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


 
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1. Title Title of document A note on large deviations for 2D Coulomb gas with weakly confining potential
 
2. Creator Author's name, affiliation, country Adrien Hardy; Université de Toulouse and Katholieke Universiteit Leuven; Belgium
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Large deviations; Coulomb gas; Random matrices; Compactification
 
3. Subject Subject classification 60F10; 60B20; 82B21
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2012-05-17
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1818
 
10. Identifier Digital Object Identifier 10.1214/ECP.v17-1818
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 17
 
12. Language English=en en
 
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