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arXiv · 2008.04111

Concentration of the number of intersections of random eigenfunctions on flat tori

Hoi H. Nguyen
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Abstract

We show that in two dimensional flat tori the number of intersections between random eigenfunctions of general eigenvalues and a given smooth curve is almost exponentially concentrated around its mean, even when the randomness is not gaussian.

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Hoi H. Nguyen. 2020-08-07. Concentration of the number of intersections of random eigenfunctions on flat tori. https://arxiv.org/abs/2008.04111

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