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

   
@article{ECP1818,
	author = {Adrien Hardy},
	title = {A note on large deviations for 2D Coulomb gas with weakly confining potential},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {Large deviations; Coulomb gas; Random matrices; Compactification},
	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.
},
	pages = {no. 19, 1-12},
	issn = {1083-589X},
	doi = {10.1214/ECP.v17-1818},    
        url = {http://ecp.ejpecp.org/article/view/1818}}