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Type: Artigo de periódico
Author: Catuogno, PJ
Da Silva, FB
Ruffino, PR
Abstract: Let M be a differentiable manifold endowed locally with two complementary distributions, say horizontal and vertical. We consider the two subgroups of (local) diffeo-morphisms of M generated by vector fields in each of of these distributions. Given a stochastic flow.t of diffeomorphisms of M, in a neighbourhood of an initial condition, up to a stopping time we decompose phi(t) = xi(t)o psi(t) where the first component is a diffusion in the group of horizontal diffeomorphisms and the second component is a process in the group of vertical diffeomorphisms. Further decomposition will include more than two components; it leads to a maximal cascade decomposition in local coordinates where each component acts only in the corresponding coordinate.
Subject: Stochastic flows
smooth distributions
decomposition of flows
group of diffeomorphisms
Country: Singapura
Editor: World Scientific Publ Co Pte Ltd
Rights: fechado
Identifier DOI: 10.1142/S0219493713500093
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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