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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…
math.SP2018
Weighted local Weyl laws for elliptic operators
Alejandro Rivera
Let be an elliptic pseudo-differential operator of order on a closed manifold of dimension , formally positive self-adjoint with respect to some positive…