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arxiv: 1707.05255 · v1 · pith:K4XFS7HMnew · submitted 2017-07-17 · 🧮 math.PR · math.CO· math.NT

Random eigenfunctions on flat tori: universality for the number of intersections

classification 🧮 math.PR math.COmath.NT
keywords eigenfunctionsflatintersectionsnumberrandomtoricurveeigenvalues
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We show that several statistics of the number of intersections between random eigenfunctions of general eigenvalues with a given smooth curve in flat tori are universal under various families of randomness.

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