11 citations · 31 across the 13 of their papers we have counts for
17 papers
Arbitrarily Fast Quantum Dispersion in Long-Range Crystals
Gaétan Leclerc, Mostafa Sabri, Tuomas Sahlsten
We construct the first examples of one-dimensional long-range crystals exhibiting arbitrarily fast polynomial dispersive bounds. The Floquet functions of our Hamiltonians are highl…
Quantum mixing on large Schreier graphs
Charles Bordenave, Cyril Letrouit, Mostafa Sabri
We prove quantum ergodicity and quantum mixing for sequences of finite Schreier graphs converging to an infinite Cayley graph whose adjacency operator has absolutely continuous spe…
Flat bands of periodic graphs
Mostafa Sabri, Pierre Youssef
We study flat bands of periodic graphs in a Euclidean space. These are infinitely degenerate eigenvalues of the corresponding adjacency matrix, with eigenvectors of compact support…
Dispersion on certain Cartesian products of graphs
Kaïs Ammari, Mostafa Sabri
In this short note we prove a sharp dispersive estimate for any Cartesian product of th…
Quantum ergodicity for periodic graphs
Theo Mckenzie, Mostafa Sabri
We prove quantum ergodicity for a family of periodic Schrödinger operators on periodic graphs. This means that most eigenfunctions of on large finite periodic graphs are eq…
Ballistic transport in periodic and random media
Anne Boutet de Monvel, Mostafa Sabri
We prove ballistic transport of all orders, that is, , for the following models: the adjacency matrix on , the…