Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/79336
Type: Artigo
Title: Decomposition of stochastic flows in manifolds with complementary distributions
Author: Catuogno, Pedro J.
Silva, Fabiano B. da
Ruffino, Paulo R.
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.
Let M be a differentiable manifold endowed locally with two complementary distributions, say horizontal and vertical. We consider the two subgroups of (local) diffeomorphisms of M generated by vector fields in each of of these distributions. Given a stochastic flow φt of diffeomorphisms of M, in a neighbourhood of an initial condition, up to a stopping time we decompose φt = ξt ◦ ψt 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: Fluxo estocástico
Decomposição (Matemática)
Difeomorfismos
Country: Singapura
Editor: World Scientific
Citation: Stochastics And Dynamics. World Scientific Publ Co Pte Ltd, v. 13, n. 4, 2013.
Rights: fechado
Identifier DOI: 10.1142/S0219493713500093
Address: https://www.worldscientific.com/doi/abs/10.1142/S0219493713500093
Date Issue: 2013
Appears in Collections:IMECC - Artigos e Outros Documentos

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