11 citations · 31 across the 13 of their papers we have counts for
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Dispersion for Schrödinger operators on regular trees
Kaïs Ammari, Mostafa Sabri
We prove dispersive estimates for two models~: the adjacency matrix on a discrete regular tree, and the Schrödinger equation on a metric regular tree with the same potential on eac…
Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We introduce the notion of Benjamini-Schramm convergence for quantum graphs. This notion of convergence, intended to play the role of the already existing notion for discrete graph…
Absolutely Continuous Spectrum for Quantum Trees
Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri +1
We study the spectra of quantum trees of finite cone type. These are quantum graphs whose geometry has a certain homogeneity, and which carry a finite set of edge lengths, coupling…