Please use this identifier to cite or link to this item: https://hdl.handle.net/10216/93226
Full metadata record
DC FieldValueLanguage
dc.creatorPinto, AA
dc.creatorRand, DA
dc.creatorFeffeira, F
dc.date.accessioned2019-02-07T09:32:55Z-
dc.date.available2019-02-07T09:32:55Z-
dc.date.issued2007
dc.identifier.issn0022-0396
dc.identifier.othersigarra:49356
dc.identifier.urihttps://repositorio-aberto.up.pt/handle/10216/93226-
dc.descriptionWe prove a one-to-one correspondence between (i) C1+ conjugacy classes of C^{1+H} Cantor exchangesystems that are C^{1+H} fixed points of renormalization and (ii) C^{1+} conjugacy classes of C^{1+H} diffeomorphismsf with a codimension 1 hyperbolic attractor Λ that admit an invariant measure absolutelycontinuous with respect to the Hausdorff measure on Λ. However, we prove that there is no C^{1+α} Cantorexchange system, with bounded geometry, that is a C^{1+α} fixed point of renormalization with regularity αgreater than the Hausdorff dimension of its invariant Cantor set.
dc.description.abstractWe prove a one-to-one correspondence between (i) C1+ conjugacy classes of C1+H Cantor exchange systems that are C1+H fixed points of renormalization and (ii) C1+ conjugacy classes of C1+H diffeomorphisms f with a codimension 1 hyperbolic attractor Lambda that admit an invariant measure absolutely continuous with respect to the Hausdorff measure on Lambda. However, we prove that there is no C1+alpha Cantor exchange system, with bounded geometry, that is a C1+alpha fixed point of renormalization with regularity alpha greater than the Hausdorff dimension of its invariant Cantor set. (C) 2007 Published by Elsevier Inc.
dc.language.isoeng
dc.rightsrestrictedAccess
dc.subjectMatemática
dc.subjectMathematics
dc.titleCantor exchange systems and renormalization
dc.typeArtigo em Revista Científica Internacional
dc.contributor.uportoFaculdade de Ciências
dc.identifier.doi10.1016/j.jde.2007.09.014
dc.identifier.authenticusP-004-5RP
dc.subject.fosCiências exactas e naturais::Matemática
dc.subject.fosNatural sciences::Mathematics
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

Files in This Item:
File Description SizeFormat 
49356.pdf
  Restricted Access
301.59 kBAdobe PDF    Request a copy from the Author(s)


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