A note on large deviations for 2D Coulomb gas with weakly confining potential

Adrien Hardy (Université de Toulouse and Katholieke Universiteit Leuven)


We investigate a Coulomb gas in a potential satisfying a weaker growth assumption than usual and establish a large deviation principle for its empirical measure. As a consequence the empirical measure is seen to converge towards a non-random limiting measure, characterized by a variational principle from logarithmic potential theory, which may not have compact support. The proof of the large deviation upper bound is based on a compactification procedure which may be of help for further large deviation principles.

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Pages: 1-12

Publication Date: May 17, 2012

DOI: 10.1214/ECP.v17-1818


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