The upper capacity topological entropy of free semigroup actions for certain non-compact sets
From MaRDI portal
Publication:2658095
DOI10.1007/s10955-020-02693-yzbMath1476.37018OpenAlexW3118839170MaRDI QIDQ2658095
Publication date: 18 March 2021
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-020-02693-y
almost periodic pointspecification propertyirregular setfree semigroup actionslocal recurrence ratesupper capacity topological entropy
Topological entropy (37B40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamics in general topological spaces (37B02)
Related Items (5)
Topological entropy of free semigroup actions generated by proper maps for noncompact subsets ⋮ On the complexity of expansive measures of nonautonomous dynamical systems ⋮ Chain recurrence rates and topological entropy of free semigroup actions ⋮ Specification and shadowing properties of free semigroup actions ⋮ The upper capacity topological entropy of free semigroup actions for certain non-compact sets. II
Cites Work
- Unnamed Item
- Zero-one law of Hausdorff dimensions of the recurrent sets
- Topological pressure and topological entropy of a semigroup of maps
- A variational principle for free semigroup actions
- Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity
- Geometric entropy of foliations
- Weakly almost periodic point and measure centre
- Ergodic theory on compact spaces
- Topological entropy of irregular sets
- Topological entropy of free semigroup actions for noncompact sets
- Multifractal analysis of local entropies for expansive homeomorphisms with specification
- Entropies of a semigroup of maps
- Topological entropy of free semigroup actions and skew-product transformations
- Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
- Semigroup actions of expanding maps
- Dimension of sets of sequences defined in terms of recurrence of their prefixes
- Almost periodic points with respect to transformation semi-groups
- The Hausdorff dimension of recurrent sets in symbolic spaces
- Variational principles and mixed multifractal spectra
- Specification and thermodynamical properties of semigroup actions
- RECURRENCE, DIMENSION AND ENTROPY
- On the irregular points for systems with the shadowing property
- Foundations of Ergodic Theory
- The spectrum of Poincaré recurrence
- Entropy and data compression schemes
- On the variational principle for the topological entropy of certain non-compact sets
- Quantitative recurrence for free semigroup actions
- On the measure-theoretic entropy and topological pressure of free semigroup actions
- Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results
- On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity
- Topological Entropy for Noncompact Sets
- On the topological entropy of saturated sets
- Topological entropy for divergence points
- Powers of homeomorphisms with almost periodic properties
- Orbit-closure decompositions and almost periodic properties
This page was built for publication: The upper capacity topological entropy of free semigroup actions for certain non-compact sets