Please use this identifier to cite or link to this item:
Type: Artigo de periódico
Title: Extension Of Time For Decomposition Of Stochastic Flows In Spaces With Complementary Foliations
Author: Morgado
Leandro; Ruffino
Paulo R.
Abstract: Let M be a manifold equipped (locally) with a pair of complementary foliations. In Catuogno, da Silva and Ruffino [4], it is shown that, up to a stopping time tau, a stochastic flow of local diffeomorphisms phi(t) in M can be decomposed in diffeomorphisms that preserves this foliations. In this article we present techniques which allow us to extend the time of this decomposition. For this extension, we use two techniques: In the first one, assuming that the vector fields of the system commute with each other, we apply Marcus equation to jump nondecomposable diffeomorphisms. The second approach deals with the general case: we introduce a 'stop and go' technique that allows us to construct a process that follows the original flow in the 'good zones' for the decomposition, and remains paused in 'bad zones'. Among other applications, our results open the possibility of studying the asymptotic behaviour of each component.
Subject: Statistics & Probability
Country: SEATTLE
Rights: aberto
Identifier DOI: 10.1214/ECP.v20-3762
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
wos_000354512800001.pdf284.87 kBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.