Renormalization for piecewise smooth homeomorphisms on the circle

Detalhes bibliográficos
Autor(a) principal: Cunha, Kleyber
Data de Publicação: 2013
Outros Autores: Smania, Daniel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/13694
Resumo: p. 441–462
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spelling Cunha, KleyberSmania, Daniel2013-11-18T18:52:23Z2013-11-18T18:52:23Z20130294-1449http://repositorio.ufba.br/ri/handle/ri/13694v. 30, n. 3p. 441–462In this work we study the renormalization operator acting on piecewise smooth homeomorphisms on the circle, that turns out to be essentially the study of Rauzy–Veech renormalizations of generalized interval exchange maps with genus one. In particular we show that renormalizations of such maps with zero mean nonlinearity and satisfying certain smoothness and combinatorial assumptions converge to the set of piecewise affine interval exchange maps.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-11-18T18:52:23Z No. of bitstreams: 1 666666666.pdf: 288123 bytes, checksum: 871e2b9a4ba9a3766d89fe12252b9c37 (MD5)Made available in DSpace on 2013-11-18T18:52:23Z (GMT). No. of bitstreams: 1 666666666.pdf: 288123 bytes, checksum: 871e2b9a4ba9a3766d89fe12252b9c37 (MD5) Previous issue date: 2013SalvadorAnnales de l'Institut Henri Poincaré (C) Non Linear AnalysisBrasilhttp://www.sciencedirect.com/science/article/pii/S0294144912000868reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBARenormalizationInterval exchange transformationsRauzy–Veech inductionUniversalityHomeomorphism on the circleConvergenceRenormalization for piecewise smooth homeomorphisms on the circleAnnales de l'Institut Henri Poincaré (C) Non Linear Analysisinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessengORIGINAL666666666.pdf666666666.pdfapplication/pdf288123https://repositorio.ufba.br/bitstream/ri/13694/1/666666666.pdf871e2b9a4ba9a3766d89fe12252b9c37MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/13694/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXT666666666.pdf.txt666666666.pdf.txtExtracted texttext/plain50897https://repositorio.ufba.br/bitstream/ri/13694/3/666666666.pdf.txtf43d946bbe1286918062d293d85e2b52MD53ri/136942022-03-30 21:01:54.596oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-03-31T00:01:54Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Renormalization for piecewise smooth homeomorphisms on the circle
dc.title.alternative.pt_BR.fl_str_mv Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
title Renormalization for piecewise smooth homeomorphisms on the circle
spellingShingle Renormalization for piecewise smooth homeomorphisms on the circle
Cunha, Kleyber
Renormalization
Interval exchange transformations
Rauzy–Veech induction
Universality
Homeomorphism on the circle
Convergence
title_short Renormalization for piecewise smooth homeomorphisms on the circle
title_full Renormalization for piecewise smooth homeomorphisms on the circle
title_fullStr Renormalization for piecewise smooth homeomorphisms on the circle
title_full_unstemmed Renormalization for piecewise smooth homeomorphisms on the circle
title_sort Renormalization for piecewise smooth homeomorphisms on the circle
author Cunha, Kleyber
author_facet Cunha, Kleyber
Smania, Daniel
author_role author
author2 Smania, Daniel
author2_role author
dc.contributor.author.fl_str_mv Cunha, Kleyber
Smania, Daniel
dc.subject.por.fl_str_mv Renormalization
Interval exchange transformations
Rauzy–Veech induction
Universality
Homeomorphism on the circle
Convergence
topic Renormalization
Interval exchange transformations
Rauzy–Veech induction
Universality
Homeomorphism on the circle
Convergence
description p. 441–462
publishDate 2013
dc.date.accessioned.fl_str_mv 2013-11-18T18:52:23Z
dc.date.available.fl_str_mv 2013-11-18T18:52:23Z
dc.date.issued.fl_str_mv 2013
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/13694
dc.identifier.issn.none.fl_str_mv 0294-1449
dc.identifier.number.pt_BR.fl_str_mv v. 30, n. 3
identifier_str_mv 0294-1449
v. 30, n. 3
url http://repositorio.ufba.br/ri/handle/ri/13694
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
dc.publisher.country.fl_str_mv Brasil
publisher.none.fl_str_mv Annales de l'Institut Henri Poincaré (C) Non Linear Analysis
dc.source.pt_BR.fl_str_mv http://www.sciencedirect.com/science/article/pii/S0294144912000868
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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collection Repositório Institucional da UFBA
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