Exponential Concentration for Zeroes of Stationary Gaussian Processes

DOI10.1093/imrn/rny277zbMath1483.60054arXiv1709.06760OpenAlexW2963878866WikidataQ115538884 ScholiaQ115538884MaRDI QIDQ5854265

Riddhipratim Basu, Ofer Zeitouni, Amir Dembo, Naomi Dvora Feldheim

Publication date: 16 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06760

zbMATH Keywords

stationary Gaussian processes

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10) Large deviations (60F10)

Related Items (8)

Concentration of the number of intersections of random eigenfunctions on flat tori ⋮ Persistence probabilities of mixed FBM and other mixed processes ⋮ Cumulants asymptotics for the zeros counting measure of real Gaussian processes ⋮ The forbidden region for random zeros: Appearance of quadrature domains ⋮ A covariance formula for topological events of smooth Gaussian fields ⋮ Zeros of smooth stationary Gaussian processes ⋮ Persistence probability of random Weyl polynomial ⋮ Roots of Kostlan polynomials: moments, strong law of large numbers and central limit theorem

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