Recognition: unknown
On toral eigenfunctions and the random wave model
classification
🧮 math.NT
keywords
modelrandomwaveapproacharithmeticalcirclescontextdeterministic
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The purpose of this Note is to provide a deterministic implementation of the random wave model for the number of nodal domains in the context of the two-dimensional torus. The approach is based on recent work due to Nazarov and Sodin and arithmetical properties of lattice points on circles.
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