Isomorphism rigidity in entropy rank two

DOI10.1007/BF02785368zbMath1156.28311arXivmath/0309161OpenAlexW2171998294WikidataQ61835162 ScholiaQ61835162MaRDI QIDQ2382250

Manfred Einsiedler, Thomas B. Ward

Publication date: 28 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0309161

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) General groups of measure-preserving transformations (28D15) Entropy and other invariants (28D20)

Related Items (2)

Isomorphism rigidity of commuting automorphisms ⋮ 𝐶*-algebras of homoclinic and heteroclinic structure in expansive dynamics

Cites Work

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• Mahler measure and entropy for commuting automorphisms of compact groups
• Almost block independence for the three dot \(\mathbb Z^ 2\) dynamical system
• Heights of polynomials and entropy in algebraic dynamics
• Isomorphism and measure rigidity for algebraic actions on zero-dimensional groups
• Rigidity of measurable structure for \(\mathbb Z^d\)-actions by automorphisms of a torus
• Almost block independence and Bernoullicity of \(\mathbb{Z}^ d\)-actions by automorphisms of compact Abelian groups
• Homoclinic points and isomorphism rigidity of algebraic \(\mathbb Z^d\)-actions on zero-dimensional compact abelian groups
• Higher order mixing and rigidity of algebraic actions on compact abelian groups
• Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids
• Invariant measures for higher-rank hyperbolic abelian actions
• Entropy geometry and disjointness for zero-dimensional algebraic actions
• Dynamical systems of algebraic origin
• Isomorphism rigidity of irreducible algebraic \(\mathbb{Z}^d\)-actions

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