Translator Disclaimer
2012 A note on large deviations for 2D Coulomb gas with weakly confining potential
Adrien Hardy
Author Affiliations +
Electron. Commun. Probab. 17: 1-12 (2012). DOI: 10.1214/ECP.v17-1818

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.

Citation

Download Citation

Adrien Hardy. "A note on large deviations for 2D Coulomb gas with weakly confining potential." Electron. Commun. Probab. 17 1 - 12, 2012. https://doi.org/10.1214/ECP.v17-1818

Information

Accepted: 17 May 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1258.60027
MathSciNet: MR2926763
Digital Object Identifier: 10.1214/ECP.v17-1818

Subjects:
Primary: 60F10
Secondary: 60B20, 82B21

JOURNAL ARTICLE
12 PAGES


SHARE
Back to Top