Evangelos A. Nikitopoulos

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math.PR2026

Asymptotic expansion for transport maps between laws of multimatrix models

David Jekel, Evangelos A. Nikitopoulos, FÃ©lix Parraud

We study the large- $N$ behavior of random matrix tuples $Y^{N} = (Y_{1}^{N}, \dots, Y_{d}^{N})$ with joint density proportional to $e^{- N^{2} V}$ for some convex function $V$ in non-commuting va…

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…