Genericity in topological dynamics

DOI10.1017/S0143385707000521zbMath1171.37305arXivmath/0605386OpenAlexW3105219404MaRDI QIDQ5441422

Michael Hochman

Publication date: 13 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0605386

Mathematics Subject Classification ID

Related Items (23)

Rohlin properties for $\mathbb{Z}^{d}$ actions on the Cantor set ⋮ Minimal ambient nuclear \(C^\ast\)-algebras ⋮ Linear dynamics induced by odometers ⋮ Reversing and extended symmetries of shift spaces ⋮ Simple equivariant \(\mathrm{C}^\ast\)-algebras whose full and reduced crossed products coincide ⋮ Special homeomorphisms and approximation for Cantor systems ⋮ Embedding theorems for discrete dynamical systems and topological flows ⋮ On the structure of generic subshifts ⋮ The embedding problem in topological dynamics and Takens’ theorem ⋮ A topological dynamical system on the Cantor set approximates its factors and its natural extension ⋮ Conjugacy in the Cantor set automorphism group ⋮ Generic stationary measures and actions ⋮ Chaotic behaviour of the map \(x\mapsto\omega(x,f)\) ⋮ Graph theoretic structure of maps of the Cantor space ⋮ Symbolic dynamics on amenable groups: the entropy of generic shifts ⋮ Generic dynamics on compact metric spaces ⋮ C*-algebras of a Cantor system with finitely many minimal subsets: structures, K-theories, and the index map ⋮ Følner tilings for actions of amenable groups ⋮ Genericity of infinite entropy for maps with low regularity ⋮ Chaos among self-maps of the Cantor space ⋮ The space of adding machines generated by continuous self maps of manifolds ⋮ Spectral continuity for aperiodic quantum systems: Applications of a folklore theorem ⋮ Maximal chain continuous factor

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