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|Type:||Artigo de periódico|
|Title:||DECOMPOSITION OF STOCHASTIC FLOWS IN MANIFOLDS WITH COMPLEMENTARY DISTRIBUTIONS|
Da Silva, FB
|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.|
decomposition of flows
group of diffeomorphisms
|Editor:||World Scientific Publ Co Pte Ltd|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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