[{"date_published":"2017-11-01T00:00:00Z","publisher":"Institute of Mathematical Statistics","quality_controlled":"1","volume":53,"department":[{"_id":"LaEr"}],"page":"1606 - 1656","project":[{"name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"}],"abstract":[{"lang":"eng","text":"We show that the Dyson Brownian Motion exhibits local universality after a very short time assuming that local rigidity and level repulsion of the eigenvalues hold. These conditions are verified, hence bulk spectral universality is proven, for a large class of Wigner-like matrices, including deformed Wigner ensembles and ensembles with non-stochastic variance matrices whose limiting densities differ from Wigner's semicircle law."}],"publication_status":"published","doi":"10.1214/16-AIHP765","_id":"615","ec_funded":1,"year":"2017","publist_id":"7189","date_created":"2018-12-11T11:47:30Z","citation":{"short":"L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.","ama":"Erdös L, Schnelli K. Universality for random matrix flows with time dependent density. <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. 2017;53(4):1606-1656. doi:<a href=\"https://doi.org/10.1214/16-AIHP765\">10.1214/16-AIHP765</a>","ieee":"L. Erdös and K. Schnelli, “Universality for random matrix flows with time dependent density,” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>, vol. 53, no. 4. Institute of Mathematical Statistics, pp. 1606–1656, 2017.","mla":"Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>, vol. 53, no. 4, Institute of Mathematical Statistics, 2017, pp. 1606–56, doi:<a href=\"https://doi.org/10.1214/16-AIHP765\">10.1214/16-AIHP765</a>.","chicago":"Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute of Mathematical Statistics, 2017. <a href=\"https://doi.org/10.1214/16-AIHP765\">https://doi.org/10.1214/16-AIHP765</a>.","ista":"Erdös L, Schnelli K. 2017. Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. 53(4), 1606–1656.","apa":"Erdös, L., &#38; Schnelli, K. (2017). Universality for random matrix flows with time dependent density. <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/16-AIHP765\">https://doi.org/10.1214/16-AIHP765</a>"},"status":"public","type":"journal_article","publication_identifier":{"issn":["02460203"]},"month":"11","user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","oa_version":"Submitted Version","day":"01","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1504.00650"}],"author":[{"full_name":"Erdös, László","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","orcid":"0000-0001-5366-9603"},{"first_name":"Kevin","full_name":"Schnelli, Kevin","last_name":"Schnelli","id":"434AD0AE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-0954-3231"}],"publication":"Annales de l'institut Henri Poincare (B) Probability and Statistics","language":[{"iso":"eng"}],"intvolume":"        53","scopus_import":1,"issue":"4","oa":1,"date_updated":"2021-01-12T08:06:22Z","title":"Universality for random matrix flows with time dependent density"}]