Jad Hamdan

collaborators

4 papers

math.NT2026

The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals

Louis-Pierre Arguin, Jad Hamdan

We derive precise upper bounds for the maximum of the Riemann zeta function on a typical short interval of the critical line. We show that for fixed $I^¸ \in (- 1, 0]$ , large $T$ , and $…

math.NT2026

Partial sums of random multiplicative functions with supercritical divisor twists

Jad Hamdan

Let $f$ be a Steinhaus random multiplicative function, and for $I^\pm \in R$ , let $d_{I^} \pm$ denote the $I^\pm$ -divisor function. For $I^\pm \in (1, 2)$ we establish that $$ \mathbb{E}\bi…

math.PR2026

On the Fourier coefficients of critical Gaussian multiplicative chaos

Louis-Pierre Arguin, Jad Hamdan

We continue the study of the Fourier coefficients of Gaussian multiplicative chaos (GMC) recently initiated by Garban and Vargas. We show that if ${c_{n}}_{n \geq 1}$ are the Fourie…

math.PR2025

Genus expansion for non-linear random matrix ensembles with applications to neural networks

Nicola Muca Cirone, Jad Hamdan, Cristopher Salvi

We present a unified approach to studying certain non-linear random matrix ensembles and associated random neural networks at initialization. This begins with a novel series expans…