{"quality_controlled":"1","title":"Edge universality of beta ensembles","status":"public","oa_version":"Submitted Version","oa":1,"user_id":"4435EBFC-F248-11E8-B48F-1D18A9856A87","date_created":"2018-12-11T11:54:48Z","publisher":"Springer","scopus_import":1,"date_published":"2014-11-01T00:00:00Z","publication_status":"published","issue":"1","department":[{"_id":"LaEr"}],"abstract":[{"text":"We prove the edge universality of the beta ensembles for any β ≥ 1, provided that the limiting spectrum is supported on a single interval, and the external potential is C4 and regular. We also prove that the edge universality holds for generalized Wigner matrices for all symmetry classes. Moreover, our results allow us to extend bulk universality for beta ensembles from analytic potentials to potentials in class C4.","lang":"eng"}],"main_file_link":[{"url":"http://arxiv.org/abs/1306.5728","open_access":"1"}],"type":"journal_article","day":"01","month":"11","date_updated":"2021-01-12T06:54:12Z","project":[{"_id":"25BDE9A4-B435-11E9-9278-68D0E5697425","name":"Glutamaterge synaptische Übertragung und Plastizität in hippocampalen Mikroschaltkreisen","grant_number":"SFB-TR3-TP10B"}],"intvolume":"       332","volume":332,"publist_id":"5158","year":"2014","citation":{"ieee":"P. Bourgade, L. Erdös, and H. Yau, “Edge universality of beta ensembles,” <i>Communications in Mathematical Physics</i>, vol. 332, no. 1. Springer, pp. 261–353, 2014.","mla":"Bourgade, Paul, et al. “Edge Universality of Beta Ensembles.” <i>Communications in Mathematical Physics</i>, vol. 332, no. 1, Springer, 2014, pp. 261–353, doi:<a href=\"https://doi.org/10.1007/s00220-014-2120-z\">10.1007/s00220-014-2120-z</a>.","short":"P. Bourgade, L. Erdös, H. Yau, Communications in Mathematical Physics 332 (2014) 261–353.","chicago":"Bourgade, Paul, László Erdös, and Horngtzer Yau. “Edge Universality of Beta Ensembles.” <i>Communications in Mathematical Physics</i>. Springer, 2014. <a href=\"https://doi.org/10.1007/s00220-014-2120-z\">https://doi.org/10.1007/s00220-014-2120-z</a>.","apa":"Bourgade, P., Erdös, L., &#38; Yau, H. (2014). Edge universality of beta ensembles. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-014-2120-z\">https://doi.org/10.1007/s00220-014-2120-z</a>","ista":"Bourgade P, Erdös L, Yau H. 2014. Edge universality of beta ensembles. Communications in Mathematical Physics. 332(1), 261–353.","ama":"Bourgade P, Erdös L, Yau H. Edge universality of beta ensembles. <i>Communications in Mathematical Physics</i>. 2014;332(1):261-353. doi:<a href=\"https://doi.org/10.1007/s00220-014-2120-z\">10.1007/s00220-014-2120-z</a>"},"_id":"1937","language":[{"iso":"eng"}],"publication":"Communications in Mathematical Physics","author":[{"full_name":"Bourgade, Paul","first_name":"Paul","last_name":"Bourgade"},{"orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Horngtzer","last_name":"Yau","full_name":"Yau, Horngtzer"}],"page":"261 - 353","doi":"10.1007/s00220-014-2120-z"}