BULK UNIVERSALITY FOR ONE-DIMENSIONAL LOG-GASES

被引：0
|
作者：
Bourgade, P. [1 ]
机构：
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
来源：
XVIITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS | 2014年
关键词：
beta-ensembles; universality; log-gas; MATRIX MODELS; ORTHOGONAL POLYNOMIALS; ASYMPTOTICS; RESPECT;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this note we consider beta-ensembles with real analytic potential and arbitrary inverse temperature beta, and review some recent universality results for these measures, obtained in joint works with L. Erdos and H.-T. Yau. In the limit of a large number of particles, the local eigenvalues statistics in the bulk are universal: they coincide with the spacing statistics for the Gaussian beta-ensembles. We also discuss the proof of the rigidity of the particles up to the optimal scale N-1+epsilon.
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页码：404 / 416
页数：13
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