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Seminar
FIELD Math:Analysis
DATE February 22 (Mon), 2021
TIME 17:00-18:00
PLACE Online
SPEAKER Byun, Sungsoo
HOST Kang, Nam-Gyu
INSTITUTE 서울대학교
TITLE Almost-Hermitian random matrices and bandlimited point processes: vertical cross-sections and Ward’s equations
ABSTRACT In this talk, I will discuss a class of bandlimited ensembles in the interface between dimensions 1 and 2, and present certain theorems of a general character.
In particular, I will introduce a property called “cross-section convergence”, which relates the cross-sections of the density of eigenvalues with the equilibrium density for the corresponding Hermitian ensemble. Moreover, combined with the theory of Ward’s equation, I will explain how the cross-section convergence can be used to uniquely determine the bulk scaling limits provided that the latter can be shown to be translation invariant.
This is based on joint work with Yacin Ameur.
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