Algebraic $\mathbb {Z}^d$-actions of entropy rank one

DOI10.1090/S0002-9947-04-03554-8zbMath1033.37002OpenAlexW1539421404MaRDI QIDQ4452263

Manfred Einsiedler, Douglas Lind

Publication date: 12 February 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03554-8

zbMATH Keywords

local fieldsalgebraic dynamical systemsrigidity phenomenaentropy rankautomorphisms of compact Abelian groups

Mathematics Subject Classification ID

Related Items (18)

Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ Directional entropy dimension of topological dynamical systems ⋮ Directional entropy of ℤ+k-actions ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ Forward expansiveness and entropies for subsystems of \(\mathbb{Z}_+^k\)-actions ⋮ Entropies of commuting transformations on Hilbert spaces ⋮ Topological self-joinings of Cartan actions by toral automorphisms ⋮ A note on two types of Lyapunov exponents and entropies for \(\mathbb{Z}^k\)-actions ⋮ Entropy formula for random ℤ^{𝕜}-actions ⋮ The dynamical zeta function for commuting automorphisms of zero-dimensional groups ⋮ Rigidity of commutative non-hyperbolic actions by toral automorphisms ⋮ Uniform periodic point growth in entropy rank one ⋮ Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids ⋮ Finitely represented closed-orbit subdynamics for commuting automorphisms ⋮ Synchronization points and associated dynamical invariants ⋮ A natural boundary for the dynamical zeta function for commuting group automorphisms ⋮ Rigidity properties for commuting automorphisms on tori and solenoids ⋮ Directional uniformities, periodic points, and entropy

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