Random Waves On $\mathbb T^3$: Nodal Area Variance and Lattice Point Correlations-Reference-Cited by-同舟云学术

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Random Waves On $\mathbb T^3$: Nodal Area Variance and Lattice Point Correlations

Published:2017-09-14 Issue:10 Volume:2019 Page:3032-3075
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Benatar Jacques¹,Maffucci Riccardo W¹

Affiliation:

1. Department of Mathematics, King’s College London, UK

Funder

European Union Seventh Framework Programme

European Research Council

Graduate Teaching Scholarship, Department of Mathematics

King’s College London

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2019/10/3032/28673032/rnx220.pdf

Reference33 articles.

1. Level Sets and Extrema of Random Processes and Fields

2. Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature;Berry;J. Phys. A,2002

3. “A problem on sums of two squares.”;Bombieri;Int. Math. Res. Not.,2014

4. “On toral eigenfunctions and the random wave model.”;Bourgain;Israel J. Math.,2014

5. “Local Statistics of Lattice Points On the Sphere.”;Bourgain,2016

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1. On the limiting behaviour of arithmetic toral eigenfunctions;Annales de l'Institut Fourier;2024-05-17

2. Asymptotic distribution of nodal intersections for ARW against a surface;Journal of Mathematical Physics;2024-03-01

3. Matrix Hermite polynomials, Random determinants and the geometry of Gaussian fields;Annales Henri Lebesgue;2023-12-12

4. On the nodal structures of random fields: a decade of results;Journal of Applied and Computational Topology;2023-09-30

5. Small Scale CLTs for the Nodal Length of Monochromatic Waves;Communications in Mathematical Physics;2022-11-19

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