Scaling entropy sequence: invariance and examples

DOI10.1007/s10958-015-2536-9zbMath1344.37009OpenAlexW2255641863MaRDI QIDQ748499

Pavel B. Zatitskiy

Publication date: 29 October 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2536-9

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (7)

On the possible growth rate of a scaling entropy sequence ⋮ The scaling entropy of a generic action ⋮ Universal adic approximation, invariant measures and scaled entropy ⋮ The theory of filtrations of subalgebras, standardness, and independence ⋮ Dynamics of metrics in measure spaces and scaling entropy ⋮ Non-existence of a universal zero entropy system for non-periodic amenable group actions ⋮ Scaling entropy of unstable systems

Cites Work

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• Substitution dynamical systems. Spectral analysis
• Slow entropy type invariants and smooth realization of commuting measure-preserving transformations
• Measure-theoretic complexity of ergodic systems
• Correction of metrics
• Geometry and dynamics of admissible metrics in measure spaces
• On a scaling entropy sequence of a dynamical system
• A topological invariant of substitution minimal sets
• Scaling entropy and automorphisms with pure point spectrum
• Scaled Entropy of Filtrations of $\sigma$-Fields
• Dynamics of metrics in measure spaces and their asymptotic invariants
• The spectrum of dynamical systems arising from substitutions of constant length
• Virtual continuity of measurable functions and its applications
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
• Substitution Minimal Flows

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