TY - JOUR

T1 - Large Deviations for the Two-Dimensional Two-Component Plasma

AU - Leblé, Thomas

AU - Serfaty, Sylvia

AU - Zeitouni, Ofer

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84981164698&partnerID=8YFLogxK

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U2 - 10.1007/s00220-016-2735-3

DO - 10.1007/s00220-016-2735-3

M3 - Article

AN - SCOPUS:84981164698

VL - 350

SP - 301

EP - 360

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -