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
| Autores: | , , , , |
|---|---|
| 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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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 |
| dc.type.driver.none.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.openaire.none.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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article |
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publishedVersion |
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15110096 |
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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 |
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eng |
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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/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial-SinDerivadas 3.0 Chile http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ |
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openAccess |
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Repositorio ANID |
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aletelier@anid.cl |
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1843518700917882880 |
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15.198674 |