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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, , for the following models: the adjacency matrix on , the…
math-ph2021★ 6 cited
Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We consider a sequence of finite quantum graphs with few loops, so that they converge, in the sense of Benjamini-Schramm, to a random infinite quantum tree. We assume these quantum…