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

30Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

Abstract

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.

Cite

CITATION STYLE

APA

Hardy, A. (2012). A note on large deviations for 2D Coulomb gas with weakly confining potential. Electronic Communications in Probability, 17. https://doi.org/10.1214/ECP.v17-1818

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free