Youssef Djellouli

collaborators

2 papers

math.PR2026

Optimal Covariance Estimates for Schrödinger Semigroups with White Noise in $d = 1, 2$

Youssef Djellouli, Pierre Yves Gaudreau Lamarre

For $d \in {1, 2}$ , let $H = - \frac{1}{2} Δ + V + ξ$ be the random Schrödinger operator on $L^{2} (R^{d})$ where $ξ$ is a standard Gaussian white noise and $V$ is a deterministic pot…

math.PR2025

On the Rigidity of Projected Perturbed Lattices

Youssef Djellouli, Pierre Yves Gaudreau Lamarre

We study the occurrence of number rigidity and deletion singularity in a class of point processes that we call {\it projected perturbed lattices}. These are generalizations of proc…

Optimal Covariance Estimates for Schrödinger Semigroups with White Noise in d=1,2

On the Rigidity of Projected Perturbed Lattices

Optimal Covariance Estimates for Schrödinger Semigroups with White Noise in $d = 1, 2$