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

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.

• Publication year

  2012

• Venue

  Electronic Communications in Probability

• Publication date

  2012-02-13

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1214/ECP.v17-1818arXiv 1202.2809
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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