{"date_published":"2017-11-01T00:00:00Z","ec_funded":1,"publisher":"Institute of Mathematical Statistics","year":"2017","day":"01","intvolume":"        53","language":[{"iso":"eng"}],"publist_id":"7189","issue":"4","oa_version":"Submitted Version","main_file_link":[{"url":"https://arxiv.org/abs/1504.00650","open_access":"1"}],"title":"Universality for random matrix flows with time dependent density","quality_controlled":"1","scopus_import":1,"citation":{"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>","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.","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>.","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>.","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>","short":"L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656."},"date_created":"2018-12-11T11:47:30Z","month":"11","department":[{"_id":"LaEr"}],"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","oa":1,"page":"1606 - 1656","project":[{"name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"}],"status":"public","publication_identifier":{"issn":["02460203"]},"volume":53,"date_updated":"2021-01-12T08:06:22Z","type":"journal_article","publication_status":"published","publication":"Annales de l'institut Henri Poincare (B) Probability and Statistics","abstract":[{"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.","lang":"eng"}],"doi":"10.1214/16-AIHP765","author":[{"full_name":"Erdös, László","first_name":"László","orcid":"0000-0001-5366-9603","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"434AD0AE-F248-11E8-B48F-1D18A9856A87","last_name":"Schnelli","orcid":"0000-0003-0954-3231","first_name":"Kevin","full_name":"Schnelli, Kevin"}],"_id":"615"}