Brownian sheet and capacity
type: Item
instance of: scholarly article
title: Brownian sheet and capacity
zbMATH Open document ID: 0962.60066
author: D. Khoshnevisan
author: Zhan Shi
published in: The Annals of Probability
publication date: 2001-06-04T00:00:00Z
review text: The paper deals with the Brownian sheet, a temporally inhomogeneous, multiparameter, centered continuous Gaussian process. One of the goals of the paper is to provide an elementary proof of a result of \textit{S. Song} [Séminaire de probabilités XXVII. Lect. Notes Math. 1557, 276-301 (1993; Zbl 0786.60105)] giving an explicit capacity estimate for the hitting probabilities of the Brownian sheet. As applications, the escape rates of the Brownian sheet are determined; a local intersection equivalence between the Brownian sheet and the additive Brownian motion is proved; and results concerning quasi-sure properties in Wiener space are proved.
reviewed by: Liliana Popa
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 31C15
Mathematics Subject Classification ID: 60H07
Mathematics Subject Classification ID: 60G17
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 1462546
zbMATH Keywords: capacity
zbMATH Keywords: hitting probability
zbMATH Keywords: escape rate
zbMATH Keywords: local intersection equivalence
zbMATH Keywords: Brownian sheet
zbMATH Keywords: additive Brownian motion
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1022677442
OpenAlex ID: W1967128415
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DOI: 10.1214/AOP/1022677442
description: scientific article; zbMATH DE number 1462546