13 citations · 36 across the 16 of their papers we have counts for
16 papers
Zeros of random polynomials undergoing the heat flow
Brian C. Hall, Ching-Wei Ho, Jonas Jalowy +1
We investigate the evolution of the empirical distribution of the complex roots of high-degree random polynomials, when the polynomial undergoes the heat flow. In one prominent exa…
The heat flow, GAF, and SL(2;R)
Brian Hall, Ching-Wei Ho, Jonas Jalowy +1
We establish basic properties of the heat flow on entire holomorphic functions that have order at most 2. We then look specifically at the action of the heat flow on the Gaussian a…
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…
Regularity for free multiplicative convolution on the unit circle
Serban T. Belinschi, Hari Bercovici, Ching-Wei Ho
It is shown that the free multiplicative convolution of two nondegenerate probability measures on the unit circle has no continuous singular part relative to arclength measure. Ana…
On the convergence of Denjoy-Wolff points
Serban Belinschi, Hari Bercovici, Ching Wei Ho
If is an analytic function from the unit disk to itself, and is not a conformal automorphism, we denote by its Denjoy-Wolff point, that is, the limit of…
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…
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-…
The Brown measure of a family of free multiplicative Brownian motions
Brian C. Hall, Ching-Wei Ho
We consider a family of free multiplicative Brownian motions parametrized by a real variance parameter and a complex covariance parameter We compute the Brown me…
The Brown measure of unbounded variables with free semicircular imaginary part
Ching-Wei Ho
Let be an unbounded self-adjoint operator such that the Brown measure of exists in the sense of Haagerup and Schultz. Also let and be semicircular var…
The Brown measure of the sum of a self-adjoint element and an elliptic element
Ching-Wei Ho
We completely determine the Brown measure of the sum of a self-adjoint element and an elliptic element, which is the limiting eigenvalue distribution of the random matrix \[Y_N+\sq…
The Brown measure of the sum of a self-adjoint element and an imaginary multiple of a semicircular element
Brian C. Hall, Ching-Wei Ho
We compute the Brown measure of , where is a free semicircular Brownian motion and is a freely independent self-adjoint element that is not a multiple…
Brown Measures of Free Circular and Multiplicative Brownian Motions with Self-Adjoint and Unitary Initial Conditions
Ching-Wei Ho, Ping Zhong
Let be a Ginibre ensemble and let be a Hermitian random matrix independent from such that converges in distribution to a self-adjoint random variable .…
A Local Limit Theorem and Delocalization of Eigenvectors for Polynomials in Two Matrices
Ching-Wei Ho
We propose a boundary regularity condition for the -valued subordination functions in free probability to prove the local limit theorem and delocalization of eigen…
Segal-Bargmann transform: the -deformation
Guillaume Cébron, Ching-Wei Ho
We give identifications of the -deformed Segal-Bargmann transform and define the Segal-Bargmann transform on mixed -Gaussian variables. We prove that, when defined on the ran…
The Two-Parameter Free Unitary Segal-Bargmann Transform and its Biane-Gross-Malliavin Identification
Ching-Wei Ho
Motivated by the two-parameter free unitary Segal-Bargmann transform in the form of conditional expectation, we derive the integral transform representation of the two-parameter fr…
Energy Measures of Harmonic Functions on the Sierpiński Gasket
Renee Bell, Ching-Wei Ho, Robert S. Strichartz
We study energy measures on SG based on harmonic functions. We characterize the positive energy measures through studying the bounds of Radon-Nikodym derivatives with respect to th…