Title: A Note on Large Deviations for 2D Coulomb Gas with Weakly Confining Potential
Authors: Hardy, Adrien # ×
Issue Date: 17-May-2012
Publisher: University of Washington
Series Title: Electronic Communications in Probability vol:17 pages:1-12
Article number: 19
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.
ISSN: 1083-589X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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