Brian C. Hall

activity

20232026

most citedRoots of polynomials under repeated differentiation and repeated applications of fractional differential operators

2 citations · 2 across the 4 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

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

Support of the Brown measure of a family of free multiplicative Brownian motions with non-negative initial condition

Brian C. Hall, Sorawit Eaknipitsari

We consider a family $b_{s, τ}$ of free multiplicative Brownian motions labeled by a real variance parameter $s$ and a complex covariance parameter $τ$ . We then consider the element…