Asymptotic behavior of the scaling entropy of the Pascal adic transformation

DOI10.1007/s10958-011-0278-xzbMath1335.37002OpenAlexW2039589912MaRDI QIDQ389087

A. R. Minabutdinov, A. A. Lodkin, I. E. Manaev

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0278-x

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (7)

Limiting curves for the Pascal adic transformation ⋮ A realization of the Pascal automorphism in the concatenation graph and the sum-of-digits function \(s_2(n)\) ⋮ The Pascal automorphism has a continuous spectrum ⋮ Dynamics of metrics in measure spaces and scaling entropy ⋮ The Kruskal-Katona function, Conway sequence, Takagi curve, and Pascal adic ⋮ Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure ⋮ Scaling entropy and automorphisms with pure point spectrum

Cites Work

• Measure-theoretic complexity of ergodic systems
• The Pascal adic transformation is loosely Bernoulli
• Dynamic theory of growth in groups: Entropy, boundaries, examples
• Scaled Entropy of Filtrations of $\sigma$-Fields
• Dynamics of metrics in measure spaces and their asymptotic invariants
• Symmetric Gibbs measures
• Dynamical properties of the Pascal adic transformation
• Inductive Limits of Finite Dimensional C ∗ -Algebras
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