Mostafa Sabri

activity

20122026

most citedQuantum ergodicity for the Anderson model on regular graphs

11 citations · 31 across the 13 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022

Dispersion on certain Cartesian products of graphs

Kaïs Ammari, Mostafa Sabri

In this short note we prove a sharp dispersive estimate $∥ e^{i t H} f ∥_{\infty} < t^{- d /3} ∥ f ∥_{1}$ for any Cartesian product $Z^{d} □ G_{F}$ of th…

math-ph2022

Quantum ergodicity for periodic graphs

Theo Mckenzie, Mostafa Sabri

We prove quantum ergodicity for a family of periodic Schrödinger operators $H$ on periodic graphs. This means that most eigenfunctions of $H$ on large finite periodic graphs are eq…

math-ph2022★ 2 cited

Ballistic transport in periodic and random media

Anne Boutet de Monvel, Mostafa Sabri

We prove ballistic transport of all orders, that is, $∥ x^{m} e^{- i t H} ψ ∥ ≍ t^{m}$ , for the following models: the adjacency matrix on $Z^{d}$ , the…