Recognition: unknown
Points on nodal lines with given direction
classification
🧮 math.SP
keywords
nodalpointsdirectiongivenlinesnumberarithmeticbounds
read the original abstract
We study of the directional distribution function of nodal lines for eigenfunctions of the Laplacian on a planar domain. This quantity counts the number of points where the normal to the nodal line points in a given direction. We give upper bounds for the flat torus, and compute the expected number for arithmetic random waves.
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