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

Detalles Bibliográficos
Autores: Dong, P., Donoso, S., Maass, A., Shao, S., Ye, X.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2013
País:Chile
Idioma:inglés
OAI Identifier:oai:repositorio.anid.cl:10533/238520
Acceso en línea:https://hdl.handle.net/10533/238520
Access Level:acceso abierto
Descripción
Sumario: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