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Type: Artigo
Title: Topology Of Foliations And Decomposition Of Stochastic Flows Of Diffeomorphisms
Author: Melo A.M.
Morgado L.
Ruffino P.R.
Abstract: Let M be a compact manifold equipped with a pair of complementary foliations, say horizontal and vertical. In Catuogno et al. (Stoch Dyn 13(4):1350009, 2013) it is shown that, up to a stopping time (Formula presented.), a stochastic flow of local diffeomorphisms (Formula presented.) in M can be written as a Markovian process in the subgroup of diffeomorphisms which preserve the horizontal foliation composed with a process in the subgroup of diffeomorphisms which preserve the vertical foliation. Here, we discuss topological aspects of this decomposition. The main result guarantees the global decomposition of a flow if it preserves the orientation of a transversely orientable foliation. In the last section, we present an Itô-Liouville formula for subdeterminants of linearised flows. We use this formula to obtain sufficient conditions for the existence of the decomposition for all (Formula presented.). © 2016 Springer Science+Business Media New York
Subject: Biregular Foliations
Decomposition Of Diffeomorphisms
Stochastic Flow Of Diffeomorphisms
Transversely Orientable Foliation
Editor: Springer New York LLC
Rights: fechado
Identifier DOI: 10.1007/s10884-016-9553-3
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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