prove our new monotonicity theorems by several duality arguments."}],"doi":"10.1016/j.laa.2022.09.001","day":"01","ddc":["510"],"volume":654,"acknowledgement":"Work partially supported by the Lise Meitner fellowship, Austrian Science Fund (FWF) M3337."},{"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.1907.05342","open_access":"1"}],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_published":"2022-07-01T00:00:00Z","type":"journal_article","publication_identifier":{"issn":["0360-5302"],"eissn":["1532-4133"]},"oa":1,"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"publication":"Communications in Partial Differential Equations","oa_version":"Preprint","month":"07","acknowledgement":"N. De Nitti acknowledges the kind hospitality of IST Austria within the framework of the ISTernship Summer Program 2018, during which most of the present article was written. N. DeNitti has received funding by The Austrian Agency for International Cooperation in Education &Research (OeAD-GmbH) via its financial support of the ISTernship Summer Program 2018. N.De Nitti would also like to thank Giuseppe Coclite, Giuseppe Devillanova, Giuseppe Florio, Sebastian Hensel, and Francesco Maddalena for several helpful conversations on topics related to this work.","volume":47,"date_updated":"2023-08-04T10:34:31Z","citation":{"chicago":"De Nitti, Nicola, and Julian L Fischer. “Sharp Criteria for the Waiting Time Phenomenon in Solutions to the Thin-Film Equation.” <i>Communications in Partial Differential Equations</i>. Taylor &#38; Francis, 2022. <a href=\"https://doi.org/10.1080/03605302.2022.2056702\">https://doi.org/10.1080/03605302.2022.2056702</a>.","ieee":"N. De Nitti and J. L. Fischer, “Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation,” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 7. Taylor &#38; Francis, pp. 1394–1434, 2022.","ama":"De Nitti N, Fischer JL. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. <i>Communications in Partial Differential Equations</i>. 2022;47(7):1394-1434. doi:<a href=\"https://doi.org/10.1080/03605302.2022.2056702\">10.1080/03605302.2022.2056702</a>","apa":"De Nitti, N., &#38; Fischer, J. L. (2022). Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. <i>Communications in Partial Differential Equations</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/03605302.2022.2056702\">https://doi.org/10.1080/03605302.2022.2056702</a>","ista":"De Nitti N, Fischer JL. 2022. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. Communications in Partial Differential Equations. 47(7), 1394–1434.","short":"N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations 47 (2022) 1394–1434.","mla":"De Nitti, Nicola, and Julian L. Fischer. “Sharp Criteria for the Waiting Time Phenomenon in Solutions to the Thin-Film Equation.” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 7, Taylor &#38; Francis, 2022, pp. 1394–434, doi:<a href=\"https://doi.org/10.1080/03605302.2022.2056702\">10.1080/03605302.2022.2056702</a>."},"year":"2022","isi":1,"external_id":{"arxiv":["1907.05342"],"isi":["000805689800001"]},"doi":"10.1080/03605302.2022.2056702","arxiv":1,"day":"01","abstract":[{"lang":"eng","text":"We establish sharp criteria for the instantaneous propagation of free boundaries in solutions to the thin-film equation. The criteria are formulated in terms of the initial distribution of mass (as opposed to previous almost-optimal results), reflecting the fact that mass is a locally conserved quantity for the thin-film equation. In the regime of weak slippage, our criteria are at the same time necessary and sufficient. The proof of our upper bounds on free boundary propagation is based on a strategy of “propagation of degeneracy” down to arbitrarily small spatial scales: We combine estimates on the local mass and estimates on energies to show that “degeneracy” on a certain space-time cylinder entails “degeneracy” on a spatially smaller space-time cylinder with the same time horizon. The derivation of our lower bounds on free boundary propagation is based on a combination of a monotone quantity and almost optimal estimates established previously by the second author with a new estimate connecting motion of mass to entropy production."}],"page":"1394-1434","quality_controlled":"1","publisher":"Taylor & Francis","article_type":"original","_id":"12304","scopus_import":"1","author":[{"last_name":"De Nitti","first_name":"Nicola","full_name":"De Nitti, Nicola"},{"first_name":"Julian L","last_name":"Fischer","orcid":"0000-0002-0479-558X","full_name":"Fischer, Julian L","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87"}],"issue":"7","publication_status":"published","department":[{"_id":"JuFi"}],"date_created":"2023-01-16T10:06:50Z","article_processing_charge":"No","title":"Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation","intvolume":"        47"},{"publication":"SIAM Journal on Mathematical Analysis","month":"01","oa_version":"Preprint","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"date_published":"2022-01-04T00:00:00Z","type":"journal_article","oa":1,"publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2105.08434","open_access":"1"}],"author":[{"last_name":"Abels","first_name":"Helmut","full_name":"Abels, Helmut"},{"first_name":"Maximilian","last_name":"Moser","full_name":"Moser, Maximilian","id":"a60047a9-da77-11eb-85b4-c4dc385ebb8c"}],"issue":"1","_id":"12305","scopus_import":"1","title":"Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°","intvolume":"        54","publication_status":"published","date_created":"2023-01-16T10:07:00Z","article_processing_charge":"No","department":[{"_id":"JuFi"}],"page":"114-172","quality_controlled":"1","article_type":"original","publisher":"Society for Industrial and Applied Mathematics","isi":1,"external_id":{"isi":["000762768000004"],"arxiv":["2105.08434"]},"date_updated":"2023-08-04T10:34:56Z","citation":{"ista":"Abels H, Moser M. 2022. Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. SIAM Journal on Mathematical Analysis. 54(1), 114–172.","short":"H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172.","mla":"Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 1, Society for Industrial and Applied Mathematics, 2022, pp. 114–72, doi:<a href=\"https://doi.org/10.1137/21m1424925\">10.1137/21m1424925</a>.","chicago":"Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics, 2022. <a href=\"https://doi.org/10.1137/21m1424925\">https://doi.org/10.1137/21m1424925</a>.","ieee":"H. Abels and M. Moser, “Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 1. Society for Industrial and Applied Mathematics, pp. 114–172, 2022.","apa":"Abels, H., &#38; Moser, M. (2022). Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/21m1424925\">https://doi.org/10.1137/21m1424925</a>","ama":"Abels H, Moser M. Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. <i>SIAM Journal on Mathematical Analysis</i>. 2022;54(1):114-172. doi:<a href=\"https://doi.org/10.1137/21m1424925\">10.1137/21m1424925</a>"},"year":"2022","abstract":[{"lang":"eng","text":"This paper is concerned with the sharp interface limit for the Allen--Cahn equation with a nonlinear Robin boundary condition in a bounded smooth domain Ω⊂\\R2. We assume that a diffuse interface already has developed and that it is in contact with the boundary ∂Ω. The boundary condition is designed in such a way that the limit problem is given by the mean curvature flow with constant α-contact angle. For α close to 90° we prove a local in time convergence result for well-prepared initial data for times when a smooth solution to the limit problem exists. Based on the latter we construct a suitable curvilinear coordinate system and carry out a rigorous asymptotic expansion for the Allen--Cahn equation with the nonlinear Robin boundary condition. Moreover, we show a spectral estimate for the corresponding linearized Allen--Cahn operator and with its aid we derive strong norm estimates for the difference of the exact and approximate solutions using a Gronwall-type argument."}],"doi":"10.1137/21m1424925","arxiv":1,"day":"04","volume":54},{"ddc":["510"],"acknowledgement":"The authors acknowledge the support of the grant of the Russian Government N 075-15-\r\n2019-1926. G.I.was supported also by the SwissNational Science Foundation grant 200021-179133. The authors are very grateful to the anonymous reviewer for valuable remarks.","volume":9,"abstract":[{"text":"We study the properties of the maximal volume k-dimensional sections of the n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a k-dimensional subspace to be a local maximizer of the volume of such sections, which we formulate in a geometric way. We estimate the length of the projection of a vector of the standard basis of Rn onto a k-dimensional subspace that maximizes the volume of the intersection. We \u001cnd the optimal upper bound on the volume of a planar section of the cube [−1, 1]n , n ≥ 2.","lang":"eng"}],"arxiv":1,"doi":"10.1515/agms-2020-0103","day":"29","isi":1,"external_id":{"isi":["000734286800001"],"arxiv":["2004.02674"]},"date_updated":"2023-08-17T07:07:58Z","year":"2021","citation":{"ieee":"G. Ivanov and I. Tsiutsiurupa, “On the volume of sections of the cube,” <i>Analysis and Geometry in Metric Spaces</i>, vol. 9, no. 1. De Gruyter, pp. 1–18, 2021.","chicago":"Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the Cube.” <i>Analysis and Geometry in Metric Spaces</i>. De Gruyter, 2021. <a href=\"https://doi.org/10.1515/agms-2020-0103\">https://doi.org/10.1515/agms-2020-0103</a>.","ama":"Ivanov G, Tsiutsiurupa I. On the volume of sections of the cube. <i>Analysis and Geometry in Metric Spaces</i>. 2021;9(1):1-18. doi:<a href=\"https://doi.org/10.1515/agms-2020-0103\">10.1515/agms-2020-0103</a>","apa":"Ivanov, G., &#38; Tsiutsiurupa, I. (2021). On the volume of sections of the cube. <i>Analysis and Geometry in Metric Spaces</i>. De Gruyter. <a href=\"https://doi.org/10.1515/agms-2020-0103\">https://doi.org/10.1515/agms-2020-0103</a>","ista":"Ivanov G, Tsiutsiurupa I. 2021. On the volume of sections of the cube. Analysis and Geometry in Metric Spaces. 9(1), 1–18.","mla":"Ivanov, Grigory, and Igor Tsiutsiurupa. “On the Volume of Sections of the Cube.” <i>Analysis and Geometry in Metric Spaces</i>, vol. 9, no. 1, De Gruyter, 2021, pp. 1–18, doi:<a href=\"https://doi.org/10.1515/agms-2020-0103\">10.1515/agms-2020-0103</a>.","short":"G. Ivanov, I. Tsiutsiurupa, Analysis and Geometry in Metric Spaces 9 (2021) 1–18."},"article_type":"original","publisher":"De Gruyter","file_date_updated":"2022-03-18T09:31:59Z","page":"1-18","quality_controlled":"1","title":"On the volume of sections of the cube","intvolume":"         9","publication_status":"published","department":[{"_id":"UlWa"}],"date_created":"2022-03-18T09:25:14Z","article_processing_charge":"No","author":[{"last_name":"Ivanov","first_name":"Grigory","full_name":"Ivanov, Grigory","id":"87744F66-5C6F-11EA-AFE0-D16B3DDC885E"},{"last_name":"Tsiutsiurupa","first_name":"Igor","full_name":"Tsiutsiurupa, Igor"}],"issue":"1","_id":"10856","scopus_import":"1","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"creator":"dernst","file_id":"10857","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf","file_name":"2021_AnalysisMetricSpaces_Ivanov.pdf","date_updated":"2022-03-18T09:31:59Z","checksum":"7e615ac8489f5eae580b6517debfdc53","file_size":789801,"date_created":"2022-03-18T09:31:59Z"}],"oa":1,"publication_identifier":{"issn":["2299-3274"]},"date_published":"2021-01-29T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Geometry and Topology","Analysis"],"month":"01","oa_version":"Published Version","publication":"Analysis and Geometry in Metric Spaces","has_accepted_license":"1"},{"publisher":"EDP Sciences","article_type":"original","quality_controlled":"1","publication_status":"published","date_created":"2022-07-18T12:21:32Z","article_processing_charge":"No","title":"ROOSTER: A machine-learning analysis tool for Kepler stellar rotation periods","intvolume":"       647","_id":"11608","scopus_import":"1","author":[{"last_name":"Breton","first_name":"S. N.","full_name":"Breton, S. N."},{"first_name":"A. R. G.","last_name":"Santos","full_name":"Santos, A. R. G."},{"first_name":"Lisa Annabelle","last_name":"Bugnet","orcid":"0000-0003-0142-4000","full_name":"Bugnet, Lisa Annabelle","id":"d9edb345-f866-11ec-9b37-d119b5234501"},{"full_name":"Mathur, S.","first_name":"S.","last_name":"Mathur"},{"full_name":"García, R. A.","first_name":"R. A.","last_name":"García"},{"full_name":"Pallé, P. L.","first_name":"P. L.","last_name":"Pallé"}],"acknowledgement":"We thank Suzanne Aigrain and Joe Llama for providing us with the simulated data used in Aigrain et al. (2015). S. N. B., L. B. and R. A. G. acknowledge the support from PLATO and GOLF CNES grants. A. R. G. S. acknowledges the support from NASA under grant NNX17AF27G. S. M. acknowledges the support from the Spanish Ministry of Science and Innovation with the Ramon y Cajal fellowship number RYC-2015-17697. P. L. P. and S. M. acknowledge support from the Spanish Ministry of Science and Innovation with the grant number PID2019-107187GB-I00. This research has made use of the NASA Exoplanet Archive, which is operated by the California Institute of Technology, under contract with the National Aeronautics and Space Administration under the Exoplanet Exploration Program. Software: Python (Van Rossum & Drake 2009), numpy (Oliphant 2006), pandas (The pandas development team 2020; McKinney 2010), matplotlib (Hunter 2007), scikit-learn (Pedregosa et al. 2011). The source code used to obtain the present results can be found at: https://gitlab.com/sybreton/pushkin ; https://gitlab.com/sybreton/ml_surface_rotation_paper .","volume":647,"extern":"1","arxiv":1,"doi":"10.1051/0004-6361/202039947","day":"19","abstract":[{"text":"In order to understand stellar evolution, it is crucial to efficiently determine stellar surface rotation periods. Indeed, while they are of great importance in stellar models, angular momentum transport processes inside stars are still poorly understood today. Surface rotation, which is linked to the age of the star, is one of the constraints needed to improve the way those processes are modelled. Statistics of the surface rotation periods for a large sample of stars of different spectral types are thus necessary. An efficient tool to automatically determine reliable rotation periods is needed when dealing with large samples of stellar photometric datasets. The objective of this work is to develop such a tool. For this purpose, machine learning classifiers constitute relevant bases to build our new methodology. Random forest learning abilities are exploited to automate the extraction of rotation periods in Kepler light curves. Rotation periods and complementary parameters are obtained via three different methods: a wavelet analysis, the autocorrelation function of the light curve, and the composite spectrum. We trained three different classifiers: one to detect if rotational modulations are present in the light curve, one to flag close binary or classical pulsators candidates that can bias our rotation period determination, and finally one classifier to provide the final rotation period. We tested our machine learning pipeline on 23 431 stars of the Kepler K and M dwarf reference rotation catalogue for which 60% of the stars have been visually inspected. For the sample of 21 707 stars where all the input parameters are provided to the algorithm, 94.2% of them are correctly classified (as rotating or not). Among the stars that have a rotation period in the reference catalogue, the machine learning provides a period that agrees within 10% of the reference value for 95.3% of the stars. Moreover, the yield of correct rotation periods is raised to 99.5% after visually inspecting 25.2% of the stars. Over the two main analysis steps, rotation classification and period selection, the pipeline yields a global agreement with the reference values of 92.1% and 96.9% before and after visual inspection. Random forest classifiers are efficient tools to determine reliable rotation periods in large samples of stars. The methodology presented here could be easily adapted to extract surface rotation periods for stars with different spectral types or observed by other instruments such as K2, TESS or by PLATO in the near future.","lang":"eng"}],"date_updated":"2022-08-22T08:47:47Z","citation":{"ista":"Breton SN, Santos ARG, Bugnet LA, Mathur S, García RA, Pallé PL. 2021. ROOSTER: A machine-learning analysis tool for Kepler stellar rotation periods. Astronomy &#38; Astrophysics. 647, A125.","short":"S.N. Breton, A.R.G. Santos, L.A. Bugnet, S. Mathur, R.A. García, P.L. Pallé, Astronomy &#38; Astrophysics 647 (2021).","mla":"Breton, S. N., et al. “ROOSTER: A Machine-Learning Analysis Tool for Kepler Stellar Rotation Periods.” <i>Astronomy &#38; Astrophysics</i>, vol. 647, A125, EDP Sciences, 2021, doi:<a href=\"https://doi.org/10.1051/0004-6361/202039947\">10.1051/0004-6361/202039947</a>.","chicago":"Breton, S. N., A. R. G. Santos, Lisa Annabelle Bugnet, S. Mathur, R. A. García, and P. L. Pallé. “ROOSTER: A Machine-Learning Analysis Tool for Kepler Stellar Rotation Periods.” <i>Astronomy &#38; Astrophysics</i>. EDP Sciences, 2021. <a href=\"https://doi.org/10.1051/0004-6361/202039947\">https://doi.org/10.1051/0004-6361/202039947</a>.","ieee":"S. N. Breton, A. R. G. Santos, L. A. Bugnet, S. Mathur, R. A. García, and P. L. Pallé, “ROOSTER: A machine-learning analysis tool for Kepler stellar rotation periods,” <i>Astronomy &#38; Astrophysics</i>, vol. 647. EDP Sciences, 2021.","ama":"Breton SN, Santos ARG, Bugnet LA, Mathur S, García RA, Pallé PL. ROOSTER: A machine-learning analysis tool for Kepler stellar rotation periods. <i>Astronomy &#38; Astrophysics</i>. 2021;647. doi:<a href=\"https://doi.org/10.1051/0004-6361/202039947\">10.1051/0004-6361/202039947</a>","apa":"Breton, S. N., Santos, A. R. G., Bugnet, L. A., Mathur, S., García, R. A., &#38; Pallé, P. L. (2021). ROOSTER: A machine-learning analysis tool for Kepler stellar rotation periods. <i>Astronomy &#38; Astrophysics</i>. EDP Sciences. <a href=\"https://doi.org/10.1051/0004-6361/202039947\">https://doi.org/10.1051/0004-6361/202039947</a>"},"year":"2021","external_id":{"arxiv":["2101.10152"]},"language":[{"iso":"eng"}],"keyword":["Space and Planetary Science","Astronomy and Astrophysics","methods: data analysis / stars: solar-type / stars: activity / stars: rotation / starspots"],"oa_version":"Preprint","month":"03","article_number":"A125","publication":"Astronomy & Astrophysics","main_file_link":[{"url":"https://arxiv.org/abs/2101.10152","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","publication_identifier":{"eissn":["1432-0746"],"issn":["0004-6361"]},"oa":1,"date_published":"2021-03-19T00:00:00Z","type":"journal_article"},{"ddc":["004"],"date_updated":"2023-05-03T10:40:16Z","year":"2021","citation":{"ama":"Dvorak M, Kolmogorov V. Generalized minimum 0-extension problem and discrete convexity. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2109.10203\">10.48550/arXiv.2109.10203</a>","apa":"Dvorak, M., &#38; Kolmogorov, V. (n.d.). Generalized minimum 0-extension problem and discrete convexity. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2109.10203\">https://doi.org/10.48550/arXiv.2109.10203</a>","ieee":"M. Dvorak and V. Kolmogorov, “Generalized minimum 0-extension problem and discrete convexity,” <i>arXiv</i>. .","chicago":"Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension Problem and Discrete Convexity.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2109.10203\">https://doi.org/10.48550/arXiv.2109.10203</a>.","short":"M. Dvorak, V. Kolmogorov, ArXiv (n.d.).","mla":"Dvorak, Martin, and Vladimir Kolmogorov. “Generalized Minimum 0-Extension Problem and Discrete Convexity.” <i>ArXiv</i>, 2109.10203, doi:<a href=\"https://doi.org/10.48550/arXiv.2109.10203\">10.48550/arXiv.2109.10203</a>.","ista":"Dvorak M, Kolmogorov V. Generalized minimum 0-extension problem and discrete convexity. arXiv, 2109.10203."},"external_id":{"arxiv":["2109.10203"]},"arxiv":1,"doi":"10.48550/arXiv.2109.10203","day":"21","abstract":[{"lang":"eng","text":"Given a fixed finite metric space (V,μ), the {\\em minimum 0-extension problem}, denoted as 0-Ext[μ], is equivalent to the following optimization problem: minimize function of the form minx∈Vn∑ifi(xi)+∑ijcijμ(xi,xj) where cij,cvi are given nonnegative costs and fi:V→R are functions given by fi(xi)=∑v∈Vcviμ(xi,v). The computational complexity of 0-Ext[μ] has been recently established by Karzanov and by Hirai: if metric μ is {\\em orientable modular} then 0-Ext[μ] can be solved in polynomial time, otherwise 0-Ext[μ] is NP-hard. To prove the tractability part, Hirai developed a theory of discrete convex functions on orientable modular graphs generalizing several known classes of functions in discrete convex analysis, such as L♮-convex functions. We consider a more general version of the problem in which unary functions fi(xi) can additionally have terms of the form cuv;iμ(xi,{u,v}) for {u,v}∈F, where set F⊆(V2) is fixed. We extend the complexity classification above by providing an explicit condition on (μ,F) for the problem to be tractable. In order to prove the tractability part, we generalize Hirai's theory and define a larger class of discrete convex functions. It covers, in particular, another well-known class of functions, namely submodular functions on an integer lattice. Finally, we improve the complexity of Hirai's algorithm for solving 0-Ext on orientable modular graphs.\r\n"}],"file_date_updated":"2021-09-27T10:54:51Z","_id":"10045","author":[{"id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","last_name":"Dvorak","first_name":"Martin","full_name":"Dvorak, Martin","orcid":"0000-0001-5293-214X"},{"id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","last_name":"Kolmogorov","first_name":"Vladimir","full_name":"Kolmogorov, Vladimir"}],"publication_status":"submitted","department":[{"_id":"GradSch"},{"_id":"VlKo"}],"date_created":"2021-09-27T10:48:23Z","article_processing_charge":"No","title":"Generalized minimum 0-extension problem and discrete convexity","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2109.10203"}],"file":[{"access_level":"open_access","success":1,"relation":"main_file","creator":"mdvorak","file_id":"10046","checksum":"e7e83065f7bc18b9c188bf93b5ca5db6","file_size":603672,"date_created":"2021-09-27T10:54:51Z","content_type":"application/pdf","file_name":"Generalized-0-Ext.pdf","date_updated":"2021-09-27T10:54:51Z"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2021-09-21T00:00:00Z","type":"preprint","oa":1,"language":[{"iso":"eng"}],"keyword":["minimum 0-extension problem","metric labeling problem","discrete metric spaces","metric extensions","computational complexity","valued constraint satisfaction problems","discrete convex analysis","L-convex functions"],"publication":"arXiv","has_accepted_license":"1","oa_version":"Preprint","month":"09","article_number":"2109.10203"},{"isi":1,"external_id":{"arxiv":["2008.03326"],"isi":["000685721000001"]},"date_updated":"2023-09-05T14:13:57Z","citation":{"short":"M. Mondelli, C. Thrampoulidis, R. Venkataramanan, Foundations of Computational Mathematics (2021).","mla":"Mondelli, Marco, et al. “Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models.” <i>Foundations of Computational Mathematics</i>, Springer, 2021, doi:<a href=\"https://doi.org/10.1007/s10208-021-09531-x\">10.1007/s10208-021-09531-x</a>.","ista":"Mondelli M, Thrampoulidis C, Venkataramanan R. 2021. Optimal combination of linear and spectral estimators for generalized linear models. Foundations of Computational Mathematics.","apa":"Mondelli, M., Thrampoulidis, C., &#38; Venkataramanan, R. (2021). Optimal combination of linear and spectral estimators for generalized linear models. <i>Foundations of Computational Mathematics</i>. Springer. <a href=\"https://doi.org/10.1007/s10208-021-09531-x\">https://doi.org/10.1007/s10208-021-09531-x</a>","ama":"Mondelli M, Thrampoulidis C, Venkataramanan R. Optimal combination of linear and spectral estimators for generalized linear models. <i>Foundations of Computational Mathematics</i>. 2021. doi:<a href=\"https://doi.org/10.1007/s10208-021-09531-x\">10.1007/s10208-021-09531-x</a>","chicago":"Mondelli, Marco, Christos Thrampoulidis, and Ramji Venkataramanan. “Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models.” <i>Foundations of Computational Mathematics</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s10208-021-09531-x\">https://doi.org/10.1007/s10208-021-09531-x</a>.","ieee":"M. Mondelli, C. Thrampoulidis, and R. Venkataramanan, “Optimal combination of linear and spectral estimators for generalized linear models,” <i>Foundations of Computational Mathematics</i>. Springer, 2021."},"year":"2021","abstract":[{"lang":"eng","text":"We study the problem of recovering an unknown signal 𝑥𝑥 given measurements obtained from a generalized linear model with a Gaussian sensing matrix. Two popular solutions are based on a linear estimator 𝑥𝑥^L and a spectral estimator 𝑥𝑥^s. The former is a data-dependent linear combination of the columns of the measurement matrix, and its analysis is quite simple. The latter is the principal eigenvector of a data-dependent matrix, and a recent line of work has studied its performance. In this paper, we show how to optimally combine 𝑥𝑥^L and 𝑥𝑥^s. At the heart of our analysis is the exact characterization of the empirical joint distribution of (𝑥𝑥,𝑥𝑥^L,𝑥𝑥^s) in the high-dimensional limit. This allows us to compute the Bayes-optimal combination of 𝑥𝑥^L and 𝑥𝑥^s, given the limiting distribution of the signal 𝑥𝑥. When the distribution of the signal is Gaussian, then the Bayes-optimal combination has the form 𝜃𝑥𝑥^L+𝑥𝑥^s and we derive the optimal combination coefficient. In order to establish the limiting distribution of (𝑥𝑥,𝑥𝑥^L,𝑥𝑥^s), we design and analyze an approximate message passing algorithm whose iterates give 𝑥𝑥^L and approach 𝑥𝑥^s. Numerical simulations demonstrate the improvement of the proposed combination with respect to the two methods considered separately."}],"arxiv":1,"doi":"10.1007/s10208-021-09531-x","day":"17","ddc":["510"],"acknowledgement":"M. Mondelli would like to thank Andrea Montanari for helpful discussions. All the authors would like to thank the anonymous reviewers for their helpful comments.","author":[{"full_name":"Mondelli, Marco","orcid":"0000-0002-3242-7020","last_name":"Mondelli","first_name":"Marco","id":"27EB676C-8706-11E9-9510-7717E6697425"},{"full_name":"Thrampoulidis, Christos","last_name":"Thrampoulidis","first_name":"Christos"},{"full_name":"Venkataramanan, Ramji","first_name":"Ramji","last_name":"Venkataramanan"}],"_id":"10211","scopus_import":"1","title":"Optimal combination of linear and spectral estimators for generalized linear models","publication_status":"published","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"MaMo"}],"date_created":"2021-11-03T10:59:08Z","file_date_updated":"2021-12-13T15:47:54Z","quality_controlled":"1","article_type":"original","publisher":"Springer","date_published":"2021-08-17T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["1615-3375"],"eissn":["1615-3383"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","file":[{"date_updated":"2021-12-13T15:47:54Z","content_type":"application/pdf","file_name":"2021_Springer_Mondelli.pdf","date_created":"2021-12-13T15:47:54Z","checksum":"9ea12dd8045a0678000a3a59295221cb","file_size":2305731,"file_id":"10542","creator":"alisjak","relation":"main_file","access_level":"open_access","success":1}],"publication":"Foundations of Computational Mathematics","has_accepted_license":"1","month":"08","oa_version":"Published Version","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Theory and Mathematics","Computational Mathematics","Analysis"]},{"type":"journal_article","date_published":"2021-06-30T00:00:00Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"oa":1,"publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"success":1,"relation":"main_file","access_level":"open_access","file_id":"10558","creator":"cchlebak","date_created":"2021-12-16T14:58:08Z","checksum":"cc830b739aed83ca2e32c4e0ce266a4c","file_size":1640121,"date_updated":"2021-12-16T14:58:08Z","file_name":"2021_ArchRatMechAnalysis_Fischer.pdf","content_type":"application/pdf"}],"has_accepted_license":"1","publication":"Archive for Rational Mechanics and Analysis","month":"06","oa_version":"Published Version","keyword":["Mechanical Engineering","Mathematics (miscellaneous)","Analysis"],"language":[{"iso":"eng"}],"external_id":{"isi":["000668431200001"],"arxiv":["1908.02273"]},"isi":1,"year":"2021","citation":{"ista":"Fischer JL, Neukamm S. 2021. Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. Archive for Rational Mechanics and Analysis. 242(1), 343–452.","short":"J.L. Fischer, S. Neukamm, Archive for Rational Mechanics and Analysis 242 (2021) 343–452.","mla":"Fischer, Julian L., and Stefan Neukamm. “Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 1, Springer Nature, 2021, pp. 343–452, doi:<a href=\"https://doi.org/10.1007/s00205-021-01686-9\">10.1007/s00205-021-01686-9</a>.","chicago":"Fischer, Julian L, and Stefan Neukamm. “Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00205-021-01686-9\">https://doi.org/10.1007/s00205-021-01686-9</a>.","ieee":"J. L. Fischer and S. Neukamm, “Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 242, no. 1. Springer Nature, pp. 343–452, 2021.","ama":"Fischer JL, Neukamm S. Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. <i>Archive for Rational Mechanics and Analysis</i>. 2021;242(1):343-452. doi:<a href=\"https://doi.org/10.1007/s00205-021-01686-9\">10.1007/s00205-021-01686-9</a>","apa":"Fischer, J. L., &#38; Neukamm, S. (2021). Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-021-01686-9\">https://doi.org/10.1007/s00205-021-01686-9</a>"},"date_updated":"2023-08-17T06:23:21Z","abstract":[{"text":"We derive optimal-order homogenization rates for random nonlinear elliptic PDEs with monotone nonlinearity in the uniformly elliptic case. More precisely, for a random monotone operator on \\mathbb {R}^d with stationary law (that is spatially homogeneous statistics) and fast decay of correlations on scales larger than the microscale \\varepsilon >0, we establish homogenization error estimates of the order \\varepsilon in case d\\geqq 3, and of the order \\varepsilon |\\log \\varepsilon |^{1/2} in case d=2. Previous results in nonlinear stochastic homogenization have been limited to a small algebraic rate of convergence \\varepsilon ^\\delta . We also establish error estimates for the approximation of the homogenized operator by the method of representative volumes of the order (L/\\varepsilon )^{-d/2} for a representative volume of size L. Our results also hold in the case of systems for which a (small-scale) C^{1,\\alpha } regularity theory is available.","lang":"eng"}],"day":"30","doi":"10.1007/s00205-021-01686-9","arxiv":1,"ddc":["530"],"volume":242,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). SN acknowledges partial support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – project number 405009441.","issue":"1","author":[{"id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","full_name":"Fischer, Julian L","orcid":"0000-0002-0479-558X","last_name":"Fischer","first_name":"Julian L"},{"first_name":"Stefan","last_name":"Neukamm","full_name":"Neukamm, Stefan"}],"scopus_import":"1","_id":"10549","intvolume":"       242","title":"Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems","date_created":"2021-12-16T12:12:33Z","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"JuFi"}],"publication_status":"published","file_date_updated":"2021-12-16T14:58:08Z","quality_controlled":"1","page":"343-452","article_type":"original","publisher":"Springer Nature"},{"article_type":"original","publisher":"Elsevier","quality_controlled":"1","ec_funded":1,"title":"Spectral rigidity for addition of random matrices at the regular edge","intvolume":"       279","publication_status":"published","date_created":"2022-03-18T10:18:59Z","department":[{"_id":"LaEr"}],"article_processing_charge":"No","author":[{"id":"442E6A6C-F248-11E8-B48F-1D18A9856A87","first_name":"Zhigang","last_name":"Bao","orcid":"0000-0003-3036-1475","full_name":"Bao, Zhigang"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","last_name":"Erdös"},{"full_name":"Schnelli, Kevin","last_name":"Schnelli","first_name":"Kevin"}],"issue":"7","_id":"10862","scopus_import":"1","volume":279,"acknowledgement":"Partially supported by ERC Advanced Grant RANMAT No. 338804.","abstract":[{"lang":"eng","text":"We consider the sum of two large Hermitian matrices A and B with a Haar unitary conjugation bringing them into a general relative position. We prove that the eigenvalue density on the scale slightly above the local eigenvalue spacing is asymptotically given by the free additive convolution of the laws of A and B as the dimension of the matrix increases. This implies optimal rigidity of the eigenvalues and optimal rate of convergence in Voiculescu's theorem. Our previous works [4], [5] established these results in the bulk spectrum, the current paper completely settles the problem at the spectral edges provided they have the typical square-root behavior. The key element of our proof is to compensate the deterioration of the stability of the subordination equations by sharp error estimates that properly account for the local density near the edge. Our results also hold if the Haar unitary matrix is replaced by the Haar orthogonal matrix."}],"doi":"10.1016/j.jfa.2020.108639","arxiv":1,"day":"15","isi":1,"external_id":{"arxiv":["1708.01597"],"isi":["000559623200009"]},"date_updated":"2023-08-24T14:08:42Z","citation":{"ista":"Bao Z, Erdös L, Schnelli K. 2020. Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. 279(7), 108639.","mla":"Bao, Zhigang, et al. “Spectral Rigidity for Addition of Random Matrices at the Regular Edge.” <i>Journal of Functional Analysis</i>, vol. 279, no. 7, 108639, Elsevier, 2020, doi:<a href=\"https://doi.org/10.1016/j.jfa.2020.108639\">10.1016/j.jfa.2020.108639</a>.","short":"Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).","ieee":"Z. Bao, L. Erdös, and K. Schnelli, “Spectral rigidity for addition of random matrices at the regular edge,” <i>Journal of Functional Analysis</i>, vol. 279, no. 7. Elsevier, 2020.","chicago":"Bao, Zhigang, László Erdös, and Kevin Schnelli. “Spectral Rigidity for Addition of Random Matrices at the Regular Edge.” <i>Journal of Functional Analysis</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.jfa.2020.108639\">https://doi.org/10.1016/j.jfa.2020.108639</a>.","ama":"Bao Z, Erdös L, Schnelli K. Spectral rigidity for addition of random matrices at the regular edge. <i>Journal of Functional Analysis</i>. 2020;279(7). doi:<a href=\"https://doi.org/10.1016/j.jfa.2020.108639\">10.1016/j.jfa.2020.108639</a>","apa":"Bao, Z., Erdös, L., &#38; Schnelli, K. (2020). Spectral rigidity for addition of random matrices at the regular edge. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2020.108639\">https://doi.org/10.1016/j.jfa.2020.108639</a>"},"year":"2020","language":[{"iso":"eng"}],"keyword":["Analysis"],"month":"10","article_number":"108639","oa_version":"Preprint","project":[{"_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"Random matrices, universality and disordered quantum systems","grant_number":"338804"}],"publication":"Journal of Functional Analysis","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1708.01597"}],"oa":1,"publication_identifier":{"issn":["0022-1236"]},"date_published":"2020-10-15T00:00:00Z","type":"journal_article"},{"volume":269,"extern":"1","year":"2020","citation":{"chicago":"Koudjinan, Edmond. “A KAM Theorem for Finitely Differentiable Hamiltonian Systems.” <i>Journal of Differential Equations</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.jde.2020.03.044\">https://doi.org/10.1016/j.jde.2020.03.044</a>.","ieee":"E. Koudjinan, “A KAM theorem for finitely differentiable Hamiltonian systems,” <i>Journal of Differential Equations</i>, vol. 269, no. 6. Elsevier, pp. 4720–4750, 2020.","apa":"Koudjinan, E. (2020). A KAM theorem for finitely differentiable Hamiltonian systems. <i>Journal of Differential Equations</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jde.2020.03.044\">https://doi.org/10.1016/j.jde.2020.03.044</a>","ama":"Koudjinan E. A KAM theorem for finitely differentiable Hamiltonian systems. <i>Journal of Differential Equations</i>. 2020;269(6):4720-4750. doi:<a href=\"https://doi.org/10.1016/j.jde.2020.03.044\">10.1016/j.jde.2020.03.044</a>","ista":"Koudjinan E. 2020. A KAM theorem for finitely differentiable Hamiltonian systems. Journal of Differential Equations. 269(6), 4720–4750.","mla":"Koudjinan, Edmond. “A KAM Theorem for Finitely Differentiable Hamiltonian Systems.” <i>Journal of Differential Equations</i>, vol. 269, no. 6, Elsevier, 2020, pp. 4720–50, doi:<a href=\"https://doi.org/10.1016/j.jde.2020.03.044\">10.1016/j.jde.2020.03.044</a>.","short":"E. Koudjinan, Journal of Differential Equations 269 (2020) 4720–4750."},"date_updated":"2021-01-12T08:20:33Z","external_id":{"arxiv":["1909.04099"]},"day":"05","doi":"10.1016/j.jde.2020.03.044","arxiv":1,"abstract":[{"text":"Given l>2ν>2d≥4, we prove the persistence of a Cantor--family of KAM tori of measure O(ε1/2−ν/l) for any non--degenerate nearly integrable Hamiltonian system of class Cl(D×Td), where D⊂Rd is a bounded domain, provided that the size ε of the perturbation is sufficiently small. This extends a result by D. Salamon in \\cite{salamon2004kolmogorov} according to which we do have the persistence of a single KAM torus in the same framework. Moreover, it is well--known that, for the persistence of a single torus, the regularity assumption can not be improved.","lang":"eng"}],"quality_controlled":"1","page":"4720-4750","publisher":"Elsevier","article_type":"original","_id":"8691","issue":"6","author":[{"orcid":"0000-0003-2640-4049","full_name":"Koudjinan, Edmond","first_name":"Edmond","last_name":"Koudjinan","id":"52DF3E68-AEFA-11EA-95A4-124A3DDC885E"}],"article_processing_charge":"No","date_created":"2020-10-21T15:03:05Z","publication_status":"published","intvolume":"       269","title":"A KAM theorem for finitely differentiable Hamiltonian systems","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1909.04099"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","type":"journal_article","date_published":"2020-09-05T00:00:00Z","publication_identifier":{"issn":["0022-0396"]},"oa":1,"keyword":["Analysis"],"language":[{"iso":"eng"}],"publication":"Journal of Differential Equations","oa_version":"Preprint","month":"09"},{"language":[{"iso":"eng"}],"keyword":["Time series analysis","Multiple time scale analysis","Spike train data","Information theory","Bayesian decoding"],"month":"02","oa_version":"Published Version","project":[{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"publication":"Journal of Computational Neuroscience","has_accepted_license":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","file":[{"access_level":"open_access","relation":"supplementary_material","file_id":"7380","creator":"rcubero","date_created":"2020-01-28T09:31:09Z","file_size":1941355,"checksum":"036e9451d6cd0c190ad25791bf82393b","date_updated":"2020-07-14T12:47:56Z","content_type":"application/pdf","file_name":"10827_2020_740_MOESM1_ESM.pdf"},{"relation":"main_file","access_level":"open_access","creator":"rcubero","file_id":"7381","checksum":"4dd8b1fd4b54486f79d82ac7b2a412b2","file_size":3257880,"date_created":"2020-01-28T09:31:09Z","content_type":"application/pdf","file_name":"Cubero2020_Article_MultiscaleRelevanceAndInformat.pdf","date_updated":"2020-07-14T12:47:56Z"}],"oa":1,"publication_identifier":{"eissn":["1573-6873"],"issn":["0929-5313"]},"date_published":"2020-02-01T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","publisher":"Springer Nature","file_date_updated":"2020-07-14T12:47:56Z","page":"85-102","quality_controlled":"1","ec_funded":1,"title":"Multiscale relevance and informative encoding in neuronal spike trains","intvolume":"        48","publication_status":"published","department":[{"_id":"SaSi"}],"date_created":"2020-01-28T10:34:00Z","article_processing_charge":"Yes (via OA deal)","author":[{"id":"850B2E12-9CD4-11E9-837F-E719E6697425","full_name":"Cubero, Ryan J","orcid":"0000-0003-0002-1867","last_name":"Cubero","first_name":"Ryan J"},{"full_name":"Marsili, Matteo","last_name":"Marsili","first_name":"Matteo"},{"full_name":"Roudi, Yasser","first_name":"Yasser","last_name":"Roudi"}],"_id":"7369","scopus_import":"1","ddc":["004","519","570"],"acknowledgement":"This research was supported by the Kavli Foundation and the Centre of Excellence scheme of the Research Council of Norway (Centre for Neural Computation). RJC is currently receiving funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.","volume":48,"abstract":[{"lang":"eng","text":"Neuronal responses to complex stimuli and tasks can encompass a wide range of time scales. Understanding these responses requires measures that characterize how the information on these response patterns are represented across multiple temporal resolutions. In this paper we propose a metric – which we call multiscale relevance (MSR) – to capture the dynamical variability of the activity of single neurons across different time scales. The MSR is a non-parametric, fully featureless indicator in that it uses only the time stamps of the firing activity without resorting to any a priori covariate or invoking any specific structure in the tuning curve for neural activity. When applied to neural data from the mEC and from the ADn and PoS regions of freely-behaving rodents, we found that neurons having low MSR tend to have low mutual information and low firing sparsity across the correlates that are believed to be encoded by the region of the brain where the recordings were made. In addition, neurons with high MSR contain significant information on spatial navigation and allow to decode spatial position or head direction as efficiently as those neurons whose firing activity has high mutual information with the covariate to be decoded and significantly better than the set of neurons with high local variations in their interspike intervals. Given these results, we propose that the MSR can be used as a measure to rank and select neurons for their information content without the need to appeal to any a priori covariate."}],"doi":"10.1007/s10827-020-00740-x","day":"01","isi":1,"external_id":{"isi":["000515321800006"]},"date_updated":"2023-08-17T14:35:22Z","year":"2020","citation":{"ista":"Cubero RJ, Marsili M, Roudi Y. 2020. Multiscale relevance and informative encoding in neuronal spike trains. Journal of Computational Neuroscience. 48, 85–102.","mla":"Cubero, Ryan J., et al. “Multiscale Relevance and Informative Encoding in Neuronal Spike Trains.” <i>Journal of Computational Neuroscience</i>, vol. 48, Springer Nature, 2020, pp. 85–102, doi:<a href=\"https://doi.org/10.1007/s10827-020-00740-x\">10.1007/s10827-020-00740-x</a>.","short":"R.J. Cubero, M. Marsili, Y. Roudi, Journal of Computational Neuroscience 48 (2020) 85–102.","ieee":"R. J. Cubero, M. Marsili, and Y. Roudi, “Multiscale relevance and informative encoding in neuronal spike trains,” <i>Journal of Computational Neuroscience</i>, vol. 48. Springer Nature, pp. 85–102, 2020.","chicago":"Cubero, Ryan J, Matteo Marsili, and Yasser Roudi. “Multiscale Relevance and Informative Encoding in Neuronal Spike Trains.” <i>Journal of Computational Neuroscience</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10827-020-00740-x\">https://doi.org/10.1007/s10827-020-00740-x</a>.","ama":"Cubero RJ, Marsili M, Roudi Y. Multiscale relevance and informative encoding in neuronal spike trains. <i>Journal of Computational Neuroscience</i>. 2020;48:85-102. doi:<a href=\"https://doi.org/10.1007/s10827-020-00740-x\">10.1007/s10827-020-00740-x</a>","apa":"Cubero, R. J., Marsili, M., &#38; Roudi, Y. (2020). Multiscale relevance and informative encoding in neuronal spike trains. <i>Journal of Computational Neuroscience</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10827-020-00740-x\">https://doi.org/10.1007/s10827-020-00740-x</a>"}},{"keyword":["Matlab scripts","analysis of microfluidics","mathematical model"],"contributor":[{"id":"47F8433E-F248-11E8-B48F-1D18A9856A87","last_name":"Guet","contributor_type":"project_leader","first_name":"Calin C","orcid":"0000-0001-6220-2052"}],"file_date_updated":"2020-07-14T12:47:57Z","publisher":"Institute of Science and Technology Austria","author":[{"id":"483E70DE-F248-11E8-B48F-1D18A9856A87","last_name":"Grah","first_name":"Rok","full_name":"Grah, Rok","orcid":"0000-0003-2539-3560"}],"has_accepted_license":"1","_id":"7383","month":"01","title":"Matlab scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression regulation","article_processing_charge":"No","department":[{"_id":"CaGu"},{"_id":"GaTk"}],"date_created":"2020-01-28T10:41:49Z","oa_version":"Published Version","status":"public","related_material":{"record":[{"id":"7652","relation":"used_in_publication","status":"public"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"file_name":"Scripts.zip","content_type":"application/zip","date_updated":"2020-07-14T12:47:57Z","checksum":"9d292cf5207b3829225f44c044cdb3fd","file_size":73363365,"date_created":"2020-01-28T10:39:40Z","creator":"rgrah","file_id":"7384","relation":"main_file","access_level":"open_access"},{"date_updated":"2020-07-14T12:47:57Z","content_type":"text/plain","file_name":"READ_ME_MAIN.txt","date_created":"2020-01-28T10:39:30Z","checksum":"4076ceab32ef588cc233802bab24c1ab","file_size":962,"file_id":"7385","creator":"rgrah","relation":"main_file","access_level":"open_access"}],"type":"research_data","date_published":"2020-01-28T00:00:00Z","year":"2020","citation":{"ista":"Grah R. 2020. Matlab scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression regulation, Institute of Science and Technology Austria, <a href=\"https://doi.org/10.15479/AT:ISTA:7383\">10.15479/AT:ISTA:7383</a>.","mla":"Grah, Rok. <i>Matlab Scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression Regulation</i>. Institute of Science and Technology Austria, 2020, doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7383\">10.15479/AT:ISTA:7383</a>.","short":"R. Grah, (2020).","ieee":"R. Grah, “Matlab scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression regulation.” Institute of Science and Technology Austria, 2020.","chicago":"Grah, Rok. “Matlab Scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression Regulation.” Institute of Science and Technology Austria, 2020. <a href=\"https://doi.org/10.15479/AT:ISTA:7383\">https://doi.org/10.15479/AT:ISTA:7383</a>.","ama":"Grah R. Matlab scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression regulation. 2020. doi:<a href=\"https://doi.org/10.15479/AT:ISTA:7383\">10.15479/AT:ISTA:7383</a>","apa":"Grah, R. (2020). Matlab scripts for the Paper: Gene Amplification as a Form of Population-Level Gene Expression regulation. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT:ISTA:7383\">https://doi.org/10.15479/AT:ISTA:7383</a>"},"date_updated":"2024-02-21T12:42:31Z","oa":1,"abstract":[{"text":"Organisms cope with change by employing transcriptional regulators. However, when faced with rare environments, the evolution of transcriptional regulators and their promoters may be too slow. We ask whether the intrinsic instability of gene duplication and amplification provides a generic alternative to canonical gene regulation. By real-time monitoring of gene copy number mutations in E. coli, we show that gene duplications and amplifications enable adaptation to fluctuating environments by rapidly generating copy number, and hence expression level, polymorphism. This ‘amplification-mediated gene expression tuning’ occurs on timescales similar to canonical gene regulation and can deal with rapid environmental changes. Mathematical modeling shows that amplifications also tune gene expression in stochastic environments where transcription factor-based schemes are hard to evolve or maintain. The fleeting nature of gene amplifications gives rise to a generic population-level mechanism that relies on genetic heterogeneity to rapidly tune expression of any gene, without leaving any genomic signature.","lang":"eng"}],"day":"28","doi":"10.15479/AT:ISTA:7383"}]