Jorge Garza-Vargas

activity

20242026

collaborators

4 papers

math.PR2026

A new approach to strong convergence II. The classical ensembles

Chi-Fang Chen, Jorge Garza-Vargas, Ramon van Handel

The first paper in this series introduced a new approach to strong convergence of random matrices that is based primarily on soft arguments. This method was applied to achieve a re…

math.PR2026

Finite Free Information Inequalities

Jorge Garza-Vargas, Nikhil Srivastava, Zachary Stier

We develop finite free information theory for real-rooted polynomials, establishing finite free analogues of entropy and Fisher information monotonicity, as well as the Stam and en…

math.PR2025

A new approach to strong convergence

Chi-Fang Chen, Jorge Garza-Vargas, Joel A. Tropp +1

A family of random matrices $X^{N} = (X_{1}^{N}, \dots, X_{d}^{N})$ is said to converge strongly to a family of bounded operators $x = (x_{1}, \dots, x_{d})$ when $\|P(\bolds…

math.CO2024

Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions

Octavio Arizmendi, Jorge Garza-Vargas, Daniel Perales

Given two polynomials $p (x), q (x)$ of degree $d$ , we give a combinatorial formula for the finite free cumulants of $p (x) ⊠_{d} q (x)$ . We show that this formula admits a topolo…