Ching-Wei Ho

collaborators

4 papers

math.OA2026

Spectral results for free random variables

Brian C. Hall, Ching-Wei Ho

Let $(A, tr)$ be a von Neumann algebra with a faithful, normal trace $tr : A \to C .$ For each $a \in A,$ define \[ S(Î»,\v…

math.PR2025

Roots of polynomials under repeated differentiation and repeated applications of fractional differential operators

Brian C. Hall, Ching-Wei Ho, Jonas Jalowy +1

We start with a random polynomial $P^{N} (z)$ of degree $N$ with independent coefficients. We then consider a new polynomial $P_{t}^{N}$ obtained by $⌈ N t ⌉$ applications o…

math.PR2025

Matrix Random Walks and the Lima Bean Law

Bruce K. Driver, Brian C. Hall, Ching Wei Ho +4

A matrix random walk is a stochastic process of the form $B_{k} = (I + A_{1}) \dots (I + A_{k})$ where $A_{j}$ are independent ``step'' matrices in $M_{N} (C)$ . With the right en…

math.PR2025

Outlier eigenvalues for full rank deformed single ring random matrices

Ching-Wei Ho, Zhi Yin, Ping Zhong

Let $A_{n}$ be an $n \times n$ deterministic matrix and $I^£_{n}$ be a deterministic non-negative matrix such that $A_{n}$ and $I^£_{n}$ converge in $*$ -moments to operators $a$ and $I^£$ res…