The Billard Theorem for Multiple Random Fourier Series - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Fourier Analysis and Applications Année : 2017

The Billard Theorem for Multiple Random Fourier Series

Résumé

We propose a generalization of a classical result on random Fourier series, namely the Billard Theorem, for random Fourier series over the d-dimensional torus. We provide an investigation of the independence with respect to a choice of a sequence of partial sums (or method of summation). We also study some probabilistic properties of the resulting sum field such as stationarity and characteristics of the marginal distribution.
Fichier principal
Vignette du fichier
2013-16r2.pdf (390.63 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00850112 , version 1 (02-08-2013)
hal-00850112 , version 2 (24-10-2016)

Identifiants

Citer

Samuel Ronsin, Hermine Biermé, Lionel Moisan. The Billard Theorem for Multiple Random Fourier Series. Journal of Fourier Analysis and Applications, 2017, 23 (1), pp.207-228. ⟨10.1007/s00041-016-9467-9⟩. ⟨hal-00850112v2⟩
278 Consultations
702 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More