Bulk Universality of General β-Ensembles with Non-convex Potential
نویسندگان
چکیده
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 [6]. 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. AMS Subject Classification (2010): 15B52, 82B44
منابع مشابه
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تاریخ انتشار 2012