MICROSCOPIC DENSITIES AND FOCK-SOBOLEV SPACES

被引：2

作者：

Ameur, Yacin ^{[1
]}

Seo, Seong-Mi ^{[2
]}

机构：

[1] Lund Univ, Fac Sci, Dept Math, POB 118, S-22100 Lund, Sweden

[2] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2019年 / 139卷 / 01期

关键词：

KERNEL;

D O I：

10.1007/s11854-019-0055-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study two-dimensional eigenvalue ensembles close to certain types of singular points in the interior of the droplet. We prove existence of a microscopic density which quickly approaches the equilibrium density, as the distance from the singularity increases beyond the microscopic scale. This kind of asymptotic is used to analyze normal matrix models in [3]. In addition, we obtain here asymptotics for the Bergman function of certain Fock-Sobolev spaces of entire functions.

引用

页码：397 / 420

页数：24

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