%0 Journal Article
%T Logarithmic potential theory and large deviation
%+ University of Toronto
%+ Indiana University [Bloomington]
%+ Institut de Mathématiques de Marseille (I2M)
%A Bloom, Thomas
%A Levenberg, Norman
%A Wielonsky, Franck
%< avec comité de lecture
%@ 1617-9447
%J Computational Methods and Function Theory
%I Springer
%V 15
%N 4
%P 555-594
%8 2015
%D 2015
%Z 1407.7481
%R 10.1007/s40315-015-0120-4
%Z MSC: 60F10, 31B15
%Z Mathematics [math]/Probability [math.PR]Journal articles
%X We derive a general large deviation principle for a canonical sequence of probability measures, having its origins in random matrix theory, on unbounded sets K of C with weakly admissible external fields Q and very general measures. on K. For this we use logarithmic potential theory in R-n, n >= 2, and a standard contraction principle in large deviation theory which we apply from the two-dimensional sphere in R-3 to the complex plane C.
%G English
%2 https://hal.science/hal-01266133/document
%2 https://hal.science/hal-01266133/file/1407.7481.pdf
%L hal-01266133
%U https://hal.science/hal-01266133
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ INSMI
%~ I2M
%~ I2M-2014-