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arxiv: 1312.6664 · v2 · pith:SAAY5PSCnew · submitted 2013-12-23 · 🧮 math-ph · math.MP· math.PR

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

classification 🧮 math-ph math.MPmath.PR
keywords 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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