Large-N asymptotic expansion for mean field models with Coulomb gas interaction
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🧮 math-ph
math.MPmath.PR
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asymptoticcoulombexpansioninteractionslarge-nanalyticassumptionassumptions
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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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