Weighted multifractal spectrum of \(V\)-statistics

DOI10.1007/s10884-020-09915-7OpenAlexW3109451494WikidataQ115383342 ScholiaQ115383342MaRDI QIDQ2134130

Fernando Vericat, Alejandro M. Mesón

Publication date: 6 May 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-020-09915-7

zbMATH Keywords

\(V\)-statisticsweighted multifractal spectrumweighted saturationweighted specification

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Topological entropy (37B40) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Weighted thermodynamic formalism on subshifts and applications
• Non-uniform specification and large deviations for weak Gibbs measures
• Variational principle for weighted topological pressure
• Generic points in systems of specification and Banach valued Birkhoff ergodic average
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Weighted topological entropy of the set of generic points in topological dynamical systems
• Beta-expansion and continued fraction expansion
• On the topological entropy of the irregular part of v-statistics multifractal spectra
• RECURRENCE, DIMENSION AND ENTROPY
• Weakly mixing PET
• On the variational principle for the topological entropy of certain non-compact sets
• Double recurrence and almost sure convergence.
• The Multifractal Spectra of V-Statistics
• Topological Entropy for Noncompact Sets
• Some Large Deviation Results for Dynamical Systems

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