Asymptotics for partition functions of random normal matrix models with singularities

Kohei Noda

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arXiv · 2609.25307

Asymptotics for partition functions of random normal matrix models with singularities

Kohei Noda

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Abstract

We study determinantal planar Coulomb gases with a smooth radial potential, a smooth radial perturbation, jump-type singularities (including the bulk, semi-hard, hard, and soft-edge regimes), and a hard wall region given by a centered disk, a disk complement, or an annulus. We obtain explicit asymptotic expansions of the partition functions up to and including the term of order $1$. Our results unify and generalize many of the earlier works.

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Kohei Noda. 2026-09-21. Asymptotics for partition functions of random normal matrix models with singularities. https://arxiv.org/abs/2609.25307

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