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

Authors :
Nguyen, Hoi H.
Publication Year :
2020

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.<br />Comment: 14 pages, comments are welcome. arXiv admin note: text overlap with arXiv:1912.12051

Subjects

Subjects :
Mathematics - Probability

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2008.04111
Document Type :
Working Paper