Asymptotics of the partition function for β-ensembles at high temperature
Abstract
We consider the real β-ensemble (or 1D log-gas) of dimension N in the high-temperature regime, i.e. where the inverse temperature β scales as Nβ=2P, with P a fixed positive parameter. We establish the large-N asymptotic expansion at all orders of the partition function: ZN[V]=∫RN∏i
Fields of Study & Subjects
Graph theory and applications
Advanced Combinatorial Mathematics
Bayesian Methods and Mixture Models
Publication details
- Journal / source
- Electronic Journal of Probability
- Volume
- 31
- Issue
- none
- Publication date
- 1 January 2026
- Language
- EN