On the Irregular Part ofV-Statistics Multifractal Spectra for Systems with Non-Uniform Specification

DOI10.1080/1726037X.2015.1027108zbMath1499.37058MaRDI QIDQ5069627

Fernando Vericat, Alejandro M. Mesón

Publication date: 19 April 2022

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

zbMATH Keywords

multifractal spectra\(V\)-statisticsnonuniform specification

Mathematics Subject Classification ID

Topological entropy (37B40) 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 (1)

Saturatedness of dynamical systems under the almost specification property

Cites Work

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• Generic points in systems of specification and Banach valued Birkhoff ergodic average
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• RECURRENCE, DIMENSION AND ENTROPY
• The irregular set for maps with the specification property has full topological pressure
• Weakly mixing PET
• On the variational principle for the topological entropy of certain non-compact sets
• Double recurrence and almost sure convergence.
• Topological Entropy for Noncompact Sets
• On the topological entropy of saturated sets
• Some Large Deviation Results for Dynamical Systems

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