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Type: Artigo de periódico
Title: Application Of An Averaging Principle On Foliated Diffusions: Topology Of The Leaves
Author: Ruffino
Paulo R.
Abstract: We consider an epsilon K transversal perturbing vector field in a foliated Brownian motion defined in a foliated tubular neighbourhood of an embedded compact submanifold in R-3. We study the effective behaviour of the system under this epsilon perturbation. If the perturbing vector field K is proportional to the Gaussian curvature at the corresponding leaf, we have that the transversal component, after rescaling the time by t/epsilon, approaches a linear increasing behaviour proportional to the Euler characteristic of M, as epsilon goes to zero. An estimate of the rate of convergence is presented.
Subject: Ergodic Theorem
Country: SEATTLE
Rights: aberto
Identifier DOI: 10.1214/ECP.v20-3715
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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