Large Deviations for the Two-Dimensional Two-Component Plasma

被引：0

作者：

Thomas Leblé

Sylvia Serfaty

Ofer Zeitouni

机构：

[1] Sorbonne Universités,Courant Institute

[2] UPMC Univ. Paris 06,Department of Mathematics

[3] CNRS,undefined

[4] UMR 7598,undefined

[5] Laboratoire Jacques-Louis Lions,undefined

[6] Institut Universitaire de France,undefined

[7] New York University,undefined

[8] Weizmann Institute of Science,undefined

来源：

Communications in Mathematical Physics | 2017年 / 350卷

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摘要：

We derive a large deviations principle for the two-dimensional two-component plasma in a box. As a consequence, we obtain a variational representation for the free energy, and also show that the macroscopic empirical measure of either positive or negative charges converges to the uniform measure. An appendix, written by Wei Wu, discusses applications to the subcritical complex Gaussian multiplicative chaos.

引用

页码：301 / 360

页数：59

共 33 条

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