On the topological entropy of the irregular part of v-statistics multifractal spectra

DOI10.1080/1726037X.2013.810440zbMath1306.37028OpenAlexW1999350472MaRDI QIDQ2935034

Fernando Vericat, Alejandro M. Mesón

Publication date: 22 December 2014

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.2013.810440

zbMATH Keywords

topological entropymultifractal spectra\(V\)-statistics

Mathematics Subject Classification ID

Topological entropy (37B40) Dimension theory of smooth dynamical systems (37C45)

Related Items (5)

Weighted multifractal spectrum of \(V\)-statistics ⋮ Saturatedness of dynamical systems under the almost specification property ⋮ On the Irregular Part ofV-Statistics Multifractal Spectra for Systems with Non-Uniform Specification ⋮ On a Multifractal Pressure for Countable Markov Shifts ⋮ On a Multifractal Pressure for Suspension Flows

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
• Invariant sets with zero measure and full Hausdorff dimension
• On the variational principle for the topological entropy of certain non-compact sets
• On the topological entropy of saturated sets

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