{"ec_funded":1,"date_updated":"2024-07-04T11:20:30Z","main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2212.14638"}],"citation":{"mla":"Dubach, Guillaume, and Jana Reker. “Dynamics of a Rank-One Multiplicative Perturbation of a Unitary Matrix.” <i>Random Matrices: Theory and Applications</i>, World Scientific Publishing, 2024, doi:<a href=\"https://doi.org/10.1142/s2010326324500072\">10.1142/s2010326324500072</a>.","ista":"Dubach G, Reker J. 2024. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications.","short":"G. Dubach, J. Reker, Random Matrices: Theory and Applications (2024).","chicago":"Dubach, Guillaume, and Jana Reker. “Dynamics of a Rank-One Multiplicative Perturbation of a Unitary Matrix.” <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing, 2024. <a href=\"https://doi.org/10.1142/s2010326324500072\">https://doi.org/10.1142/s2010326324500072</a>.","ama":"Dubach G, Reker J. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. <i>Random Matrices: Theory and Applications</i>. 2024. doi:<a href=\"https://doi.org/10.1142/s2010326324500072\">10.1142/s2010326324500072</a>","apa":"Dubach, G., &#38; Reker, J. (2024). Dynamics of a rank-one multiplicative perturbation of a unitary matrix. <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s2010326324500072\">https://doi.org/10.1142/s2010326324500072</a>","ieee":"G. Dubach and J. Reker, “Dynamics of a rank-one multiplicative perturbation of a unitary matrix,” <i>Random Matrices: Theory and Applications</i>. World Scientific Publishing, 2024."},"doi":"10.1142/s2010326324500072","project":[{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"article_type":"original","title":"Dynamics of a rank-one multiplicative perturbation of a unitary matrix","type":"journal_article","quality_controlled":"1","abstract":[{"lang":"eng","text":"We provide a dynamical study of a model of multiplicative perturbation of a unitary matrix introduced by Fyodorov. In particular, we identify a flow of deterministic domains that bound the spectrum with high probability, separating the outlier from the typical eigenvalues at all sub-critical timescales. These results are obtained under generic assumptions on U that hold for a variety of unitary random matrix models."}],"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"year":"2024","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"day":"21","status":"public","_id":"17047","publication":"Random Matrices: Theory and Applications","date_created":"2024-05-23T08:31:57Z","external_id":{"arxiv":["2212.14638"]},"language":[{"iso":"eng"}],"author":[{"last_name":"Dubach","full_name":"Dubach, Guillaume","id":"D5C6A458-10C4-11EA-ABF4-A4B43DDC885E","orcid":"0000-0001-6892-8137","first_name":"Guillaume"},{"last_name":"Reker","full_name":"Reker, Jana","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","first_name":"Jana"}],"publisher":"World Scientific Publishing","oa_version":"Preprint","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"17164"}]},"month":"05","publication_identifier":{"issn":["2010-3263"],"eissn":["2010-3271"]},"publication_status":"epub_ahead","date_published":"2024-05-21T00:00:00Z","article_processing_charge":"No"}