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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 where $τ\in[…
Dissipative Spectral Form Factor of the Complex Elliptic Ginibre Ensemble across Various Non-Hermiticity Regimes
Gernot Akemann, Sung-Soo Byun, Seungjoon Oh
We study the dissipative spectral form factor (DSFF) at complex time for the complex elliptic Ginibre ensemble with non-Hermiticity parameter . As the matrix…
Equilibrium measures for higher dimensional rotationally symmetric Riesz gases
Sung-Soo Byun, Peter J. Forrester, Satya N. Majumdar +1
We study equilibrium measures for Riesz gases in dimension with pairwise interaction kernel , subject to radially symmetric external fields. We characterise broad c…
Electrostatic computations for statistical mechanics and random matrix applications
Sung-Soo Byun, Peter J. Forrester
Although for the most part classical, the topic of electrostatics finds to this day new applications. In this review we highlight several theoretical results on electrostatics, cho…
Anomalous free energy expansions of planar Coulomb gases: multi-component and conformal singularity
Sung-Soo Byun
We study the partition function where $c>…
Spectral analysis of -deformed unitary ensembles with the Al-Salam--Carlitz weight
Sung-Soo Byun, Yeong-Gwang Jung, Jaeseong Oh
We study -deformed random unitary ensembles associated with the weight function of the Al-Salam--Carlitz orthogonal polynomials, indexed by a parameter . In the special c…
On the superintegrability of the Gaussian ensemble and its generalisation
Sung-Soo Byun, Peter J. Forrester
In the present context, superintegrability is a property of certain probability density functions coming from matrix models, which relates to the average over a distinguished basis…
Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges
Sung-Soo Byun, Peter J. Forrester, Sampad Lahiry
The one-component Coulomb gas on the sphere, consisting on unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength pr…
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 with the inverse temperature and external potential , where and . Equiv…
Spectral Moments of the real Ginibre ensemble
Sung-Soo Byun, Peter J. Forrester
The moments of the real eigenvalues of real Ginibre matrices are investigated from the viewpoint of explicit formulas, differential and difference equations, and large expansio…