Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/324179
Full metadata record
DC FieldValueLanguage
dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampRuffino, Paulo Regis Caronpt_BR
dc.typeArtigopt_BR
dc.titleTopology of foliations and decomposition of stochastic flows of diffeomorphismspt_BR
dc.contributor.authorMelo, Alison M.pt_BR
dc.contributor.authorMorgado, Leandropt_BR
dc.contributor.authorRuffino, Paulo R.pt_BR
dc.subjectDifeomorfismospt_BR
dc.subjectFluxo estocásticopt_BR
dc.subjectFolheações (Matemática)pt_BR
dc.subject.otherlanguageDiffeomorphismspt_BR
dc.subject.otherlanguageStochastic flowpt_BR
dc.subject.otherlanguageFoliations (Mathematics)pt_BR
dc.description.abstractLet 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 ττ, a stochastic flow of local diffeomorphisms φtφt 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 t≥0t≥0pt_BR
dc.relation.ispartofJournal of dynamics and differential equationspt_BR
dc.relation.ispartofabbreviationJ. dyn. differ. equ.pt_BR
dc.publisher.cityNew York, NYpt_BR
dc.publisher.countryEstados Unidospt_BR
dc.publisherSpringerpt_BR
dc.date.issued2018pt_BR
dc.date.monthofcirculationMar.pt_BR
dc.identifier.citationJournal Of Dynamics And Differential Equations. Springer New York Llc, p. 1 - 16, 2016.pt_BR
dc.language.isoengpt_BR
dc.description.volume30pt_BR
dc.description.issuenumber1pt_BR
dc.description.firstpage39pt_BR
dc.description.lastpage54pt_BR
dc.rightsfechadopt_BR
dc.sourceSCOPUSpt_BR
dc.identifier.issn1040-7294pt_BR
dc.identifier.eissn1572-9222pt_BR
dc.identifier.doi10.1007/s10884-016-9553-3pt_BR
dc.identifier.urlhttps://link.springer.com/article/10.1007/s10884-016-9553-3pt_BR
dc.description.sponsorshipCONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQpt_BR
dc.description.sponsorshipFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPpt_BR
dc.description.sponsorship1FAPESP - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULOpt_BR
dc.description.sponsorship1CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOpt_BR
dc.description.sponsordocumentnumber11/14797-2; 12/18780-0; 11/50151-0pt_BR
dc.description.sponsordocumentnumber142084/2012-3; 477861/2013-0pt_BR
dc.date.available2017-08-17T19:17:49Z-
dc.date.accessioned2017-08-17T19:17:49Z-
dc.description.provenanceMade available in DSpace on 2017-08-17T19:17:49Z (GMT). No. of bitstreams: 1 2-s2.0-84991717374.pdf: 809975 bytes, checksum: 08fc427604f0b6e8c010286db35aebf9 (MD5) Previous issue date: 2016 Bitstreams deleted on 2020-07-15T19:59:14Z: 2-s2.0-84991717374.pdf,. Added 1 bitstream(s) on 2020-07-15T20:20:28Z : No. of bitstreams: 1 2-s2.0-84991717374.pdf: 855879 bytes, checksum: 8d55953320b3a484b7c812cadc408fde (MD5)en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/324179-
dc.contributor.departmentDepartamento de Matemáticapt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.subject.keywordStochastic flow of diffeomorphismspt_BR
dc.subject.keywordDecomposition of diffeomorphismspt_BR
dc.subject.keywordBiregular foliationspt_BR
dc.subject.keywordTransversely orientable foliationpt_BR
dc.identifier.source2-s2.0-84991717374pt_BR
dc.creator.orcid0000-0002-6524-2508pt_BR
dc.type.formArtigopt_BR
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File SizeFormat 
2-s2.0-84991717374.pdf835.82 kBAdobe PDFView/Open


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