[{"abstract":[{"lang":"eng"}],"quality_controlled":0,"intvolume":" 53","month":"09","publication_status":"published","dc":{"title":["Bulk universality of general β-ensembles with non-convex potential"],"creator":["Bourgade, Paul","László Erdös","Yau, Horng-Tzer"],"rights":["info:eu-repo/semantics/closedAccess"],"publisher":["American Institute of Physics"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"date":["2012"],"identifier":["https://research-explorer.ista.ac.at/record/2778"],"description":["We prove the bulk universality of the β-ensembles with non-convex regular analytic potentials for any β > 0. This removes the convexity assumption appeared in the earlier work [P. Bourgade, L. Erdös, and H.-T. Yau, Universality of general β-ensembles, preprint arXiv:0907.5605 (2011)]. The convexity condition enabled us to use the logarithmic Sobolev inequality to estimate events with small probability. The new idea is to introduce a "convexified measure" so that the local statistics are preserved under this convexification."],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4751478"],"source":["Bourgade P, Erdös L, Yau H. Bulk universality of general β-ensembles with non-convex potential. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.4751478"]},"publication":"Journal of Mathematical Physics","day":"28","uri_base":"https://research-explorer.ista.ac.at","date_created":"2018-12-11T11:59:33Z","date_published":"2012-09-28T00:00:00Z","volume":53,"issue":"9","_id":"2778","type":"journal_article","status":"public","citation":{"mla":"Bourgade, Paul, et al. “Bulk Universality of General β-Ensembles with Non-Convex Potential.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.4751478.","apa":"Bourgade, P., Erdös, L., & Yau, H. (2012). Bulk universality of general β-ensembles with non-convex potential. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.4751478","short":"P. Bourgade, L. Erdös, H. Yau, Journal of Mathematical Physics 53 (2012).","ieee":"P. Bourgade, L. Erdös, and H. Yau, “Bulk universality of general β-ensembles with non-convex potential,” Journal of Mathematical Physics, vol. 53, no. 9. American Institute of Physics, 2012.","chicago":"Bourgade, Paul, László Erdös, and Horng Yau. “Bulk Universality of General β-Ensembles with Non-Convex Potential.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.4751478.","ista":"Bourgade P, Erdös L, Yau H. 2012. Bulk universality of general β-ensembles with non-convex potential. Journal of Mathematical Physics. 53(9)."},"dini_type":"doc-type:article","date_updated":"2021-01-12T06:59:38Z","extern":1,"publist_id":"4112","author":[{"last_name":"Bourgade","first_name":"Paul"},{"last_name":"Erdös","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"},{"first_name":"Horng","last_name":"Yau"}]}]