Independence and Alpern multitowers

DOI10.1080/14689367.2018.1504891zbMath1419.37004arXiv1806.02749OpenAlexW2964268347MaRDI QIDQ5742432

Alistair Windsor, James T. Campbell, Randall McCutcheon

Publication date: 14 May 2019

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.02749

zbMATH Keywords

probability spaceindependent setsmeasure-preserving transformationRohlin towerAlpern tower

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Probabilistic measure theory (60A10) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (1)

Local limit theorem in deterministic systems

Cites Work

• Multiple Rokhlin tower theorem: A simple proof
• Partitions of the phase space of a measure preserving \(\mathbb{Z}^d\)-action into towers
• Bernoulli shifts with the same entropy are isomorphic
• Infinite partitions and Rokhlin towers
• MultiTowers, conjugacies and codes: Three theorems in Ergodic theory, one variation on Rokhlin’s Lemma
• The ℤ^dAlpern multi-tower theorem for rectangles: a tiling approach
• Return times and conjugates of an antiperiodic transformation
• An Alpern tower independent of a given partition
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