On the Billingsley dimension of Birkhoff average in the countable symbolic space

DOI10.5802/CRMATH.21zbMath1445.28005OpenAlexW3041516397MaRDI QIDQ784364

Najmeddine Attia, Bilel Selmi

Publication date: 3 August 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.21

zbMATH Keywords

level setGibbs measuresBillingsley dimension

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Fractals (28A80) Symbolic dynamics (37B10) Dimension theory of smooth dynamical systems (37C45)

Related Items (6)

A relative multifractal analysis ⋮ A relative multifractal analysis: box-dimensions, densities, and projections ⋮ Projections and slices of measures ⋮ Appendix to the paper ``On the Billingsley dimension of Birkhoff average in the countable symbolic space ⋮ A note on the multifractal Hewitt-Stromberg measures in a probability space ⋮ The mutual singularity of the relative multifractal measures

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