Zero entropy systems

DOI10.1007/s10955-010-0019-4zbMath1198.37007OpenAlexW2080196122MaRDI QIDQ1958567

Wen-Chiao Cheng, Bing Li

Publication date: 4 October 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-010-0019-4

zbMATH Keywords

affinitydynamical systemssymbolic dynamicsconditional entropyentropy dimensionpower rule

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Symbolic dynamics (37B10)

Related Items (11)

Topological pressure dimension ⋮ Entropy dimension of shifts of finite type on free groups ⋮ Some results on entropy dimension for non-autonomous systems ⋮ Entropy dimension of shift spaces on monoids ⋮ Some properties of topological pressure of a semigroup of continuous maps ⋮ Topological entropy dimension for noncompact sets ⋮ Different forms of entropy dimension for zero entropy systems ⋮ Entropy dimension of topological dynamical systems ⋮ Topological pressure dimension for almost additive potentials ⋮ Preimage entropy dimension of topological dynamical systems ⋮ Scaled entropy for dynamical systems

Cites Work

• Reachability problems and abstract state spaces for time Petri nets with stopwatches
• The speed of convergence in the ergodic theorem
• Structure of mappings of an interval with zero entropy
• Slow entropy type invariants and smooth realization of commuting measure-preserving transformations
• Measure-theoretic complexity of ergodic systems
• On directional entropy functions
• A local variational principle of pressure and its applications to equilibrium states
• Fiber entropy and conditional variational principles in compact non-metrizable spaces
• Smooth chaotic maps with zero topological entropy
• Entropy dimension of topological dynamical systems
• Possible rates of entropy convergence
• A local variational principle for conditional entropy
• Topological disjointness from entropy zero systems
• Local entropy theory
• Entropy of piecewise monotone mappings
• A local variational principle for the topological entropy
• Topics from One-Dimensional Dynamics
• Entropy for Group Endomorphisms and Homogeneous Spaces
• On the Cost of Adjustment
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