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math.SP2018
Quantum ergodicity for large equilateral quantum graphs
Maxime Ingremeau, Mostafa Sabri, Brian Winn
Consider a sequence of finite regular graphs (GN) converging, in the sense of Benjamini-Schramm, to the infinite regular tree. We study the induced quantum graphs with equilateral…
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…