Ching-Wei Ho

collaborators

4 papers

math.PR2025

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…

math.PR2025

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 $N$ , when the polynomial itself is evolving according to the heat flow. We propose a general conjecture for the large-…

math.PR2024

Deformed single ring theorems

Ching-Wei Ho, Ping Zhong

Given a sequence of deterministic matrices $A = A_{N}$ and a sequence of deterministic nonnegative matrices $I^£ = I^£_{N}$ such that $A \to a$ and $I^£ \to I ¨ $ in $*$ -distribution for som…

math.PR2024

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…