[{"file":[{"file_id":"14500","checksum":"54b824098d59073cc87a308d458b0a3e","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2023-11-07T09:16:23Z","file_name":"2023_ForumMathematics_Kwan.pdf","date_updated":"2023-11-07T09:16:23Z","file_size":1218719,"creator":"dernst"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2050-5086"]},"publication_status":"published","volume":11,"oa_version":"Published Version","abstract":[{"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.","lang":"eng"}],"month":"08","intvolume":" 11","scopus_import":"1","ddc":["510"],"date_updated":"2023-11-07T09:18:57Z","department":[{"_id":"MaKw"}],"file_date_updated":"2023-11-07T09:16:23Z","_id":"14499","status":"public","keyword":["Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Analysis"],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"24","publication":"Forum of Mathematics, Pi","has_accepted_license":"1","year":"2023","date_published":"2023-08-24T00:00:00Z","doi":"10.1017/fmp.2023.17","date_created":"2023-11-07T09:02:48Z","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.","publisher":"Cambridge University Press","quality_controlled":"1","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"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.","chicago":"Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi. Cambridge University Press, 2023. https://doi.org/10.1017/fmp.2023.17.","ama":"Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 2023;11. doi:10.1017/fmp.2023.17","apa":"Kwan, M. A., Sah, A., Sauermann, L., & Sawhney, M. (2023). Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. Cambridge University Press. https://doi.org/10.1017/fmp.2023.17","ieee":"M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture,” Forum of Mathematics, Pi, vol. 11. Cambridge University Press, 2023.","short":"M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11 (2023).","mla":"Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi, vol. 11, e21, Cambridge University Press, 2023, doi:10.1017/fmp.2023.17."},"title":"Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture","author":[{"last_name":"Kwan","full_name":"Kwan, Matthew Alan","orcid":"0000-0002-4003-7567","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3","first_name":"Matthew Alan"},{"last_name":"Sah","full_name":"Sah, Ashwin","first_name":"Ashwin"},{"full_name":"Sauermann, Lisa","last_name":"Sauermann","first_name":"Lisa"},{"last_name":"Sawhney","full_name":"Sawhney, Mehtaab","first_name":"Mehtaab"}],"external_id":{"arxiv":["2208.02874"]},"article_processing_charge":"Yes","article_number":"e21","project":[{"_id":"bd95085b-d553-11ed-ba76-e55d3349be45","name":"Randomness and structure in combinatorics","grant_number":"101076777"}]},{"title":"Local laws for multiplication of random matrices","external_id":{"arxiv":["2010.16083"]},"article_processing_charge":"No","author":[{"last_name":"Ding","full_name":"Ding, Xiucai","first_name":"Xiucai"},{"id":"dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d","first_name":"Hong Chang","last_name":"Ji","full_name":"Ji, Hong Chang"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Ding, Xiucai, and Hong Chang Ji. “Local Laws for Multiplication of Random Matrices.” The Annals of Applied Probability, vol. 33, no. 4, Institute of Mathematical Statistics, 2023, pp. 2981–3009, doi:10.1214/22-aap1882.","ieee":"X. Ding and H. C. Ji, “Local laws for multiplication of random matrices,” The Annals of Applied Probability, vol. 33, no. 4. Institute of Mathematical Statistics, pp. 2981–3009, 2023.","short":"X. Ding, H.C. Ji, The Annals of Applied Probability 33 (2023) 2981–3009.","apa":"Ding, X., & Ji, H. C. (2023). Local laws for multiplication of random matrices. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-aap1882","ama":"Ding X, Ji HC. Local laws for multiplication of random matrices. The Annals of Applied Probability. 2023;33(4):2981-3009. doi:10.1214/22-aap1882","chicago":"Ding, Xiucai, and Hong Chang Ji. “Local Laws for Multiplication of Random Matrices.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/22-aap1882.","ista":"Ding X, Ji HC. 2023. Local laws for multiplication of random matrices. The Annals of Applied Probability. 33(4), 2981–3009."},"project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"date_created":"2024-01-08T13:03:18Z","date_published":"2023-08-01T00:00:00Z","doi":"10.1214/22-aap1882","page":"2981-3009","publication":"The Annals of Applied Probability","day":"01","year":"2023","oa":1,"quality_controlled":"1","publisher":"Institute of Mathematical Statistics","acknowledgement":"The first author is partially supported by NSF Grant DMS-2113489 and grateful for the AMS-SIMONS travel grant (2020–2023). The second author is supported by the ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nThe authors would like to thank the Editor, Associate Editor and an anonymous referee for their many critical suggestions which have significantly improved the paper. We also want to thank Zhigang Bao and Ji Oon Lee for many helpful discussions and comments.","department":[{"_id":"LaEr"}],"date_updated":"2024-01-09T08:16:41Z","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability"],"status":"public","type":"journal_article","article_type":"original","_id":"14750","ec_funded":1,"volume":33,"issue":"4","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1050-5164"]},"intvolume":" 33","month":"08","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2010.16083","open_access":"1"}],"scopus_import":"1","oa_version":"Preprint","abstract":[{"text":"Consider the random matrix model A1/2UBU∗A1/2, where A and B are two N × N deterministic matrices and U is either an N × N Haar unitary or orthogonal random matrix. It is well known that on the macroscopic scale (Invent. Math. 104 (1991) 201–220), the limiting empirical spectral distribution (ESD) of the above model is given by the free multiplicative convolution\r\nof the limiting ESDs of A and B, denoted as μα \u0002 μβ, where μα and μβ are the limiting ESDs of A and B, respectively. In this paper, we study the asymptotic microscopic behavior of the edge eigenvalues and eigenvectors statistics. We prove that both the density of μA \u0002μB, where μA and μB are the ESDs of A and B, respectively and the associated subordination functions\r\nhave a regular behavior near the edges. Moreover, we establish the local laws near the edges on the optimal scale. In particular, we prove that the entries of the resolvent are close to some functionals depending only on the eigenvalues of A, B and the subordination functions with optimal convergence rates. Our proofs and calculations are based on the techniques developed for the additive model A+UBU∗ in (J. Funct. Anal. 271 (2016) 672–719; Comm. Math.\r\nPhys. 349 (2017) 947–990; Adv. Math. 319 (2017) 251–291; J. Funct. Anal. 279 (2020) 108639), and our results can be regarded as the counterparts of (J. Funct. Anal. 279 (2020) 108639) for the multiplicative model. ","lang":"eng"}]},{"date_updated":"2024-01-10T13:31:46Z","department":[{"_id":"LaEr"}],"_id":"14775","status":"public","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability"],"type":"journal_article","article_type":"original","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1050-5164"]},"publication_status":"published","volume":33,"issue":"1","ec_funded":1,"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We establish a quantitative version of the Tracy–Widom law for the largest eigenvalue of high-dimensional sample covariance matrices. To be precise, we show that the fluctuations of the largest eigenvalue of a sample covariance matrix X∗X converge to its Tracy–Widom limit at a rate nearly N−1/3, where X is an M×N random matrix whose entries are independent real or complex random variables, assuming that both M and N tend to infinity at a constant rate. This result improves the previous estimate N−2/9 obtained by Wang (2019). Our proof relies on a Green function comparison method (Adv. Math. 229 (2012) 1435–1515) using iterative cumulant expansions, the local laws for the Green function and asymptotic properties of the correlation kernel of the white Wishart ensemble."}],"month":"02","intvolume":" 33","scopus_import":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2108.02728"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Schnelli K, Xu Y. 2023. Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. 33(1), 677–725.","chicago":"Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom Laws for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/22-aap1826.","ama":"Schnelli K, Xu Y. Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. 2023;33(1):677-725. doi:10.1214/22-aap1826","apa":"Schnelli, K., & Xu, Y. (2023). Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-aap1826","short":"K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725.","ieee":"K. Schnelli and Y. Xu, “Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices,” The Annals of Applied Probability, vol. 33, no. 1. Institute of Mathematical Statistics, pp. 677–725, 2023.","mla":"Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom Laws for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals of Applied Probability, vol. 33, no. 1, Institute of Mathematical Statistics, 2023, pp. 677–725, doi:10.1214/22-aap1826."},"title":"Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices","author":[{"full_name":"Schnelli, Kevin","orcid":"0000-0003-0954-3231","last_name":"Schnelli","first_name":"Kevin","id":"434AD0AE-F248-11E8-B48F-1D18A9856A87"},{"id":"7902bdb1-a2a4-11eb-a164-c9216f71aea3","first_name":"Yuanyuan","last_name":"Xu","full_name":"Xu, Yuanyuan","orcid":"0000-0003-1559-1205"}],"external_id":{"isi":["000946432400021"],"arxiv":["2108.02728"]},"article_processing_charge":"No","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"day":"01","publication":"The Annals of Applied Probability","isi":1,"year":"2023","date_published":"2023-02-01T00:00:00Z","doi":"10.1214/22-aap1826","date_created":"2024-01-10T09:23:31Z","page":"677-725","acknowledgement":"K. Schnelli was supported by the Swedish Research Council Grants VR-2017-05195, and the Knut and Alice Wallenberg Foundation. Y. Xu was supported by the Swedish Research Council Grant VR-2017-05195 and the ERC Advanced Grant “RMTBeyond” No. 101020331.","publisher":"Institute of Mathematical Statistics","quality_controlled":"1","oa":1},{"title":"Spiked multiplicative random matrices and principal components","article_processing_charge":"Yes (in subscription journal)","external_id":{"arxiv":["2302.13502"],"isi":["001113615900001"]},"author":[{"first_name":"Xiucai","full_name":"Ding, Xiucai","last_name":"Ding"},{"last_name":"Ji","full_name":"Ji, Hong Chang","first_name":"Hong Chang","id":"dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 163, 25–60.","chicago":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” Stochastic Processes and Their Applications. Elsevier, 2023. https://doi.org/10.1016/j.spa.2023.05.009.","short":"X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60.","ieee":"X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal components,” Stochastic Processes and their Applications, vol. 163. Elsevier, pp. 25–60, 2023.","ama":"Ding X, Ji HC. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 2023;163:25-60. doi:10.1016/j.spa.2023.05.009","apa":"Ding, X., & Ji, H. C. (2023). Spiked multiplicative random matrices and principal components. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2023.05.009","mla":"Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and Principal Components.” Stochastic Processes and Their Applications, vol. 163, Elsevier, 2023, pp. 25–60, doi:10.1016/j.spa.2023.05.009."},"project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}],"date_created":"2024-01-10T09:29:25Z","doi":"10.1016/j.spa.2023.05.009","date_published":"2023-09-01T00:00:00Z","page":"25-60","publication":"Stochastic Processes and their Applications","day":"01","year":"2023","isi":1,"has_accepted_license":"1","oa":1,"quality_controlled":"1","publisher":"Elsevier","acknowledgement":"The authors would like to thank the editor, the associated editor and two anonymous referees for their many critical suggestions which have significantly improved the paper. The authors are also grateful to Zhigang Bao and Ji Oon Lee for many helpful discussions. The first author also wants to thank Hari Bercovici for many useful comments. The first author is partially supported by National Science Foundation DMS-2113489 and the second author is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","file_date_updated":"2024-01-16T08:47:31Z","department":[{"_id":"LaEr"}],"ddc":["510"],"date_updated":"2024-01-16T08:49:51Z","keyword":["Applied Mathematics","Modeling and Simulation","Statistics and Probability"],"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","_id":"14780","ec_funded":1,"volume":163,"language":[{"iso":"eng"}],"file":[{"checksum":"46a708b0cd5569a73d0f3d6c3e0a44dc","file_id":"14806","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file","date_created":"2024-01-16T08:47:31Z","file_name":"2023_StochasticProcAppl_Ding.pdf","date_updated":"2024-01-16T08:47:31Z","file_size":1870349,"creator":"dernst"}],"publication_status":"published","publication_identifier":{"issn":["0304-4149"],"eissn":["1879-209X"]},"intvolume":" 163","month":"09","oa_version":"Published Version","abstract":[{"lang":"eng","text":"In this paper, we study the eigenvalues and eigenvectors of the spiked invariant multiplicative models when the randomness is from Haar matrices. We establish the limits of the outlier eigenvalues λˆi and the generalized components (⟨v,uˆi⟩ for any deterministic vector v) of the outlier eigenvectors uˆi with optimal convergence rates. Moreover, we prove that the non-outlier eigenvalues stick with those of the unspiked matrices and the non-outlier eigenvectors are delocalized. The results also hold near the so-called BBP transition and for degenerate spikes. On one hand, our results can be regarded as a refinement of the counterparts of [12] under additional regularity conditions. On the other hand, they can be viewed as an analog of [34] by replacing the random matrix with i.i.d. entries with Haar random matrix."}]},{"type":"journal_article","article_type":"original","status":"public","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability"],"_id":"14849","department":[{"_id":"LaEr"}],"date_updated":"2024-01-23T10:56:30Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2206.04448","open_access":"1"}],"month":"11","intvolume":" 51","abstract":[{"lang":"eng","text":"We establish a precise three-term asymptotic expansion, with an optimal estimate of the error term, for the rightmost eigenvalue of an n×n random matrix with independent identically distributed complex entries as n tends to infinity. All terms in the expansion are universal."}],"oa_version":"Preprint","volume":51,"issue":"6","ec_funded":1,"publication_identifier":{"issn":["0091-1798"]},"publication_status":"published","language":[{"iso":"eng"}],"project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"author":[{"first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","last_name":"Cipolloni"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","last_name":"Erdös"},{"orcid":"0000-0002-2904-1856","full_name":"Schröder, Dominik J","last_name":"Schröder","first_name":"Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Yuanyuan","last_name":"Xu","full_name":"Xu, Yuanyuan"}],"article_processing_charge":"No","external_id":{"arxiv":["2206.04448"]},"title":"On the rightmost eigenvalue of non-Hermitian random matrices","citation":{"mla":"Cipolloni, Giorgio, et al. “On the Rightmost Eigenvalue of Non-Hermitian Random Matrices.” The Annals of Probability, vol. 51, no. 6, Institute of Mathematical Statistics, 2023, pp. 2192–242, doi:10.1214/23-aop1643.","apa":"Cipolloni, G., Erdös, L., Schröder, D. J., & Xu, Y. (2023). On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/23-aop1643","ama":"Cipolloni G, Erdös L, Schröder DJ, Xu Y. On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. 2023;51(6):2192-2242. doi:10.1214/23-aop1643","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.","ieee":"G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “On the rightmost eigenvalue of non-Hermitian random matrices,” The Annals of Probability, vol. 51, no. 6. Institute of Mathematical Statistics, pp. 2192–2242, 2023.","chicago":"Cipolloni, Giorgio, László Erdös, Dominik J Schröder, and Yuanyuan Xu. “On the Rightmost Eigenvalue of Non-Hermitian Random Matrices.” The Annals of Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/23-aop1643.","ista":"Cipolloni G, Erdös L, Schröder DJ, Xu Y. 2023. On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. 51(6), 2192–2242."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","publisher":"Institute of Mathematical Statistics","oa":1,"acknowledgement":"The second and the fourth author were supported by the ERC Advanced Grant\r\n“RMTBeyond” No. 101020331. The third author was supported by Dr. Max Rössler, the\r\nWalter Haefner Foundation and the ETH Zürich Foundation.","page":"2192-2242","doi":"10.1214/23-aop1643","date_published":"2023-11-01T00:00:00Z","date_created":"2024-01-22T08:08:41Z","year":"2023","day":"01","publication":"The Annals of Probability"},{"ddc":["510"],"date_updated":"2023-08-02T13:53:11Z","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"file_date_updated":"2022-01-19T09:27:43Z","_id":"10643","keyword":["computational mathematics","discrete mathematics and combinatorics","geometry and topology","mathematical physics","statistics and probability","algebra and number theory","theoretical computer science","analysis"],"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","language":[{"iso":"eng"}],"file":[{"checksum":"87592a755adcef22ea590a99dc728dd3","file_id":"10646","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2022-01-19T09:27:43Z","file_name":"2022_ForumMathSigma_Henheik.pdf","creator":"cchlebak","date_updated":"2022-01-19T09:27:43Z","file_size":705323}],"publication_status":"published","publication_identifier":{"eissn":["2050-5094"]},"ec_funded":1,"volume":10,"oa_version":"Published Version","abstract":[{"lang":"eng","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"}],"intvolume":" 10","month":"01","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma, vol. 10, e4, Cambridge University Press, 2022, doi:10.1017/fms.2021.80.","apa":"Henheik, S. J., & Teufel, S. (2022). Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2021.80","ama":"Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2021.80","ieee":"S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press, 2022.","short":"S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).","chicago":"Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma. Cambridge University Press, 2022. https://doi.org/10.1017/fms.2021.80.","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."},"title":"Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk","external_id":{"arxiv":["2012.15239"],"isi":["000743615000001"]},"article_processing_charge":"Yes","author":[{"full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha"},{"full_name":"Teufel, Stefan","last_name":"Teufel","first_name":"Stefan"}],"article_number":"e4","project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"publication":"Forum of Mathematics, Sigma","day":"18","year":"2022","isi":1,"has_accepted_license":"1","date_created":"2022-01-18T16:18:51Z","doi":"10.1017/fms.2021.80","date_published":"2022-01-18T00:00:00Z","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.","oa":1,"quality_controlled":"1","publisher":"Cambridge University Press"},{"date_published":"2022-10-01T00:00:00Z","doi":"10.1142/s2010326322500368","date_created":"2022-04-08T07:11:12Z","day":"01","publication":"Random Matrices: Theory and Applications","isi":1,"year":"2022","publisher":"World Scientific","quality_controlled":"1","oa":1,"title":"On the operator norm of a Hermitian random matrix with correlated entries","author":[{"first_name":"Jana","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","full_name":"Reker, Jana","last_name":"Reker"}],"article_processing_charge":"No","external_id":{"isi":["000848873800001"],"arxiv":["2103.03906"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated Entries.” Random Matrices: Theory and Applications. 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World Scientific, 2022.","short":"J. Reker, Random Matrices: Theory and Applications 11 (2022)."},"article_number":"2250036","volume":11,"issue":"4","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2010-3271"],"issn":["2010-3263"]},"publication_status":"published","month":"10","intvolume":" 11","scopus_import":"1","main_file_link":[{"url":" https://doi.org/10.48550/arXiv.2103.03906","open_access":"1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We consider a correlated NxN Hermitian random matrix with a polynomially decaying metric correlation structure. By calculating the trace of the moments of the matrix and using the summable decay of the cumulants, we show that its operator norm is stochastically dominated by one."}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"date_updated":"2023-08-03T06:32:22Z","status":"public","keyword":["Discrete Mathematics and Combinatorics","Statistics","Probability and Uncertainty","Statistics and Probability","Algebra and Number Theory"],"type":"journal_article","article_type":"original","_id":"11135"},{"volume":10,"ec_funded":1,"file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"checksum":"94a049aeb1eea5497aa097712a73c400","file_id":"12356","creator":"dernst","file_size":817089,"date_updated":"2023-01-24T10:02:40Z","file_name":"2022_ForumMath_Cipolloni.pdf","date_created":"2023-01-24T10:02:40Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2050-5094"]},"publication_status":"published","month":"10","intvolume":" 10","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","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."}],"file_date_updated":"2023-01-24T10:02:40Z","department":[{"_id":"LaEr"}],"ddc":["510"],"date_updated":"2023-08-04T09:00:35Z","status":"public","keyword":["Computational Mathematics","Discrete Mathematics and Combinatorics","Geometry and Topology","Mathematical Physics","Statistics and Probability","Algebra and Number Theory","Theoretical Computer Science","Analysis"],"article_type":"original","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"_id":"12148","date_published":"2022-10-27T00:00:00Z","doi":"10.1017/fms.2022.86","date_created":"2023-01-12T12:07:30Z","day":"27","publication":"Forum of Mathematics, Sigma","has_accepted_license":"1","isi":1,"year":"2022","publisher":"Cambridge University Press","quality_controlled":"1","oa":1,"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.","title":"Rank-uniform local law for Wigner matrices","author":[{"orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","last_name":"Cipolloni","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","orcid":"0000-0001-5366-9603","full_name":"Erdös, László"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","first_name":"Dominik J","last_name":"Schröder","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856"}],"article_processing_charge":"No","external_id":{"isi":["000873719200001"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner matrices,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press, 2022.","short":"G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).","ama":"Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86","apa":"Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2022.86","mla":"Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” Forum of Mathematics, Sigma, vol. 10, e96, Cambridge University Press, 2022, doi:10.1017/fms.2022.86.","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 10, e96.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform Local Law for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge University Press, 2022. https://doi.org/10.1017/fms.2022.86."},"project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"article_number":"e96"},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"ama":"Franceschini C, Gonçalves P, Sau F. Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics. Bernoulli. 2022;28(2):1340-1381. doi:10.3150/21-bej1390","apa":"Franceschini, C., Gonçalves, P., & Sau, F. (2022). Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics. Bernoulli. Bernoulli Society for Mathematical Statistics and Probability. https://doi.org/10.3150/21-bej1390","ieee":"C. Franceschini, P. Gonçalves, and F. Sau, “Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics,” Bernoulli, vol. 28, no. 2. Bernoulli Society for Mathematical Statistics and Probability, pp. 1340–1381, 2022.","short":"C. Franceschini, P. Gonçalves, F. Sau, Bernoulli 28 (2022) 1340–1381.","mla":"Franceschini, Chiara, et al. “Symmetric Inclusion Process with Slow Boundary: Hydrodynamics and Hydrostatics.” Bernoulli, vol. 28, no. 2, Bernoulli Society for Mathematical Statistics and Probability, 2022, pp. 1340–81, doi:10.3150/21-bej1390.","ista":"Franceschini C, Gonçalves P, Sau F. 2022. Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics. Bernoulli. 28(2), 1340–1381.","chicago":"Franceschini, Chiara, Patrícia Gonçalves, and Federico Sau. “Symmetric Inclusion Process with Slow Boundary: Hydrodynamics and Hydrostatics.” Bernoulli. Bernoulli Society for Mathematical Statistics and Probability, 2022. https://doi.org/10.3150/21-bej1390."},"title":"Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics","author":[{"last_name":"Franceschini","full_name":"Franceschini, Chiara","first_name":"Chiara"},{"last_name":"Gonçalves","full_name":"Gonçalves, Patrícia","first_name":"Patrícia"},{"id":"E1836206-9F16-11E9-8814-AEFDE5697425","first_name":"Federico","last_name":"Sau","full_name":"Sau, Federico"}],"external_id":{"arxiv":["2007.11998"],"isi":["000766619100025"]},"article_processing_charge":"No","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411"}],"day":"01","publication":"Bernoulli","isi":1,"year":"2022","doi":"10.3150/21-bej1390","date_published":"2022-05-01T00:00:00Z","date_created":"2023-01-16T10:03:04Z","page":"1340-1381","acknowledgement":"C.F. and P.G. thank FCT/Portugal for support through the project UID/MAT/04459/2013.\r\nThis project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovative programme (grant agreement No. 715734). F.S. was founded by the European Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie grant agreement No. 754411.\r\nF.S. wishes to thank Joe P. Chen for some fruitful discussions at an early stage of this work. F.S. thanks CAMGSD, IST, Lisbon, where part of this work has been done, and the European research and innovative programme No. 715734 for the kind hospitality.","publisher":"Bernoulli Society for Mathematical Statistics and Probability","quality_controlled":"1","oa":1,"date_updated":"2023-08-04T10:27:35Z","department":[{"_id":"JaMa"}],"_id":"12281","status":"public","keyword":["Statistics and Probability"],"type":"journal_article","article_type":"original","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1350-7265"]},"publication_status":"published","volume":28,"issue":"2","ec_funded":1,"oa_version":"Preprint","abstract":[{"text":"We study the hydrodynamic and hydrostatic limits of the one-dimensional open symmetric inclusion process with slow boundary. Depending on the value of the parameter tuning the interaction rate of the bulk of the system with the boundary, we obtain a linear heat equation with either Dirichlet, Robin or Neumann boundary conditions as hydrodynamic equation. In our approach, we combine duality and first-second class particle techniques to reduce the scaling limit of the inclusion process to the limiting behavior of a single, non-interacting, particle.","lang":"eng"}],"month":"05","intvolume":" 28","scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2007.11998","open_access":"1"}]},{"acknowledgement":"L. Erdős was supported by ERC Advanced Grant “RMTBeyond” No. 101020331. D. Schröder was supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.","oa":1,"quality_controlled":"1","publisher":"Institute of Mathematical Statistics","year":"2022","isi":1,"has_accepted_license":"1","publication":"Electronic Journal of Probability","day":"12","page":"1-38","date_created":"2023-01-16T10:04:38Z","doi":"10.1214/22-ejp838","date_published":"2022-09-12T00:00:00Z","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"}],"citation":{"chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Optimal Multi-Resolvent Local Laws for Wigner Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2022. https://doi.org/10.1214/22-ejp838.","ista":"Cipolloni G, Erdös L, Schröder DJ. 2022. Optimal multi-resolvent local laws for Wigner matrices. 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We find that the size of such products heavily depends on whether some of the deterministic matrices are traceless. Our estimates correctly account for this dependence and they hold optimally down to the smallest possible spectral scale.","lang":"eng"}],"oa_version":"Published Version","scopus_import":"1","intvolume":" 27","month":"09","publication_status":"published","publication_identifier":{"eissn":["1083-6489"]},"language":[{"iso":"eng"}],"file":[{"file_size":502149,"date_updated":"2023-01-30T11:59:21Z","creator":"dernst","file_name":"2022_ElecJournProbability_Cipolloni.pdf","date_created":"2023-01-30T11:59:21Z","content_type":"application/pdf","relation":"main_file","access_level":"open_access","success":1,"checksum":"bb647b48fbdb59361210e425c220cdcb","file_id":"12464"}],"ec_funded":1,"volume":27,"_id":"12290","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability"],"status":"public","date_updated":"2023-08-04T10:32:23Z","ddc":["510"],"file_date_updated":"2023-01-30T11:59:21Z","department":[{"_id":"LaEr"}]},{"publication_status":"epub_ahead","publication_identifier":{"issn":["2194-0401"],"eissn":["2194-041X"]},"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s40072-022-00277-3"}],"scopus_import":"1","month":"10","abstract":[{"text":"In this paper we consider the stochastic primitive equation for geophysical flows subject to transport noise and turbulent pressure. Admitting very rough noise terms, the global existence and uniqueness of solutions to this stochastic partial differential equation are proven using stochastic maximal L² regularity, the theory of critical spaces for stochastic evolution equations, and global a priori bounds. Compared to other results in this direction, we do not need any smallness assumption on the transport noise which acts directly on the velocity field and we also allow rougher noise terms. The adaptation to Stratonovich type noise and, more generally, to variable viscosity and/or conductivity are discussed as well.","lang":"eng"}],"oa_version":"Published Version","department":[{"_id":"JuFi"}],"date_updated":"2023-08-16T09:11:38Z","type":"journal_article","article_type":"original","keyword":["Applied Mathematics","Modeling and Simulation","Statistics and Probability"],"status":"public","_id":"12178","date_created":"2023-01-12T12:12:29Z","doi":"10.1007/s40072-022-00277-3","date_published":"2022-10-27T00:00:00Z","year":"2022","isi":1,"publication":"Stochastics and Partial Differential Equations: Analysis and Computations","day":"27","oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"The authors thank the anonymous referees for their helpful comments and suggestions. Open Access funding enabled and organized by Projekt DEAL.","article_processing_charge":"Yes (via OA deal)","external_id":{"isi":["000874389000001"]},"author":[{"first_name":"Antonio","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti","orcid":"0000-0002-9573-2962","full_name":"Agresti, Antonio"},{"first_name":"Matthias","last_name":"Hieber","full_name":"Hieber, Matthias"},{"first_name":"Amru","full_name":"Hussein, Amru","last_name":"Hussein"},{"last_name":"Saal","full_name":"Saal, Martin","first_name":"Martin"}],"title":"The stochastic primitive equations with transport noise and turbulent pressure","citation":{"ista":"Agresti A, Hieber M, Hussein A, Saal M. 2022. The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations.","chicago":"Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2022. https://doi.org/10.1007/s40072-022-00277-3.","ieee":"A. Agresti, M. Hieber, A. Hussein, and M. Saal, “The stochastic primitive equations with transport noise and turbulent pressure,” Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2022.","short":"A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential Equations: Analysis and Computations (2022).","apa":"Agresti, A., Hieber, M., Hussein, A., & Saal, M. (2022). The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature. https://doi.org/10.1007/s40072-022-00277-3","ama":"Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations. 2022. doi:10.1007/s40072-022-00277-3","mla":"Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations: Analysis and Computations, Springer Nature, 2022, doi:10.1007/s40072-022-00277-3."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"file":[{"success":1,"checksum":"01411ffa76d3e380a0446baeb89b1ef7","file_id":"12481","relation":"main_file","access_level":"open_access","content_type":"application/pdf","file_name":"2022_JourStatisticalMechanics_Mondelli.pdf","date_created":"2023-02-02T08:35:52Z","creator":"dernst","file_size":1729997,"date_updated":"2023-02-02T08:35:52Z"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1742-5468"]},"publication_status":"published","related_material":{"record":[{"relation":"earlier_version","id":"10598","status":"public"}]},"issue":"11","volume":2022,"oa_version":"Published Version","abstract":[{"text":"We consider the problem of estimating a signal from measurements obtained via a generalized linear model. We focus on estimators based on approximate message passing (AMP), a family of iterative algorithms with many appealing features: the performance of AMP in the high-dimensional limit can be succinctly characterized under suitable model assumptions; AMP can also be tailored to the empirical distribution of the signal entries, and for a wide class of estimation problems, AMP is conjectured to be optimal among all polynomial-time algorithms. However, a major issue of AMP is that in many models (such as phase retrieval), it requires an initialization correlated with the ground-truth signal and independent from the measurement matrix. Assuming that such an initialization is available is typically not realistic. In this paper, we solve this problem by proposing an AMP algorithm initialized with a spectral estimator. With such an initialization, the standard AMP analysis fails since the spectral estimator depends in a complicated way on the design matrix. Our main contribution is a rigorous characterization of the performance of AMP with spectral initialization in the high-dimensional limit. The key technical idea is to define and analyze a two-phase artificial AMP algorithm that first produces the spectral estimator, and then closely approximates the iterates of the true AMP. We also provide numerical results that demonstrate the validity of the proposed approach.","lang":"eng"}],"month":"11","intvolume":" 2022","scopus_import":"1","ddc":["510","530"],"date_updated":"2024-03-07T10:36:52Z","department":[{"_id":"MaMo"}],"file_date_updated":"2023-02-02T08:35:52Z","_id":"12480","status":"public","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability","Statistical and Nonlinear Physics"],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"day":"24","publication":"Journal of Statistical Mechanics: Theory and Experiment","isi":1,"has_accepted_license":"1","year":"2022","doi":"10.1088/1742-5468/ac9828","date_published":"2022-11-24T00:00:00Z","date_created":"2023-02-02T08:31:57Z","acknowledgement":"The authors would like to thank Andrea Montanari for helpful discussions.\r\nM Mondelli was partially supported by the 2019 Lopez-Loreta Prize. R Venkataramanan was partially supported by the Alan Turing Institute under the EPSRC Grant\r\nEP/N510129/1.","publisher":"IOP Publishing","quality_controlled":"1","oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing with Spectral Initialization for Generalized Linear Models.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2022, no. 11, 114003, IOP Publishing, 2022, doi:10.1088/1742-5468/ac9828.","short":"M. Mondelli, R. Venkataramanan, Journal of Statistical Mechanics: Theory and Experiment 2022 (2022).","ieee":"M. Mondelli and R. Venkataramanan, “Approximate message passing with spectral initialization for generalized linear models,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2022, no. 11. IOP Publishing, 2022.","ama":"Mondelli M, Venkataramanan R. Approximate message passing with spectral initialization for generalized linear models. Journal of Statistical Mechanics: Theory and Experiment. 2022;2022(11). doi:10.1088/1742-5468/ac9828","apa":"Mondelli, M., & Venkataramanan, R. (2022). Approximate message passing with spectral initialization for generalized linear models. Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ac9828","chicago":"Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing with Spectral Initialization for Generalized Linear Models.” Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing, 2022. https://doi.org/10.1088/1742-5468/ac9828.","ista":"Mondelli M, Venkataramanan R. 2022. Approximate message passing with spectral initialization for generalized linear models. Journal of Statistical Mechanics: Theory and Experiment. 2022(11), 114003."},"title":"Approximate message passing with spectral initialization for generalized linear models","author":[{"first_name":"Marco","id":"27EB676C-8706-11E9-9510-7717E6697425","last_name":"Mondelli","orcid":"0000-0002-3242-7020","full_name":"Mondelli, Marco"},{"last_name":"Venkataramanan","full_name":"Venkataramanan, Ramji","first_name":"Ramji"}],"external_id":{"isi":["000889589900001"]},"article_processing_charge":"Yes (via OA deal)","article_number":"114003","project":[{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}]},{"date_updated":"2023-08-07T13:46:28Z","ddc":["530"],"department":[{"_id":"MaSe"}],"file_date_updated":"2021-02-19T14:04:40Z","_id":"9158","type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability","Statistical and Nonlinear Physics"],"publication_identifier":{"issn":["1742-5468"]},"publication_status":"published","file":[{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"file_id":"9172","checksum":"64e2aae4837790db26e1dd1986c69c07","creator":"dernst","file_size":1693609,"date_updated":"2021-02-19T14:04:40Z","file_name":"2021_JourStatMech_deNicola.pdf","date_created":"2021-02-19T14:04:40Z"}],"language":[{"iso":"eng"}],"issue":"1","volume":2021,"ec_funded":1,"abstract":[{"text":"While several tools have been developed to study the ground state of many-body quantum spin systems, the limitations of existing techniques call for the exploration of new approaches. In this manuscript we develop an alternative analytical and numerical framework for many-body quantum spin ground states, based on the disentanglement formalism. In this approach, observables are exactly expressed as Gaussian-weighted functional integrals over scalar fields. We identify the leading contribution to these integrals, given by the saddle point of a suitable effective action. Analytically, we develop a field-theoretical expansion of the functional integrals, performed by means of appropriate Feynman rules. The expansion can be truncated to a desired order to obtain analytical approximations to observables. Numerically, we show that the disentanglement approach can be used to compute ground state expectation values from classical stochastic processes. While the associated fluctuations grow exponentially with imaginary time and the system size, this growth can be mitigated by means of an importance sampling scheme based on knowledge of the saddle point configuration. We illustrate the advantages and limitations of our methods by considering the quantum Ising model in 1, 2 and 3 spatial dimensions. Our analytical and numerical approaches are applicable to a broad class of systems, bridging concepts from quantum lattice models, continuum field theory, and classical stochastic processes.","lang":"eng"}],"oa_version":"Published Version","month":"01","intvolume":" 2021","citation":{"ama":"De Nicola S. Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory and Experiment. 2021;2021(1). doi:10.1088/1742-5468/abc7c7","apa":"De Nicola, S. (2021). Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/abc7c7","short":"S. De Nicola, Journal of Statistical Mechanics: Theory and Experiment 2021 (2021).","ieee":"S. De Nicola, “Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2021, no. 1. IOP Publishing, 2021.","mla":"De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2021, no. 1, 013101, IOP Publishing, 2021, doi:10.1088/1742-5468/abc7c7.","ista":"De Nicola S. 2021. Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory and Experiment. 2021(1), 013101.","chicago":"De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation.” Journal of Statistical Mechanics: Theory and Experiment. IOP Publishing, 2021. https://doi.org/10.1088/1742-5468/abc7c7."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","author":[{"last_name":"De Nicola","full_name":"De Nicola, Stefano","orcid":"0000-0002-4842-6671","first_name":"Stefano","id":"42832B76-F248-11E8-B48F-1D18A9856A87"}],"external_id":{"isi":["000605080300001"]},"article_processing_charge":"No","title":"Disentanglement approach to quantum spin ground states: Field theory and stochastic simulation","article_number":"013101","project":[{"name":"ISTplus - Postdoctoral Fellowships","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"isi":1,"has_accepted_license":"1","year":"2021","day":"05","publication":"Journal of Statistical Mechanics: Theory and Experiment","doi":"10.1088/1742-5468/abc7c7","date_published":"2021-01-05T00:00:00Z","date_created":"2021-02-17T17:48:46Z","acknowledgement":"S D N would like to thank M J Bhaseen, J Chalker, B Doyon, V Gritsev, A Lamacraft,\r\nA Michailidis and M Serbyn for helpful feedback and stimulating conversations. S D N\r\nacknowledges funding from the Institute of Science and Technology (IST) Austria, and\r\nfrom the European Union’s Horizon 2020 research and innovation program under the\r\nMarie Sk\blodowska-Curie Grant Agreement No. 754411. S D N also acknowledges funding\r\nfrom the EPSRC Center for Doctoral Training in Cross-Disciplinary Approaches to Non-\r\nEquilibrium Systems (CANES) under Grant EP/L015854/1. S D N is grateful to IST\r\nAustria for providing open access funding.","quality_controlled":"1","publisher":"IOP Publishing","oa":1},{"department":[{"_id":"GradSch"}],"date_updated":"2023-08-08T13:32:40Z","status":"public","keyword":["General Biochemistry","Genetics and Molecular Biology","Modelling and Simulation","Statistics and Probability","General Immunology and Microbiology","Applied Mathematics","General Agricultural and Biological Sciences","General Medicine"],"article_type":"original","type":"journal_article","_id":"9387","volume":524,"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-5193"]},"publication_status":"published","month":"04","intvolume":" 524","main_file_link":[{"open_access":"1","url":"https://www.biorxiv.org/content/10.1101/477489v1"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We report the complete analysis of a deterministic model of deleterious mutations and negative selection against them at two haploid loci without recombination. As long as mutation is a weaker force than selection, mutant alleles remain rare at the only stable equilibrium, and otherwise, a variety of dynamics are possible. If the mutation-free genotype is absent, generally the only stable equilibrium is the one that corresponds to fixation of the mutant allele at the locus where it is less deleterious. This result suggests that fixation of a deleterious allele that follows a click of the Muller’s ratchet is governed by natural selection, instead of random drift."}],"title":"Two linked loci under mutation-selection balance and Muller’s ratchet","author":[{"first_name":"Kseniia","id":"4E6DC800-AE37-11E9-AC72-31CAE5697425","full_name":"Khudiakova, Kseniia","orcid":"0000-0002-6246-1465","last_name":"Khudiakova"},{"first_name":"Tatiana Yu.","last_name":"Neretina","full_name":"Neretina, Tatiana Yu."},{"last_name":"Kondrashov","full_name":"Kondrashov, Alexey S.","first_name":"Alexey S."}],"article_processing_charge":"No","external_id":{"isi":["000659161500002"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Khudiakova, Kseniia, et al. “Two Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” Journal of Theoretical Biology, vol. 524, 110729, Elsevier , 2021, doi:10.1016/j.jtbi.2021.110729.","apa":"Khudiakova, K., Neretina, T. Y., & Kondrashov, A. S. (2021). Two linked loci under mutation-selection balance and Muller’s ratchet. Journal of Theoretical Biology. Elsevier . https://doi.org/10.1016/j.jtbi.2021.110729","ama":"Khudiakova K, Neretina TY, Kondrashov AS. Two linked loci under mutation-selection balance and Muller’s ratchet. Journal of Theoretical Biology. 2021;524. doi:10.1016/j.jtbi.2021.110729","ieee":"K. Khudiakova, T. Y. Neretina, and A. S. Kondrashov, “Two linked loci under mutation-selection balance and Muller’s ratchet,” Journal of Theoretical Biology, vol. 524. Elsevier , 2021.","short":"K. Khudiakova, T.Y. Neretina, A.S. Kondrashov, Journal of Theoretical Biology 524 (2021).","chicago":"Khudiakova, Kseniia, Tatiana Yu. Neretina, and Alexey S. Kondrashov. “Two Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” Journal of Theoretical Biology. Elsevier , 2021. https://doi.org/10.1016/j.jtbi.2021.110729.","ista":"Khudiakova K, Neretina TY, Kondrashov AS. 2021. Two linked loci under mutation-selection balance and Muller’s ratchet. Journal of Theoretical Biology. 524, 110729."},"article_number":"110729","date_published":"2021-04-24T00:00:00Z","doi":"10.1016/j.jtbi.2021.110729","date_created":"2021-05-12T05:58:42Z","day":"24","publication":"Journal of Theoretical Biology","isi":1,"year":"2021","quality_controlled":"1","publisher":"Elsevier ","oa":1,"acknowledgement":"This work was supported by the Russian Science Foundation grant N 16-14-10173."},{"day":"01","publication":"Bioinformatics","year":"2020","date_published":"2020-12-01T00:00:00Z","doi":"10.1093/bioinformatics/btaa843","date_created":"2023-08-21T12:28:20Z","page":"i919-i927","publisher":"Oxford University Press","quality_controlled":"1","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Stark, Stefan G., et al. “SCIM: Universal Single-Cell Matching with Unpaired Feature Sets.” Bioinformatics, vol. 36, no. Supplement_2, Oxford University Press, 2020, pp. i919–27, doi:10.1093/bioinformatics/btaa843.","apa":"Stark, S. G., Ficek, J., Locatello, F., Bonilla, X., Chevrier, S., Singer, F., … Lehmann, K.-V. (2020). SCIM: Universal single-cell matching with unpaired feature sets. Bioinformatics. Oxford University Press. https://doi.org/10.1093/bioinformatics/btaa843","ama":"Stark SG, Ficek J, Locatello F, et al. SCIM: Universal single-cell matching with unpaired feature sets. Bioinformatics. 2020;36(Supplement_2):i919-i927. doi:10.1093/bioinformatics/btaa843","short":"S.G. Stark, J. Ficek, F. Locatello, X. Bonilla, S. Chevrier, F. Singer, R. Aebersold, F.S. Al-Quaddoomi, J. Albinus, I. Alborelli, S. Andani, P.-O. Attinger, M. Bacac, D. Baumhoer, B. Beck-Schimmer, N. Beerenwinkel, C. Beisel, L. Bernasconi, A. Bertolini, B. Bodenmiller, X. Bonilla, R. Casanova, S. Chevrier, N. Chicherova, M. D’Costa, E. Danenberg, N. Davidson, M.-A.D. gan, R. Dummer, S. Engler, M. Erkens, K. Eschbach, C. Esposito, A. Fedier, P. Ferreira, J. Ficek, A.L. Frei, B. Frey, S. Goetze, L. Grob, G. Gut, D. Günther, M. Haberecker, P. Haeuptle, V. Heinzelmann-Schwarz, S. Herter, R. Holtackers, T. Huesser, A. Irmisch, F. Jacob, A. Jacobs, T.M. Jaeger, K. Jahn, A.R. James, P.M. Jermann, A. Kahles, A. Kahraman, V.H. Koelzer, W. Kuebler, J. Kuipers, C.P. Kunze, C. Kurzeder, K.-V. Lehmann, M. Levesque, S. Lugert, G. Maass, M. Manz, P. Markolin, J. Mena, U. Menzel, J.M. Metzler, N. Miglino, E.S. Milani, H. Moch, S. Muenst, R. Murri, C.K. Ng, S. Nicolet, M. Nowak, P.G. Pedrioli, L. Pelkmans, S. Piscuoglio, M. Prummer, M. Ritter, C. Rommel, M.L. Rosano-González, G. Rätsch, N. Santacroce, J.S. del Castillo, R. Schlenker, P.C. Schwalie, S. Schwan, T. Schär, G. Senti, F. Singer, S. Sivapatham, B. Snijder, B. Sobottka, V.T. Sreedharan, S. Stark, D.J. Stekhoven, A.P. Theocharides, T.M. Thomas, M. Tolnay, V. Tosevski, N.C. Toussaint, M.A. Tuncel, M. Tusup, A.V. Drogen, M. Vetter, T. Vlajnic, S. Weber, W.P. Weber, R. Wegmann, M. Weller, F. Wendt, N. Wey, A. Wicki, B. Wollscheid, S. Yu, J. Ziegler, M. Zimmermann, M. Zoche, G. Zuend, G. Rätsch, K.-V. Lehmann, Bioinformatics 36 (2020) i919–i927.","ieee":"S. G. Stark et al., “SCIM: Universal single-cell matching with unpaired feature sets,” Bioinformatics, vol. 36, no. Supplement_2. Oxford University Press, pp. i919–i927, 2020.","chicago":"Stark, Stefan G, Joanna Ficek, Francesco Locatello, Ximena Bonilla, Stéphane Chevrier, Franziska Singer, Rudolf Aebersold, et al. “SCIM: Universal Single-Cell Matching with Unpaired Feature Sets.” Bioinformatics. Oxford University Press, 2020. https://doi.org/10.1093/bioinformatics/btaa843.","ista":"Stark SG et al. 2020. SCIM: Universal single-cell matching with unpaired feature sets. Bioinformatics. 36(Supplement_2), i919–i927."},"title":"SCIM: Universal single-cell matching with unpaired feature sets","author":[{"last_name":"Stark","full_name":"Stark, Stefan G","first_name":"Stefan G"},{"last_name":"Ficek","full_name":"Ficek, Joanna","first_name":"Joanna"},{"last_name":"Locatello","orcid":"0000-0002-4850-0683","full_name":"Locatello, Francesco","first_name":"Francesco","id":"26cfd52f-2483-11ee-8040-88983bcc06d4"},{"full_name":"Bonilla, Ximena","last_name":"Bonilla","first_name":"Ximena"},{"first_name":"Stéphane","full_name":"Chevrier, Stéphane","last_name":"Chevrier"},{"full_name":"Singer, Franziska","last_name":"Singer","first_name":"Franziska"},{"last_name":"Aebersold","full_name":"Aebersold, Rudolf","first_name":"Rudolf"},{"full_name":"Al-Quaddoomi, Faisal S","last_name":"Al-Quaddoomi","first_name":"Faisal S"},{"first_name":"Jonas","full_name":"Albinus, Jonas","last_name":"Albinus"},{"first_name":"Ilaria","last_name":"Alborelli","full_name":"Alborelli, Ilaria"},{"last_name":"Andani","full_name":"Andani, Sonali","first_name":"Sonali"},{"first_name":"Per-Olof","full_name":"Attinger, Per-Olof","last_name":"Attinger"},{"last_name":"Bacac","full_name":"Bacac, Marina","first_name":"Marina"},{"first_name":"Daniel","last_name":"Baumhoer","full_name":"Baumhoer, Daniel"},{"full_name":"Beck-Schimmer, Beatrice","last_name":"Beck-Schimmer","first_name":"Beatrice"},{"last_name":"Beerenwinkel","full_name":"Beerenwinkel, Niko","first_name":"Niko"},{"full_name":"Beisel, Christian","last_name":"Beisel","first_name":"Christian"},{"full_name":"Bernasconi, Lara","last_name":"Bernasconi","first_name":"Lara"},{"first_name":"Anne","last_name":"Bertolini","full_name":"Bertolini, Anne"},{"first_name":"Bernd","last_name":"Bodenmiller","full_name":"Bodenmiller, Bernd"},{"first_name":"Ximena","full_name":"Bonilla, Ximena","last_name":"Bonilla"},{"last_name":"Casanova","full_name":"Casanova, 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Van","last_name":"Drogen"},{"last_name":"Vetter","full_name":"Vetter, Marcus","first_name":"Marcus"},{"full_name":"Vlajnic, Tatjana","last_name":"Vlajnic","first_name":"Tatjana"},{"first_name":"Sandra","last_name":"Weber","full_name":"Weber, Sandra"},{"first_name":"Walter P","last_name":"Weber","full_name":"Weber, Walter P"},{"last_name":"Wegmann","full_name":"Wegmann, Rebekka","first_name":"Rebekka"},{"last_name":"Weller","full_name":"Weller, Michael","first_name":"Michael"},{"first_name":"Fabian","full_name":"Wendt, Fabian","last_name":"Wendt"},{"last_name":"Wey","full_name":"Wey, Norbert","first_name":"Norbert"},{"last_name":"Wicki","full_name":"Wicki, Andreas","first_name":"Andreas"},{"last_name":"Wollscheid","full_name":"Wollscheid, Bernd","first_name":"Bernd"},{"first_name":"Shuqing","full_name":"Yu, Shuqing","last_name":"Yu"},{"first_name":"Johanna","last_name":"Ziegler","full_name":"Ziegler, Johanna"},{"first_name":"Marc","last_name":"Zimmermann","full_name":"Zimmermann, Marc"},{"first_name":"Martin","full_name":"Zoche, Martin","last_name":"Zoche"},{"full_name":"Zuend, Gregor","last_name":"Zuend","first_name":"Gregor"},{"first_name":"Gunnar","last_name":"Rätsch","full_name":"Rätsch, Gunnar"},{"first_name":"Kjong-Van","last_name":"Lehmann","full_name":"Lehmann, Kjong-Van"}],"article_processing_charge":"No","external_id":{"pmid":["33381818"]},"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1367-4811"]},"publication_status":"published","issue":"Supplement_2","related_material":{"link":[{"url":"https://github.com/ratschlab/scim","relation":"software"}]},"volume":36,"pmid":1,"oa_version":"Published Version","abstract":[{"lang":"eng","text":"Motivation: Recent technological advances have led to an increase in the production and availability of single-cell data. The ability to integrate a set of multi-technology measurements would allow the identification of biologically or clinically meaningful observations through the unification of the perspectives afforded by each technology. In most cases, however, profiling technologies consume the used cells and thus pairwise correspondences between datasets are lost. Due to the sheer size single-cell datasets can acquire, scalable algorithms that are able to universally match single-cell measurements carried out in one cell to its corresponding sibling in another technology are needed.\r\nResults: We propose Single-Cell data Integration via Matching (SCIM), a scalable approach to recover such correspondences in two or more technologies. SCIM assumes that cells share a common (low-dimensional) underlying structure and that the underlying cell distribution is approximately constant across technologies. It constructs a technology-invariant latent space using an autoencoder framework with an adversarial objective. Multi-modal datasets are integrated by pairing cells across technologies using a bipartite matching scheme that operates on the low-dimensional latent representations. We evaluate SCIM on a simulated cellular branching process and show that the cell-to-cell matches derived by SCIM reflect the same pseudotime on the simulated dataset. Moreover, we apply our method to two real-world scenarios, a melanoma tumor sample and a human bone marrow sample, where we pair cells from a scRNA dataset to their sibling cells in a CyTOF dataset achieving 90% and 78% cell-matching accuracy for each one of the samples, respectively."}],"month":"12","intvolume":" 36","scopus_import":"1","main_file_link":[{"url":"https://doi.org/10.1093/bioinformatics/btaa843","open_access":"1"}],"extern":"1","date_updated":"2023-09-11T10:21:00Z","department":[{"_id":"FrLo"}],"_id":"14125","status":"public","keyword":["Computational Mathematics","Computational Theory and Mathematics","Computer Science Applications","Molecular Biology","Biochemistry","Statistics and Probability"],"article_type":"original","type":"journal_article"},{"citation":{"ista":"Kaloshin V, Sorrentino A. 2018. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. 188(1), 315–380.","chicago":"Kaloshin, Vadim, and Alfonso Sorrentino. “On the Local Birkhoff Conjecture for Convex Billiards.” Annals of Mathematics. Annals of Mathematics, Princeton U, 2018. https://doi.org/10.4007/annals.2018.188.1.6.","short":"V. Kaloshin, A. Sorrentino, Annals of Mathematics 188 (2018) 315–380.","ieee":"V. Kaloshin and A. Sorrentino, “On the local Birkhoff conjecture for convex billiards,” Annals of Mathematics, vol. 188, no. 1. Annals of Mathematics, Princeton U, pp. 315–380, 2018.","ama":"Kaloshin V, Sorrentino A. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. 2018;188(1):315-380. doi:10.4007/annals.2018.188.1.6","apa":"Kaloshin, V., & Sorrentino, A. (2018). On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. Annals of Mathematics, Princeton U. https://doi.org/10.4007/annals.2018.188.1.6","mla":"Kaloshin, Vadim, and Alfonso Sorrentino. “On the Local Birkhoff Conjecture for Convex Billiards.” Annals of Mathematics, vol. 188, no. 1, Annals of Mathematics, Princeton U, 2018, pp. 315–80, doi:10.4007/annals.2018.188.1.6."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim","last_name":"Kaloshin","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","first_name":"Vadim"},{"first_name":"Alfonso","full_name":"Sorrentino, Alfonso","last_name":"Sorrentino"}],"article_processing_charge":"No","external_id":{"arxiv":["1612.09194"]},"title":"On the local Birkhoff conjecture for convex billiards","quality_controlled":"1","publisher":"Annals of Mathematics, Princeton U","oa":1,"year":"2018","day":"01","publication":"Annals of Mathematics","page":"315-380","doi":"10.4007/annals.2018.188.1.6","date_published":"2018-07-01T00:00:00Z","date_created":"2020-09-17T10:42:22Z","_id":"8421","type":"journal_article","article_type":"original","status":"public","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability"],"date_updated":"2021-01-12T08:19:10Z","extern":"1","abstract":[{"text":"The classical Birkhoff conjecture claims that the boundary of a strictly convex integrable billiard table is necessarily an ellipse (or a circle as a special case). In this article we prove a complete local version of this conjecture: a small integrable perturbation of an ellipse must be an ellipse. This extends and completes the result in Avila-De Simoi-Kaloshin, where nearly circular domains were considered. One of the crucial ideas in the proof is to extend action-angle coordinates for elliptic billiards into complex domains (with respect to the angle), and to thoroughly analyze the nature of their complex singularities. As an application, we are able to prove some spectral rigidity results for elliptic domains.","lang":"eng"}],"oa_version":"Preprint","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1612.09194"}],"month":"07","intvolume":" 188","publication_identifier":{"issn":["0003-486X"]},"publication_status":"published","language":[{"iso":"eng"}],"volume":188,"issue":"1"},{"publication":"ACM Transactions on Economics and Computation","day":"02","year":"2015","date_created":"2022-07-27T12:43:18Z","doi":"10.1145/2716312","date_published":"2015-12-02T00:00:00Z","acknowledgement":"We would like to thank Veronika Loitzenbauer and the anonymous referees for their valuable feedback.","quality_controlled":"1","publisher":"Association for Computing Machinery","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Dütting, Paul, et al. “An Expressive Mechanism for Auctions on the Web.” ACM Transactions on Economics and Computation, vol. 4, no. 1, 1, Association for Computing Machinery, 2015, doi:10.1145/2716312.","apa":"Dütting, P., Henzinger, M. H., & Weber, I. (2015). An expressive mechanism for auctions on the web. ACM Transactions on Economics and Computation. Association for Computing Machinery. https://doi.org/10.1145/2716312","ama":"Dütting P, Henzinger MH, Weber I. An expressive mechanism for auctions on the web. ACM Transactions on Economics and Computation. 2015;4(1). doi:10.1145/2716312","short":"P. Dütting, M.H. Henzinger, I. Weber, ACM Transactions on Economics and Computation 4 (2015).","ieee":"P. Dütting, M. H. Henzinger, and I. Weber, “An expressive mechanism for auctions on the web,” ACM Transactions on Economics and Computation, vol. 4, no. 1. Association for Computing Machinery, 2015.","chicago":"Dütting, Paul, Monika H Henzinger, and Ingmar Weber. “An Expressive Mechanism for Auctions on the Web.” ACM Transactions on Economics and Computation. Association for Computing Machinery, 2015. https://doi.org/10.1145/2716312.","ista":"Dütting P, Henzinger MH, Weber I. 2015. An expressive mechanism for auctions on the web. ACM Transactions on Economics and Computation. 4(1), 1."},"title":"An expressive mechanism for auctions on the web","article_processing_charge":"No","author":[{"first_name":"Paul","full_name":"Dütting, Paul","last_name":"Dütting"},{"id":"540c9bbd-f2de-11ec-812d-d04a5be85630","first_name":"Monika H","last_name":"Henzinger","full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530"},{"last_name":"Weber","full_name":"Weber, Ingmar","first_name":"Ingmar"}],"article_number":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"eissn":["2167-8383"],"issn":["2167-8375"]},"issue":"1","volume":4,"oa_version":"None","abstract":[{"lang":"eng","text":"Auctions are widely used on the Web. Applications range from sponsored search to platforms such as eBay. In these and in many other applications the auctions in use are single-/multi-item auctions with unit demand. The main drawback of standard mechanisms for this type of auctions, such as VCG and GSP, is the limited expressiveness that they offer to the bidders. The General Auction Mechanism (GAM) of Aggarwal et al. [2009] takes a first step toward addressing the problem of limited expressiveness by computing a bidder optimal, envy-free outcome for linear utility functions with identical slopes and a single discontinuity per bidder-item pair. We show that in many practical situations this does not suffice to adequately model the preferences of the bidders, and we overcome this problem by presenting the first mechanism for piecewise linear utility functions with nonidentical slopes and multiple discontinuities. Our mechanism runs in polynomial time. Like GAM it is incentive compatible for inputs that fulfill a certain nondegeneracy assumption, but our requirement is more general than the requirement of GAM. For discontinuous utility functions that are nondegenerate as well as for continuous utility functions the outcome of our mechanism is a competitive equilibrium. We also show how our mechanism can be used to compute approximately bidder optimal, envy-free outcomes for a general class of continuous utility functions via piecewise linear approximation. Finally, we prove hardness results for even more expressive settings."}],"intvolume":" 4","month":"12","scopus_import":"1","extern":"1","date_updated":"2023-02-09T10:08:41Z","_id":"11670","keyword":["Computational Mathematics","Marketing","Economics and Econometrics","Statistics and Probability","Computer Science (miscellaneous)"],"status":"public","article_type":"original","type":"journal_article"},{"type":"journal_article","article_type":"original","keyword":["Statistics and Probability","Computational Theory and Mathematics","Biochemistry","Molecular Biology","Computational Mathematics","Computer Science Applications"],"status":"public","_id":"8459","date_updated":"2021-01-12T08:19:25Z","extern":"1","intvolume":" 30","month":"08","abstract":[{"text":"Nuclear magnetic resonance (NMR) is a powerful tool for observing the motion of biomolecules at the atomic level. One technique, the analysis of relaxation dispersion phenomenon, is highly suited for studying the kinetics and thermodynamics of biological processes. Built on top of the relax computational environment for NMR dynamics is a new dispersion analysis designed to be comprehensive, accurate and easy-to-use. The software supports more models, both numeric and analytic, than current solutions. An automated protocol, available for scripting and driving the graphical user interface (GUI), is designed to simplify the analysis of dispersion data for NMR spectroscopists. Decreases in optimization time are granted by parallelization for running on computer clusters and by skipping an initial grid search by using parameters from one solution as the starting point for another —using analytic model results for the numeric models, taking advantage of model nesting, and using averaged non-clustered results for the clustered analysis.","lang":"eng"}],"oa_version":"None","related_material":{"link":[{"relation":"erratum","url":"https://doi.org/10.1093/bioinformatics/btz397"}]},"volume":30,"issue":"15","publication_status":"published","publication_identifier":{"issn":["1367-4803","1460-2059"]},"language":[{"iso":"eng"}],"article_processing_charge":"No","author":[{"first_name":"Sébastien","full_name":"Morin, Sébastien","last_name":"Morin"},{"full_name":"Linnet, Troels E","last_name":"Linnet","first_name":"Troels E"},{"first_name":"Mathilde","last_name":"Lescanne","full_name":"Lescanne, Mathilde"},{"last_name":"Schanda","full_name":"Schanda, Paul","orcid":"0000-0002-9350-7606","id":"7B541462-FAF6-11E9-A490-E8DFE5697425","first_name":"Paul"},{"full_name":"Thompson, Gary S","last_name":"Thompson","first_name":"Gary S"},{"last_name":"Tollinger","full_name":"Tollinger, Martin","first_name":"Martin"},{"full_name":"Teilum, Kaare","last_name":"Teilum","first_name":"Kaare"},{"first_name":"Stéphane","full_name":"Gagné, Stéphane","last_name":"Gagné"},{"full_name":"Marion, Dominique","last_name":"Marion","first_name":"Dominique"},{"full_name":"Griesinger, Christian","last_name":"Griesinger","first_name":"Christian"},{"full_name":"Blackledge, Martin","last_name":"Blackledge","first_name":"Martin"},{"first_name":"Edward J","full_name":"d’Auvergne, Edward J","last_name":"d’Auvergne"}],"title":"Relax: The analysis of biomolecular kinetics and thermodynamics using NMR relaxation dispersion data","citation":{"ista":"Morin S, Linnet TE, Lescanne M, Schanda P, Thompson GS, Tollinger M, Teilum K, Gagné S, Marion D, Griesinger C, Blackledge M, d’Auvergne EJ. 2014. Relax: The analysis of biomolecular kinetics and thermodynamics using NMR relaxation dispersion data. Bioinformatics. 30(15), 2219–2220.","chicago":"Morin, Sébastien, Troels E Linnet, Mathilde Lescanne, Paul Schanda, Gary S Thompson, Martin Tollinger, Kaare Teilum, et al. “Relax: The Analysis of Biomolecular Kinetics and Thermodynamics Using NMR Relaxation Dispersion Data.” Bioinformatics. Oxford University Press, 2014. https://doi.org/10.1093/bioinformatics/btu166.","ieee":"S. Morin et al., “Relax: The analysis of biomolecular kinetics and thermodynamics using NMR relaxation dispersion data,” Bioinformatics, vol. 30, no. 15. Oxford University Press, pp. 2219–2220, 2014.","short":"S. Morin, T.E. Linnet, M. Lescanne, P. Schanda, G.S. Thompson, M. Tollinger, K. Teilum, S. Gagné, D. Marion, C. Griesinger, M. Blackledge, E.J. d’Auvergne, Bioinformatics 30 (2014) 2219–2220.","apa":"Morin, S., Linnet, T. E., Lescanne, M., Schanda, P., Thompson, G. S., Tollinger, M., … d’Auvergne, E. J. (2014). Relax: The analysis of biomolecular kinetics and thermodynamics using NMR relaxation dispersion data. Bioinformatics. Oxford University Press. https://doi.org/10.1093/bioinformatics/btu166","ama":"Morin S, Linnet TE, Lescanne M, et al. Relax: The analysis of biomolecular kinetics and thermodynamics using NMR relaxation dispersion data. Bioinformatics. 2014;30(15):2219-2220. doi:10.1093/bioinformatics/btu166","mla":"Morin, Sébastien, et al. “Relax: The Analysis of Biomolecular Kinetics and Thermodynamics Using NMR Relaxation Dispersion Data.” Bioinformatics, vol. 30, no. 15, Oxford University Press, 2014, pp. 2219–20, doi:10.1093/bioinformatics/btu166."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","publisher":"Oxford University Press","page":"2219-2220","date_created":"2020-09-18T10:08:07Z","doi":"10.1093/bioinformatics/btu166","date_published":"2014-08-01T00:00:00Z","year":"2014","publication":"Bioinformatics","day":"01"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","citation":{"ista":"Kaloshin V. 1999. An extension of the Artin-Mazur theorem. The Annals of Mathematics. 150(2), 729–741.","chicago":"Kaloshin, Vadim. “An Extension of the Artin-Mazur Theorem.” The Annals of Mathematics. JSTOR, 1999. https://doi.org/10.2307/121093.","ieee":"V. Kaloshin, “An extension of the Artin-Mazur theorem,” The Annals of Mathematics, vol. 150, no. 2. JSTOR, pp. 729–741, 1999.","short":"V. Kaloshin, The Annals of Mathematics 150 (1999) 729–741.","ama":"Kaloshin V. An extension of the Artin-Mazur theorem. The Annals of Mathematics. 1999;150(2):729-741. doi:10.2307/121093","apa":"Kaloshin, V. (1999). An extension of the Artin-Mazur theorem. The Annals of Mathematics. JSTOR. https://doi.org/10.2307/121093","mla":"Kaloshin, Vadim. “An Extension of the Artin-Mazur Theorem.” The Annals of Mathematics, vol. 150, no. 2, JSTOR, 1999, pp. 729–41, doi:10.2307/121093."},"date_updated":"2021-01-12T08:19:53Z","title":"An extension of the Artin-Mazur theorem","article_processing_charge":"No","author":[{"orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim","last_name":"Kaloshin","first_name":"Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425"}],"_id":"8526","keyword":["Statistics","Probability and Uncertainty","Statistics and Probability"],"status":"public","article_type":"original","type":"journal_article","language":[{"iso":"eng"}],"publication":"The Annals of Mathematics","day":"01","year":"1999","publication_status":"published","publication_identifier":{"issn":["0003-486X"]},"date_created":"2020-09-18T10:50:28Z","volume":150,"doi":"10.2307/121093","issue":"2","date_published":"1999-09-01T00:00:00Z","page":"729-741","oa_version":"None","intvolume":" 150","month":"09","publisher":"JSTOR","quality_controlled":"1"}]