Generic Regularity of Equilibrium Measures for the Logarithmic Potential with External Fields
Abstract
Abstract A well-known conjecture in the theory of Coulomb gases and the mean-field limit of $$\beta $$ β -ensembles asserts that, generically, external potentials are “off-critical” (or equivalently, “regular”). By exploiting the connection between minimizing measures and thin obstacle problems, we establish this conjecture.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Publication details
- Journal / source
- Communications in Mathematical Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 407
- Issue
- 9
- Publication date
- 1 August 2026
- Language
- EN