Random Plane Waves

Dmitry Belyaev (University of Oxford)

Frank Adams 2,

Random plane waves are the universal model for high energy
eigenfunctions of the Laplacian in domains with chaotic billiard
dynamics. We are interested in the geometry of the nodal lines and
domains of the random plane wave. In this talk I will discuss some
recent results about the nodal domains and Bogomolny-Schmit conjecture
that relates the random plane wave with the critical percolation.

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