Manuel Fernández

activity

20242026

collaborators

5 papers

math.PR2026

Intermediate Singular Values of Random Matrices under Second-Moment and Anti-Concentration Assumptions

Achintya Raya Polavarapu, Manuel Fernandez

Let $A = (ξ_{ij})$ be an $n \times n$ random matrix with independent, not necessarily identically distributed, real entries satisfying \[ \mathbb Eξ_{ij}=0,\qquad \mathbb Eξ_{ij}^{2}=…

math.PR2025

On the Smallest Singular Value of Log-Concave Random Matrices

Manuel Fernandez, Galyna V. Livshyts, Stephanie Mui

Let $A$ be an $N \times n$ random matrix whose entries are coordinates of an isotropic log-concave random vector in $R^{N n}$ . We prove sharp lower tail estimates for the sm…

math.PR2024

The smallest singular value of inhomogenous random rectangular matrices

Max Dabagia, Manuel Fernandez

Let $A \in R^{N \times n}$ ( $N \geq n$ ) be a random matrix with with independent entries that have mean 0 variance 1 and bounded $2 + β$ moment. We show that the smallest si…

math.PR2024

A distance theorem for inhomogenous random rectangular matrices

Manuel Fernandez

Let $A \in R^{n \times (n - d)}$ be a random matrix with independent uniformly anti-concentrated entries satisfying $E ∣ A ∣_{H S}^{2} \leq K n (n - d)$ and let…

math.CO2024

The clique chromatic number of sparse random graphs

Manuel Fernandez, Lutz Warnke

The clique chromatic number of a graph is the smallest number of colors in a vertex coloring so that no maximal clique is monochromatic. In this paper, we determine the order of ma…