Invariant measures for certain expansive \(\mathbb{Z}^ 2\)-actions

DOI10.1007/BF02783217zbMath0829.28009OpenAlexW1991612960MaRDI QIDQ1895082

Klaus Schmidt

Publication date: 26 September 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02783217

zbMATH Keywords

invariant measuresmixingshift-actionshift-invariant subgroup

Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15)

Related Items (4)

Isomorphism rigidity of commuting automorphisms ⋮ Module shifts and measure rigidity in linear cellular automata ⋮ A method of defining central and Gibbs measures and the ergodic method ⋮ Planar dynamical systems with pure Lebesgue diffraction spectrum

Cites Work

• ×2 and ×3 invariant measures and entropy
• Automorphisms of Compact Abelian Groups and Affine Varieties
• Mixing sets and relative entropies for higher-dimensional Markov shifts
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
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