Felipe Hernández

collaborators

3 papers

math.PR2025

Diffusivity of the Lorentz mirror walk in high dimensions

Dor Elboim, Antoine Gloria, Felipe Hernández

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

Self-consistent equations and quantum diffusion for the Anderson model

Adam Black, Reuben Drogin, Felipe Hernández

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

math-ph2025

Tail bounds for the Dyson series of random Schrödinger equations

Adam Black, Reuben Drogin, Felipe Hernández

We study Schrödinger equations on $Z^{d}$ and $R^{d}$ , $d \geq 2$ with random potentials of strength $λ$ . Our main result gives tail bounds for the terms of the Dyson…