Felipe Hernández

collaborators

4 papers

math.CO2026

On growth rates of infinite and finite sumsets

Felipe HernÃ¡ndez, Luke Hetzel

We study growth rates of infinite and finite sumset patterns in sets of positive density. In the infinite setting, we show that no such rate exists, answering a question of Kra, Mo…

math-ph2025

Self-consistent equations and quantum diffusion for the Anderson model

Adam Black, Reuben Drogin, Felipe HernÃ¡ndez

We consider the Anderson tight-binding model on $Z^{d}$ , $d \geq 2$ , with Gaussian noise and at low disorder $I^» > 0$ . We derive a diffusive scaling limit for the entries of th…

math.PR2025

Diffusivity of the Lorentz mirror walk in high dimensions

Dor Elboim, Antoine Gloria, Felipe HernÃ¡ndez

In the Lorentz mirror walk in dimension $d \geq 2$ , mirrors are randomly placed on the vertices of $Z^{d}$ at density $p \in [0, 1]$ . A light ray is then shot from the origin an…

math-ph2025

Tail bounds for the Dyson series of random SchrÃ¶dinger equations

Adam Black, Reuben Drogin, Felipe HernÃ¡ndez

We study SchrÃ¶dinger equations on $Z^{d}$ and $R^{d}$ , $d \geq 2$ with random potentials of strength $I^»$ . Our main result gives tail bounds for the terms of the Dyso…