Meng Yang

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20242026

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3 papers · 1 filter

math-ph2026

Free energy expansion of determinantal Coulomb gases in the quadratic fields with a point charge

Sung-Soo Byun, Meng Yang, Eui Yoo

We study a determinantal Coulomb gas in the complex plane associated with the external potential $Q (z) = \frac{1}{1 - τ ^{2}} (∣ z ∣^{2} - τ Re z^{2}) - 2 c lo g ∣ z - a ∣,$ where $τ\in[…

math-ph2025

Free energy of spherical Coulomb gases with point charges

Sung-Soo Byun, Nam-Gyu Kang, Seong-Mi Seo +1

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 a…

math-ph2024

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Sung-Soo Byun, Seong-Mi Seo, Meng Yang

We consider a planar Coulomb gas ensemble of size $N$ with the inverse temperature $β = 2$ and external potential $Q (z) = ∣ z ∣^{2} - 2 c lo g ∣ z - a ∣$ , where $c > 0$ and $a \in C$ . Equiv…