Rigidity of commutative non-hyperbolic actions by toral automorphisms

DOI10.1017/S0143385711000484zbMath1278.37007arXiv1101.0321OpenAlexW2963788883MaRDI QIDQ4911047

Zhiren Wang

Publication date: 13 March 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0321

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Orbit growth in dynamical systems (37C35) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (2)

A solution to the pyjama problem ⋮ Rigidity properties for commuting automorphisms on tori and solenoids

Cites Work

• Linear equations in variables which lie in a multiplicative group
• Algebraic $\mathbb {Z}^d$-actions of entropy rank one
• Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids
• Invariant measures for higher-rank hyperbolic abelian actions
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Expansive Subdynamics
• Dynamical systems of algebraic origin

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