Brownian cylinders and intersecting branes
type: Item
instance of: scholarly article
title: Brownian cylinders and intersecting branes
zbMATH Open document ID: 1049.58036
DOI: 10.1016/S0034-4877(03)80035-6
published in: Reports on Mathematical Physics
publication date: 2004-05-27T00:00:00Z
review text: Taking his motivation in string theory, the author introduces the space \(\Lambda\) of continuous maps \(\psi:[0,1]\times S^1\to M\) of maps with values in a compact Riemannian manifold \(M\), such that \(\psi(0,t)\in M^1\) and \(\psi(1,t)\in M^2\), where \(M^1\) and \(M^2\) are submanifolds of \(M\). He considers the Brownian motion on this space, and studies its small time behaviour by proving large deviations estimates.
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 82B41
Mathematics Subject Classification ID: 60F10
zbMATH DE Number: 2068361
zbMATH Keywords: Brownian motion on infinite-dimensional manifolds
zbMATH Keywords: large deviations
author: Rémi Léandre
reviewed by: Jean Picard
MaRDI profile type: Publication
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full work available at URL: s0034-4877(03)80035-6
OpenAlex ID: W2038021463
description: scientific article; zbMATH DE number 2068361