Ching-Wei Ho

collaborators

5 papers

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.OA2025

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(λ,\va…

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 $Σ_{n}$ be a deterministic non-negative matrix such that $A_{n}$ and $Σ_{n}$ converge in $*$ -moments to operators $a$ and $Σ$ respec…

math.OA2024

On the support of free convolutions

Serban Belinschi, Hari Bercovici, Ching-Wei Ho

We extend to arbitrary measures results of Bao, Erdös, Schnelli, Moreillon, and Ji on the connectedness of the supports of additive convolutions of measures on \mathbb{R} and of fr…

math.PR2023

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…