Renormalization of multidimensional Hamiltonian flows
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.5/29048 |
Resumo: | We construct a renormalization operator acting on the space of analytic Hamiltonians defined on T *Tᵈ, d ≥ 2 , based on the multidimensional continued fractions algorithm developed by the authors. We show convergence of orbits of the operator around integrable Hamiltonians satisfying a nondegeneracy condition. This in turn yields a new proof of a KAM-type theorem on the stability of diophantine invariant tori. |
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Renormalization of multidimensional Hamiltonian flowsHamiltonian FlowsRenormalization GroupDiophantine ApproximationWe construct a renormalization operator acting on the space of analytic Hamiltonians defined on T *Tᵈ, d ≥ 2 , based on the multidimensional continued fractions algorithm developed by the authors. We show convergence of orbits of the operator around integrable Hamiltonians satisfying a nondegeneracy condition. This in turn yields a new proof of a KAM-type theorem on the stability of diophantine invariant tori.Institute of Physics PublishingRepositório da Universidade de LisboaKhanin, KostyaDias, João LopesMarklof, Jens2023-10-16T09:39:40Z20062006-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/29048engKhanin, Kostya; João Lopes Dias and Jens Marklof .(2006). “Renormalization of multidimensional Hamiltonian flows”. Nonlinearity , Vol. 19: 2727–2753. (Search PDF in 2023)doi:10.1088/0951-7715/19/12/001info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-03T01:30:56Zoai:www.repository.utl.pt:10400.5/29048Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:39:19.654370Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Renormalization of multidimensional Hamiltonian flows |
title |
Renormalization of multidimensional Hamiltonian flows |
spellingShingle |
Renormalization of multidimensional Hamiltonian flows Khanin, Kostya Hamiltonian Flows Renormalization Group Diophantine Approximation |
title_short |
Renormalization of multidimensional Hamiltonian flows |
title_full |
Renormalization of multidimensional Hamiltonian flows |
title_fullStr |
Renormalization of multidimensional Hamiltonian flows |
title_full_unstemmed |
Renormalization of multidimensional Hamiltonian flows |
title_sort |
Renormalization of multidimensional Hamiltonian flows |
author |
Khanin, Kostya |
author_facet |
Khanin, Kostya Dias, João Lopes Marklof, Jens |
author_role |
author |
author2 |
Dias, João Lopes Marklof, Jens |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Repositório da Universidade de Lisboa |
dc.contributor.author.fl_str_mv |
Khanin, Kostya Dias, João Lopes Marklof, Jens |
dc.subject.por.fl_str_mv |
Hamiltonian Flows Renormalization Group Diophantine Approximation |
topic |
Hamiltonian Flows Renormalization Group Diophantine Approximation |
description |
We construct a renormalization operator acting on the space of analytic Hamiltonians defined on T *Tᵈ, d ≥ 2 , based on the multidimensional continued fractions algorithm developed by the authors. We show convergence of orbits of the operator around integrable Hamiltonians satisfying a nondegeneracy condition. This in turn yields a new proof of a KAM-type theorem on the stability of diophantine invariant tori. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006 2006-01-01T00:00:00Z 2023-10-16T09:39:40Z |
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://hdl.handle.net/10400.5/29048 |
url |
http://hdl.handle.net/10400.5/29048 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Khanin, Kostya; João Lopes Dias and Jens Marklof .(2006). “Renormalization of multidimensional Hamiltonian flows”. Nonlinearity , Vol. 19: 2727–2753. (Search PDF in 2023) doi:10.1088/0951-7715/19/12/001 |
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.publisher.none.fl_str_mv |
Institute of Physics Publishing |
publisher.none.fl_str_mv |
Institute of Physics Publishing |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799133653925625856 |