Mixing automorphisms of compact groups and a theorem by Kurt Mahler

DOI10.2140/PJM.1989.137.371zbMath0678.22002OpenAlexW2053064452MaRDI QIDQ1123990

Klaus Schmidt

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2140/pjm.1989.137.371

zbMATH Keywords

shapeHaar measuredual groupdynamical propertiesdescending chain conditioncompact metrizable abelian group

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Automorphism groups of locally compact groups (22D45) Ergodic theory (37A99)

Related Items (8)

Mixing sets and relative entropies for higher-dimensional Markov shifts ⋮ Cohomological rigidity of algebraic ℤ^d-actions ⋮ Mixing properties of commuting nilmanifold automorphisms ⋮ Mahler measure and entropy for commuting automorphisms of compact groups ⋮ Almost block independence for the three dot \(\mathbb Z^ 2\) dynamical system ⋮ Mixing automorphisms of compact groups and a theorem of Schlickewei ⋮ Mahler's work and algebraic dynamical systems ⋮ The Bernoulli property for expansive \(\mathbb Z^ 2\) actions on compact groups

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