Diophantine Gaussian excursions and random walks

We investigate the asymptotic variance of Gaussian nodal excursions in the Euclidean space, focusing on the case where the spectral measure has incommensurable atoms. This study requires to establish fine recurrence properties in 0 for the associated irrational random walk on the torus. We show in p...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Electronic journal of probability 2022-01, Vol.27 (none)
1. Verfasser:	Lachièze-Rey, Raphaël
Format:	Artikel
Sprache:	eng
Schlagworte:	Gaussian fields, nodal excursion, random walk, diophantine approxima- tion, hyperuniformity, Gaussian random waves, variance cancellation Mathematics Probability
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!