Roger Van Peski

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math.PR2024

Rank fluctuations of matrix products and a moment method for growing groups

Hoi H. Nguyen, Roger Van Peski

We consider the cokernel $G_{n} = Cok (A_{k} \dots A_{2} A_{1})$ of a product of independent $n \times n$ random integer matrices with iid entries from generic nondegenerate dis…

math.PR2023

Local limits in $p$ -adic random matrix theory

Roger Van Peski

We study the distribution of singular numbers of products of certain classes of $p$ -adic random matrices, as both the matrix size and number of products go to $\infty$ simultaneous…

math.PR2023

What is a $p$ -adic Dyson Brownian motion?

Roger Van Peski

We consider the singular numbers of a certain explicit continuous-time Markov jump process on $GL_{N} (Q_{p})$ , which we argue gives the closest $p$ -adic analogue of m…

Rank fluctuations of matrix products and a moment method for growing groups

Local limits in p-adic random matrix theory

What is a p-adic Dyson Brownian motion?

Local limits in $p$ -adic random matrix theory

What is a $p$ -adic Dyson Brownian motion?