Work

Free energy of spherical Coulomb gases with point charges

Year: 2025

Type: article

Abstract: We consider two‐dimensional Coulomb gases on the Riemann sphere with determinantal or Pfaffian structures, under external potentials that are invariant under rotations around the axis connecting the north and south poles, and with microscopic point charges inserted at the poles. These models can be interpreted as Coulomb gases on the complex plane with weakly confining potentials, where the associated droplet is the entire complex plane. For these models, we derive precise asymptotic expansions of the free energies, including the constant terms.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70294

Authors: Sung‐Soo Byun, Nam‐Gyu Kang, Seong‐Mi Seo, Meng Yang

Institutions: Seoul National University, Korea Institute for Advanced Study, Chungnam National University, Great Bay University

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930