Self-Repelling processes associated with Brownian motions
type: Item
instance of: scholarly article
title: Self-Repelling processes associated with Brownian motions
zbMATH Open document ID: 0675.60067
DOI: 10.1016/0022-1236(89)90101-8
author: Wei-Shih Yang
author: David Klein
published in: Journal of Functional Analysis
publication date: 1989-01-01T00:00:00Z
review text: Using a relationship between the occupation field and connected Feynman diagrams, the author obtains \(L^ p\)-estimates for the renormalization of the occupation field \(\vdots T^ n\vdots\) for a two-dimensional Brownian motion X. Furthermore, a measure on the space of continuous sample paths \(dQ=Z^{-1}\exp (-\vdots T^ n\vdots_{\lambda})dP\) is obtained where dP is the distribution of X, Z is a normalization constant, and \(\lambda\) represents a space cutoff. This extends e.g. certain results of \textit{E. B. Dynkin} [J. Funct. Anal. 58, 20-52 (1984; Zbl 0552.60075)] and the first author [ibid. 80, No.2, 308-331 (1988; Zbl 0656.60088)].
Mathematics Subject Classification ID: 60J65
Mathematics Subject Classification ID: 81T17
zbMATH DE Number: 4105998
zbMATH Keywords: occupation field
zbMATH Keywords: Feynman diagrams
reviewed by: Klaus Schürger
MaRDI profile type: Publication
full work available at URL: 0022-1236(89)90101-8
OpenAlex ID: W2032259426
cites work: Q4744220
cites work: Gaussian and non-Gaussian random fields associated with Markov processes
cites work: Polynomials of the occupation field and related random fields
cites work: Q3910965
cites work: Small distance behaviour in field theory and power counting
cites work: Renormalization of a self-avoiding Brownian motion in two dimensions
description: scientific article; zbMATH DE number 4105998