Sofic mean dimension
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Publication:2437421
DOI10.1016/J.AIM.2013.05.005zbMath1353.37018arXiv1105.0140OpenAlexW2963375143MaRDI QIDQ2437421
Publication date: 3 March 2014
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.0140
Geometric group theory (20F65) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Related Items (23)
Fuglede-Kadison determinants and sofic entropy ⋮ Mean dimension, mean rank, and von Neumann-Lück rank ⋮ Mean dimension of \({\mathbb{Z}^k}\)-actions ⋮ Mean dimension and a non-embeddable example for amenable group actions ⋮ Variational principles for amenable metric mean dimensions ⋮ Metric mean dimension for algebraic actions of Sofic groups ⋮ Mean dimension and metric mean dimension for non-autonomous dynamical systems ⋮ Polynomial entropy of amenable group actions for noncompact sets ⋮ Locally compact sofic groups ⋮ Mean dimension of product spaces: a fundamental formula ⋮ On embeddings of extensions of almost finite actions into cubical shifts ⋮ POLISH MODELS AND SOFIC ENTROPY ⋮ Bowen topological entropy of subsets for amenable group actions ⋮ Dynamical correspondences of \(L^2\)-Betti numbers ⋮ Tail variational principle for a countable discrete amenable group action ⋮ Entropy on modules over the group ring of a sofic group ⋮ A Billingsley-type theorem for the pressure of an action of an amenable group ⋮ Amenable upper mean dimensions ⋮ Sofic mean length ⋮ Local and doubly empirical convergence and the entropy of algebraic actions of sofic groups ⋮ Mean topological dimension for random bundle transformations ⋮ Harmonic models and Bernoullicity ⋮ Entropy and actions of sofic groups
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