Random Eigenfunctions on Flat Tori: Universality for the Number of Intersections-Reference-Cited by-同舟云学术

Random Eigenfunctions on Flat Tori: Universality for the Number of Intersections

Published:2018-12-04 Issue:24 Volume:2020 Page:9933-9973
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Chang Mei-Chu¹,Nguyen Hoi²,Nguyen Oanh³,Vu Van⁴

Affiliation:

1. Department of Mathematics, University of California, Riverside, CA, USA

2. Department of Mathematics, The Ohio State University, Columbus, OH, USA

3. Department of Mathematics, Princeton University, Princeton, NJ, USA

4. Department of Mathematics, Yale University, New Haven, CT 06520, USA

Abstract

Abstract We show that several statistics of the number of intersections between random eigenfunctions of general eigenvalues and a given smooth curve in flat tori are universal under various families of randomness.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/24/9933/34948916/rny267.pdf

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