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math.PR2022
Deformed single ring theorems
Ching-Wei Ho, Ping Zhong
Given a sequence of deterministic matrices and a sequence of deterministic nonnegative matrices such that and in -distribution for some op…
math.PR2022
Superconvergence in free probability limit theorems for arbitrary triangular arrays
Hari Bercovici, Ching-Wei Ho, Jiun-Chau Wang +1
It is known that limit theorems for triangular arrays with identically distributed rows yields convergence of densities rather than just convergence in distribution. We show that t…
math.PR2022★ 1 cited
The heat flow conjecture for polynomials and random matrices
Brian C. Hall, Ching-Wei Ho
We study the evolution of the roots of a polynomial of degree , when the polynomial itself is evolving according to the heat flow. We propose a general conjecture for the large-…