Pinto's golden tilings

Bibliographic Details
Main Author: Almeida, João P.
Publication Date: 2010
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10198/1620
Summary: We present an one-to-one correspondence between (i) Pinto's golden tilings; (ii) smooth conjugacy classes of golden di eomorphism of the circle that are xed points of renormalization; (iii) smooth conjugacy classes of Anosov difeo- morphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, that are topologically conjugated to the Anosov au- tomorphism G(x; y) = (x + y; x); (iv) solenoid functions. As we will explain, the solenoid functions give a parametrization of the in nite dimensional space consisting of the mathematical objects described in the above equivalences.
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spelling Pinto's golden tilingsAnosov diffeomorphismsArc exchange systemsRenormalizationTilingsTrain tracksWe present an one-to-one correspondence between (i) Pinto's golden tilings; (ii) smooth conjugacy classes of golden di eomorphism of the circle that are xed points of renormalization; (iii) smooth conjugacy classes of Anosov difeo- morphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, that are topologically conjugated to the Anosov au- tomorphism G(x; y) = (x + y; x); (iv) solenoid functions. As we will explain, the solenoid functions give a parametrization of the in nite dimensional space consisting of the mathematical objects described in the above equivalences.Biblioteca Digital do IPBAlmeida, João P.2010-01-31T19:19:24Z20102010-01-01T00:00:00Zconference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10198/1620engAlmeida, João P. (2010). Pinto's golden tilings. In Discrete Dynamics and Difference Equations: Proceedings of the Twelfth International Conference on Difference Equations and Applications.9814287644info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-02-25T11:55:31Zoai:bibliotecadigital.ipb.pt:10198/1620Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:17:06.885154Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Pinto's golden tilings
title Pinto's golden tilings
spellingShingle Pinto's golden tilings
Almeida, João P.
Anosov diffeomorphisms
Arc exchange systems
Renormalization
Tilings
Train tracks
title_short Pinto's golden tilings
title_full Pinto's golden tilings
title_fullStr Pinto's golden tilings
title_full_unstemmed Pinto's golden tilings
title_sort Pinto's golden tilings
author Almeida, João P.
author_facet Almeida, João P.
author_role author
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.contributor.author.fl_str_mv Almeida, João P.
dc.subject.por.fl_str_mv Anosov diffeomorphisms
Arc exchange systems
Renormalization
Tilings
Train tracks
topic Anosov diffeomorphisms
Arc exchange systems
Renormalization
Tilings
Train tracks
description We present an one-to-one correspondence between (i) Pinto's golden tilings; (ii) smooth conjugacy classes of golden di eomorphism of the circle that are xed points of renormalization; (iii) smooth conjugacy classes of Anosov difeo- morphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, that are topologically conjugated to the Anosov au- tomorphism G(x; y) = (x + y; x); (iv) solenoid functions. As we will explain, the solenoid functions give a parametrization of the in nite dimensional space consisting of the mathematical objects described in the above equivalences.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-31T19:19:24Z
2010
2010-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10198/1620
url http://hdl.handle.net/10198/1620
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Almeida, João P. (2010). Pinto's golden tilings. In Discrete Dynamics and Difference Equations: Proceedings of the Twelfth International Conference on Difference Equations and Applications.
9814287644
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833591761317920768

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