1 citations · 1 across the 4 of their papers we have counts for
6 papers
-deformation of the Marchenko-Pastur law
Sung-Soo Byun, Yeong-Gwang Jung, Guido Mazzuca
We study a -deformed random unitary ensemble associated with the little- Laguerre weight, which provides a discrete analogue of the classical Laguerre unitary ensemble. In th…
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…
Orthogonal polynomials in the spherical ensemble with two insertions
Sung-Soo Byun, Peter J. Forrester, Arno B. J. Kuijlaars +1
We consider asymptotics of planar orthogonal polynomials (where ) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \q…
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…