DECOMPOSITION OF STOCHASTIC FLOWS IN MANIFOLDS WITH COMPLEMENTARY DISTRIBUTIONS

Autor(es)

Catuogno, Pedro J. ^[1] ; Da Silva, Fabiano B. ^[1] ; Ruffino, Paulo R. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Stochastics and Dynamics; v. 13, n. 4 DEC 2013.
• Citações Web of Science: 3

Resumo

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. (AU)

• Processo FAPESP: 11/50151-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Modalidade de apoio: Auxílio à Pesquisa - Temático