Jorge Garza Vargas

activity

20172020

most citedOverlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations

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

collaborators

4 papers

math.PR2020★ 2 cited

Overlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations

Jess Banks, Jorge Garza Vargas, Archit Kulkarni +1

Let $G_{n}$ be an $n \times n$ matrix with real i.i.d. $N (0, 1/ n)$ entries, let $A$ be a real $n \times n$ matrix with $∥ A ∥ \leq 1$ , and let $γ \in (0, 1)$ . We show that with p…

math.CO2019★ 2 cited

Spectra of infinite graphs via freeness with amalgamation

Jorge Garza-Vargas, Archit Kulkarni

We use tools from free probability to study the spectra of Hermitian operators on infinite graphs. Special attention is devoted to universal covering trees of finite graphs. For op…

math.FA2017

Boolean Extremes and Dagum Distributions

Jorge Garza Vargas, Dan-Virgil Voiculescu

We study the max-convolution and max-stable laws for Boolean independence and prove that these are Dagum distributions (also known as log-logistical distributions).

math.PR2017

The traffic distribution of the squared unimodular random matrix and a formula for the moments of its ESD

Jorge Garza Vargas

The $k$ -th moment of the mean empirical spectral distribution of the squared unimodular random matrix of dimension $N$ can be expressed in the form $N^{- 2 k - 1} Q_{k} (N)$ , where $Q_k(x…