| Título: | A note on large deviations for 2D Coulomb gas with weakly confining potential |
| Autores: | Hardy, Adrien; Université de Toulouse and Katholieke Universiteit Leuven |
| Fecha: | 2012-01-02 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Large deviations; Coulomb gas; Random matrices; Compactification 60F10; 60B20; 82B21 |
| Descripción: | 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. |
| Idioma: | Inglés |
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