{"title":"Characteristic polynomials of random truncations: Moments, duality and asymptotics","month":"01","date_updated":"2024-07-15T07:59:31Z","acknowledgement":"N.S. gratefully acknowledges financial support of the Royal Society, grant URF/R1/180707. We would like to thank Emma Bailey, Yan Fyodorov and Jordan Stoyanov for helpful comments an an earlier version of this paper. We are grateful for the comments of an anonymous referee.","article_processing_charge":"No","scopus_import":"1","article_number":"2250049","date_created":"2024-05-29T06:14:26Z","citation":{"chicago":"Serebryakov, Alexander, Nick Simm, and Guillaume Dubach. “Characteristic Polynomials of Random Truncations: Moments, Duality and Asymptotics.” <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing, 2023. <a href=\"https://doi.org/10.1142/s2010326322500496\">https://doi.org/10.1142/s2010326322500496</a>.","apa":"Serebryakov, A., Simm, N., &#38; Dubach, G. (2023). Characteristic polynomials of random truncations: Moments, duality and asymptotics. <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s2010326322500496\">https://doi.org/10.1142/s2010326322500496</a>","ama":"Serebryakov A, Simm N, Dubach G. Characteristic polynomials of random truncations: Moments, duality and asymptotics. <i>Random Matrices: Theory and Applications</i>. 2023;12(01). doi:<a href=\"https://doi.org/10.1142/s2010326322500496\">10.1142/s2010326322500496</a>","ieee":"A. Serebryakov, N. Simm, and G. Dubach, “Characteristic polynomials of random truncations: Moments, duality and asymptotics,” <i>Random Matrices: Theory and Applications</i>, vol. 12, no. 01. World Scientific Publishing, 2023.","short":"A. Serebryakov, N. Simm, G. Dubach, Random Matrices: Theory and Applications 12 (2023).","ista":"Serebryakov A, Simm N, Dubach G. 2023. Characteristic polynomials of random truncations: Moments, duality and asymptotics. Random Matrices: Theory and Applications. 12(01), 2250049.","mla":"Serebryakov, Alexander, et al. “Characteristic Polynomials of Random Truncations: Moments, Duality and Asymptotics.” <i>Random Matrices: Theory and Applications</i>, vol. 12, no. 01, 2250049, World Scientific Publishing, 2023, doi:<a href=\"https://doi.org/10.1142/s2010326322500496\">10.1142/s2010326322500496</a>."},"type":"journal_article","oa_version":"Preprint","department":[{"_id":"LaEr"}],"status":"public","article_type":"original","publisher":"World Scientific Publishing","issue":"01","year":"2023","abstract":[{"text":"We study moments of characteristic polynomials of truncated Haar distributed matrices from the three classical compact groups O(N), U(N) and Sp(2N). For finite matrix size we calculate the moments in terms of hypergeometric functions of matrix argument and give explicit integral representations highlighting the duality between the moment and the matrix size as well as the duality between the orthogonal and symplectic cases. Asymptotic expansions in strong and weak non-unitarity regimes are obtained. Using the connection to matrix hypergeometric functions, we establish limit theorems for the log-modulus of the characteristic polynomial evaluated on the unit circle.","lang":"eng"}],"publication_identifier":{"eissn":["2010-3271"],"issn":["2010-3263"]},"doi":"10.1142/s2010326322500496","author":[{"full_name":"Serebryakov, Alexander","last_name":"Serebryakov","first_name":"Alexander"},{"last_name":"Simm","full_name":"Simm, Nick","first_name":"Nick"},{"first_name":"Guillaume","id":"D5C6A458-10C4-11EA-ABF4-A4B43DDC885E","orcid":"0000-0001-6892-8137","last_name":"Dubach","full_name":"Dubach, Guillaume"}],"volume":12,"_id":"17079","external_id":{"arxiv":["2109.10331"]},"date_published":"2023-01-01T00:00:00Z","publication":"Random Matrices: Theory and Applications","publication_status":"published","day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"        12","quality_controlled":"1","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2109.10331","open_access":"1"}]}