Free energy analyticity of the disordered XY and 2D Coulomb gas models.

Organisé par

Institut Henri Poincaré

In this talk, I will consider three models of statistical mechanics: the classical XY model in arbitrary dimension, the lattice Coulomb gas in dimension two, and the square well model in arbitrary dimension. For each of these three models, we prove that the free energy is analytic in the disordered regime (the square well model is disordered at any positive temperature). In order to prove these re

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