Derives all-order large-N asymptotics for the β-ensemble partition function Z_N[V] with Nβ=2P fixed, using loop equations on the thermal equilibrium measure supported on the whole line.
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Asymptotics of the partition function for $\beta$-ensembles at high temperature
Derives all-order large-N asymptotics for the β-ensemble partition function Z_N[V] with Nβ=2P fixed, using loop equations on the thermal equilibrium measure supported on the whole line.