Large-N asymptotic expansion for mean field models with Coulomb gas interaction

Published 23 Dec 2013 in math-ph, math.MP, and math.PR | (1312.6664v2)

Abstract: We derive the large-N, all order asymptotic expansion for a system of N particles with mean-field interactions on top of a Coulomb repulsion at temperature 1/\beta, under the assumptions that the interactions are analytic, off-critical, and satisfy a local strict convexity assumption.

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