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

Nguyen, Hoi

doi:10.1090/proc/16396

Concentration of the number of intersections of random eigenfunctions on flat tori
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by Hoi H. Nguyen;

Proc. Amer. Math. Soc. 151 (2023), 3127-3143

DOI: https://doi.org/10.1090/proc/16396

Published electronically: April 13, 2023

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Abstract:

We show that in two dimensional flat torus 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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