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20182025
most citedA non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticality

24 citations · 170 across the 26 of their papers we have counts for

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Showing 2021Show all

7 papers · 1 filter

math.PR2021

Random normal matrices in the almost-circular regime

Sung-Soo Byun, Seong-Mi Seo

We study random normal matrix models whose eigenvalues tend to be distributed within a narrow "band" around the unit circle of width proportional to , where is the siz…

math.PR2021★ 9 cited

Wronskian structures of planar symplectic ensembles

Sung-Soo Byun, Markus Ebke, Seong-Mi Seo

We consider the eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic Ginibre ensemble, which are known to form a Pfaffian point process in the plane…

math.PR2021★ 18 cited

Universal scaling limits of the symplectic elliptic Ginibre ensemble

Sung-Soo Byun, Markus Ebke

We consider the eigenvalues of symplectic elliptic Ginibre matrices which are known to form a Pfaffian point process whose correlation kernel can be expressed in terms of the skew-…

math.PR2021★ 4 cited

Lemniscate ensembles with spectral singularity

Sung-Soo Byun, Seung-Yeop Lee, Meng Yang

We consider a family of random normal matrix models whose eigenvalues tend to occupy lemniscate type droplets as the size of the matrix increases. Under the insertion of a point ch…

math.PR2021★ 9 cited

Scaling Limits of Planar Symplectic Ensembles

Gernot Akemann, Sung-Soo Byun, Nam-Gyu Kang

We consider various asymptotic scaling limits for the complex eigenvalues of non-Hermitian random matrices in the symmetry class of the symplectic Ginibre ensembl…

math.PR2021★ 3 cited

Real eigenvalues of elliptic random matrices

Sung-Soo Byun, Nam-Gyu Kang, Ji Oon Lee +1

We consider the real eigenvalues of an real elliptic Ginibre matrix whose entries are correlated through a non-Hermiticity parameter . In the almost-He…

math.PR2021★ 3 cited

Almost-Hermitian random matrices and bandlimited point processes

Yacin Ameur, Sung-Soo Byun

We study the distribution of eigenvalues of almost-Hermitian random matrices associated with the classical Gaussian and Laguerre unitary ensembles. In the almost-Hermitian setting,…