Saturatedness of dynamical systems under the almost specification property

DOI10.1080/1726037X.2016.1177917zbMath1499.37017OpenAlexW2484907354MaRDI QIDQ5069598

Fernando Vericat, Alejandro M. Mesón

Publication date: 19 April 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2016.1177917

zbMATH Keywords

\(V\)-statisticsalmost specification property

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dimension theory of smooth dynamical systems (37C45)

Related Items

On Bowen's entropy inequality and almost specification for flows

Cites Work

• Non-uniform specification and large deviations for weak Gibbs measures
• Generic points in systems of specification and Banach valued Birkhoff ergodic average
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• On the topological entropy of the irregular part of v-statistics multifractal spectra
• The irregular set for maps with the specification property has full topological pressure
• Weakly mixing PET
• Specification on the interval
• Symbolic dynamics for $\beta$-shifts and self-normal numbers
• On the variational principle for the topological entropy of certain non-compact sets
• Double recurrence and almost sure convergence.
• On the Irregular Part ofV-Statistics Multifractal Spectra for Systems with Non-Uniform Specification
• Topological Entropy for Noncompact Sets
• On the topological entropy of saturated sets
• Some Large Deviation Results for Dynamical Systems