The joinings within a class of \({\mathbb{Z}{}}^ 2\)-actions

DOI10.1007/BF03041064zbMath0774.28010MaRDI QIDQ1803630

E. Arthur jun. Robinson, Kyewon Koh Park

Publication date: 29 June 1993

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

weakly mixingminimal self joiningsactions of locally compact groupsChacon \(\mathbb{Z}^ 2\)-actionsChacon type automorphismsrank 1 cutting and stacking construction

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15)

Related Items (3)

A dynamical system with a \(Z^ 2\) centralizer ⋮ A primer of substitution tilings of the Euclidean plane ⋮ Rank-one ℤ^d actions and directional entropy

Cites Work

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• An example of a measure-preserving flow with minimal self-joinings
• The Shannon-McMillan-Breiman theorem for a class of amenable groups
• Chacon's automorphism has minimal self joinings
• An example of a measure preserving map with minimal self-joinings, and applications
• A criterion for a process to be prime
• A simple measure-preserving transformation with trivial centralizer
• The second centralizer of a Bernoulli shift is just its powers
• An uncountable family of K-automorphisms
• A Transformation with Simple Spectrum which is not Rank One
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Weakly Mixing Transformations Which are Not Strongly Mixing

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