3 papers
math-ph2023
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…
math.AP2022
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…
math-ph2022
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…