TY - JOUR
T1 - Large Deviations for the Two-Dimensional Two-Component Plasma
AU - Leblé, Thomas
AU - Serfaty, Sylvia
AU - Zeitouni, Ofer
N1 - Publisher Copyright:
© 2016, Springer-Verlag Berlin Heidelberg.
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.
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U2 - 10.1007/s00220-016-2735-3
DO - 10.1007/s00220-016-2735-3
M3 - Article
AN - SCOPUS:84981164698
SN - 0010-3616
VL - 350
SP - 301
EP - 360
JO - Communications In Mathematical Physics
JF - Communications In Mathematical Physics
IS - 1
ER -