Horizontal lift of an infinite dimensional diffusion
type: Item
instance of: scholarly article
title: Horizontal lift of an infinite dimensional diffusion
zbMATH Open document ID: 0960.58020
DOI: 10.1023/A:1008622712051
author: Zdzislaw Brzezniak
author: Rémi Léandre
published in: Potential Analysis
publication date: 2000-09-20T00:00:00Z
review text: The paper deals with stochastic differential equations on infinite dimensional Banach manifolds. For some sort of such manifolds and certain diffusion processes the authors prove the existence of horizontal lift to a line bundle with connection. Three classes of finite dimensional manifolds are described such that their loop manifolds admit the above-mentioned construction of horizontal lift. Applications to Quantum Field Theory are indicated.
reviewed by: Yuri E. Gliklikh
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 55N35
Mathematics Subject Classification ID: 58D15
Mathematics Subject Classification ID: 58A10
Mathematics Subject Classification ID: 58B25
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 1455891
zbMATH Keywords: loop manifold
zbMATH Keywords: stochastic (Stratonovich) differential equation
zbMATH Keywords: line bundle
zbMATH Keywords: horizontal lift
zbMATH Keywords: quantum field theory
MaRDI profile type: Publication
full work available at URL: a:1008622712051
OpenAlex ID: W2303236701
description: scientific article; zbMATH DE number 1455891