6 citations · 9 across the 3 of their papers we have counts for
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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…
math-ph2020
How Lagrangian states evolve into random waves
Maxime Ingremeau, Alejandro Rivera
In this paper, we consider a compact manifold of negative curvature, and a family of semiclassical Lagrangian states on . For a wide…
math-ph2018
A lower bound for the Bogomolny-Schmit constant for random monochromatic plane waves
Maxime Ingremeau, Alejandro Rivera
This note deals with nodal domains of random monochromatic plane waves. It was shown by Nazarov and Sodin that the expected number of such nodal domains included in a disk of radiu…