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math-ph2013★ 70 cited
Quantum ergodicity on large regular graphs
Nalini Anantharaman, Etienne Le Masson
We propose a version of the Quantum Ergodicity theorem on large regular graphs of fixed valency. This is a property of delocalization of "most" eigenfunctions. We consider expander…
math.SP2013★ 14 cited
Pseudo-differential calculus on homogeneous trees
Etienne Le Masson
In the objective of studying concentration and oscillation properties of eigenfunctions of the discrete Laplacian on regular graphs, we construct a pseudo-differential calculus on…