Diophantine Gaussian excursions and random walks

DOI10.1214/22-EJP854MaRDI QIDQ2082683

Raphael Lachieze-Rey

Publication date: 4 October 2022

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.07290

zbMATH Keywords

Diophantine approximationrandom walkGaussian fieldshyperuniformityGaussian random wavesnodal excursionvariance cancellation

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Sums of independent random variables; random walks (60G50) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Simultaneous homogeneous approximation, linear forms (11J13)

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Variance linearity for real Gaussian zeros

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