Infinite-step nilsystems, independence and complexity

An ∞-step nilsystem is an inverse limit of minimal nilsystems. In this article, it is shown that a minimal distal system is an ∞-step nilsystem if and only if it has no non-trivial pairs with arbitrarily long finite IP-independence sets. Moreover, it is p

Detalhes bibliográficos
Autores: Dong, P., Donoso, S., Maass, A., Shao, S., Ye, X.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2013
País:Chile
Idioma:inglês
OAI Identifier:oai:repositorio.anid.cl:10533/238520
Acesso em linha:https://hdl.handle.net/10533/238520
Access Level:Acceso aberto
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spelling Ye, X.Shao, S.Maass, A.Donoso, S.Dong, P.201310.1017/S0143385711000861https://hdl.handle.net/10533/238520http://purl.org/coar/access_right/c_abf2Infinite-step nilsystems, independence and complexityDong, P.Donoso, S.Maass, A.Shao, S.Ye, X.2020-03-11T20:28:17Z2022-07-07T23:49:55Z2020-03-11T20:28:17Z2022-07-07T23:49:55Z2013An ∞-step nilsystem is an inverse limit of minimal nilsystems. In this article, it is shown that a minimal distal system is an ∞-step nilsystem if and only if it has no non-trivial pairs with arbitrarily long finite IP-independence sets. Moreover, it is pFONDAPFONDAP15110096WOS:000313252400005https://hdl.handle.net/10533/238520eng10.1017/S0143385711000861https://doi.org/10.1017/S0143385711000861Atribución-NoComercial-SinDerivadas 3.0 Chilehttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/info:eu-repo/semantics/openAccessInfinite-step nilsystems, independence and complexityErgodic Theory and Dynamical SystemsArticuloinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttps://hdl.handle.net/10533/238520FONDAPhttp://purl.org/coar/resource_type/c_2df8fbb110533/238520oai:repositorio.anid.cl:10533/2385202023-07-24 16:52:55.26https://repositorio.anid.clRepositorio ANIDaletelier@anid.cl
dc.title.none.fl_str_mv Infinite-step nilsystems, independence and complexity
dc.title.journal.none.fl_str_mv Ergodic Theory and Dynamical Systems
title Infinite-step nilsystems, independence and complexity
spellingShingle Infinite-step nilsystems, independence and complexity
Dong, P.
title_short Infinite-step nilsystems, independence and complexity
title_full Infinite-step nilsystems, independence and complexity
title_fullStr Infinite-step nilsystems, independence and complexity
title_full_unstemmed Infinite-step nilsystems, independence and complexity
title_sort Infinite-step nilsystems, independence and complexity
dc.creator.none.fl_str_mv Dong, P.
Donoso, S.
Maass, A.
Shao, S.
Ye, X.
author Dong, P.
author_facet Dong, P.
Donoso, S.
Maass, A.
Shao, S.
Ye, X.
author_role author
author2 Donoso, S.
Maass, A.
Shao, S.
Ye, X.
author2_role author
author
author
author
description An ∞-step nilsystem is an inverse limit of minimal nilsystems. In this article, it is shown that a minimal distal system is an ∞-step nilsystem if and only if it has no non-trivial pairs with arbitrarily long finite IP-independence sets. Moreover, it is p
publishDate 2013
dc.date.issued.none.fl_str_mv 2013
dc.date.accessioned.none.fl_str_mv 2020-03-11T20:28:17Z
2022-07-07T23:49:55Z
dc.date.available.none.fl_str_mv 2020-03-11T20:28:17Z
2022-07-07T23:49:55Z
dc.type.none.fl_str_mv Articulo
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dc.type.openaire.none.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.folio.none.fl_str_mv 15110096
dc.identifier.idwos.none.fl_str_mv WOS:000313252400005
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10533/238520
identifier_str_mv 15110096
WOS:000313252400005
url https://hdl.handle.net/10533/238520
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.doi.none.fl_str_mv 10.1017/S0143385711000861
dc.relation.uri.none.fl_str_mv https://doi.org/10.1017/S0143385711000861
dc.rights.none.fl_str_mv Atribución-NoComercial-SinDerivadas 3.0 Chile
http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rights.driver.none.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial-SinDerivadas 3.0 Chile
http://creativecommons.org/licenses/by-nc-nd/3.0/cl/
eu_rights_str_mv openAccess
repository.name.fl_str_mv Repositorio ANID
repository.mail.fl_str_mv aletelier@anid.cl
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