Mean dimension, small entropy factors and an embedding theorem
From MaRDI portal
Publication:1594561
DOI10.1007/BF02698858zbMath0978.54027OpenAlexW2070509948MaRDI QIDQ1594561
Publication date: 22 March 2001
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1999__89__227_0
Related Items (96)
Tail pressure and the tail entropy function ⋮ Mean dimension and Jaworski-type theorems ⋮ Mean dimension of full shifts ⋮ Mean dimension, mean rank, and von Neumann-Lück rank ⋮ Gauge theory on infinite connected sum and mean dimension ⋮ Mean dimension of \({\mathbb{Z}^k}\)-actions ⋮ Dimensions of stable sets and scrambled sets in positive finite entropy systems ⋮ Moduli Space of Brody Curves, Energy and Mean Dimension ⋮ Mean dimension and a non-embeddable example for amenable group actions ⋮ Shadowing and mixing on systems of countable group actions ⋮ Lowering topological entropy over subsets revisited ⋮ Comparison radius and mean topological dimension: Rokhlin property, comparison of open sets, and subhomogeneous C*-algebras ⋮ Dynamics in dimension zero A survey ⋮ Mean dimension and a sharp embedding theorem: extensions of aperiodic subshifts ⋮ REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION ⋮ Zero-dimensional principal extensions ⋮ Embedding asymptotically expansive systems ⋮ Variational principles for amenable metric mean dimensions ⋮ Metric mean dimension for algebraic actions of Sofic groups ⋮ Embedding minimal dynamical systems into Hilbert cubes ⋮ Mean dimension and metric mean dimension for non-autonomous dynamical systems ⋮ Application of waist inequality to entropy and mean dimension ⋮ Sub-additive topological and measure-theoretic tail pressures ⋮ \(G\)-index, topological dynamics and the marker property ⋮ Uniform generators, symbolic extensions with an embedding, and structure of periodic orbits ⋮ Bowen’s equations for upper metric mean dimension with potential ⋮ Symbolic extensions and uniform generators for topological regular flows ⋮ Invariant ergodic measures and the classification of crossed product \(C^{\ast}\)-algebras ⋮ Embedding theorems for discrete dynamical systems and topological flows ⋮ Finite mean dimension and marker property ⋮ Double variational principle for mean dimensions with sub-additive potentials ⋮ Variational equalities of entropy in nonuniformly hyperbolic systems ⋮ Instanton approximation, periodic ASD connections, and mean dimension ⋮ On embeddings of extensions of almost finite actions into cubical shifts ⋮ Dynamical comparison and \(\mathcal{Z} \)-stability for crossed products of simple \(C^\ast \)-algebras ⋮ Polynomial mean complexity and logarithmic Sarnak conjecture ⋮ Mean dimension of the dynamical system of Brody curves ⋮ The embedding problem in topological dynamics and Takens’ theorem ⋮ Sofic mean dimension ⋮ Weighted mean topological dimension ⋮ Embedding topological dynamical systems with periodic points in cubical shifts ⋮ An explicit compact universal space for real flows ⋮ \(\mathcal{C}^{2}\) surface diffeomorphisms have symbolic extensions ⋮ Mean topological dimension ⋮ Zero-dimensional isomorphic dynamical models ⋮ Expansive multiparameter actions and mean dimension ⋮ Mean dimension and an embedding theorem for real flows ⋮ Embedding ℤk-actions in cubical shifts and ℤk-symbolic extensions ⋮ Faces of simplexes of invariant measures ⋮ A Lipschitz refinement of the Bebutov-Kakutani dynamical embedding theorem ⋮ Local mean dimension of ASD moduli spaces over the cylinder ⋮ Tail variational principle for a countable discrete amenable group action ⋮ Upper metric mean dimensions with potential on subsets ⋮ Genericity of continuous maps with positive metric mean dimension ⋮ The convergence of Borel probability measures and its applications to topological dynamics ⋮ Minimal models for noninvertible and not uniquely ergodic systems ⋮ Scaled pressure of continuous flows* ⋮ Jaworski-type embedding theorems of one-sided dynamical systems ⋮ Minimal subshifts of arbitrary mean topological dimension ⋮ Rokhlin dimension for flows ⋮ Mean dimension and AH-algebras with diagonal maps ⋮ Variational principles for topological entropies of subsets ⋮ Topological entropy zero and asymptotic pairs ⋮ Mean dimension and an embedding problem: an example ⋮ Lowering topological entropy over subsets ⋮ Symbolic extensions and smooth dynamical systems ⋮ Ergodic universality of some topological dynamical systems ⋮ Large dynamics of Yang-Mills theory: mean dimension formula ⋮ Minimal systems of arbitrary large mean topological dimension ⋮ Amenable upper mean dimensions ⋮ Double variational principle for mean dimension with potential ⋮ A direct proof of the tail variational principle and its extension to maps ⋮ Variational principle for topological tail pressures with sub-additive upper semi-continuous potentials ⋮ Almost finiteness and the small boundary property ⋮ 𝒵-stability of transformation group C*-algebras ⋮ Generic homeomorphisms have full metric mean dimension ⋮ Weighted upper metric mean dimension for amenable group actions ⋮ A Packing Problem for Holomorphic Curves ⋮ Covering dimension of Cuntz semigroups ⋮ Deformation of Brody curves and mean dimension ⋮ Double variational principle for mean dimension ⋮ Sofic mean length ⋮ Upper metric mean dimensions with potential ⋮ The symbolic extension theory in topological dynamics ⋮ Zero-dimensional and symbolic extensions of topological flows ⋮ Brody curves and mean dimension ⋮ Rescaled entropy of cellular automata ⋮ Symbolic dynamics in mean dimension theory ⋮ Mean topological dimension for random bundle transformations ⋮ Application of signal analysis to the embedding problem of \({\mathbb{Z}}^k\)-actions ⋮ Ubiquity of entropies of intermediate factors ⋮ Directional mean dimension and continuum-wise expansive ℤ^{𝕜}-actions ⋮ Takens-type reconstruction theorems of one-sided dynamical systems ⋮ Entropy and actions of sofic groups ⋮ Entropy structure ⋮ Extreme entropy versus growth rates of periodic orbits in equivalent flows
Cites Work
This page was built for publication: Mean dimension, small entropy factors and an embedding theorem