A realization of the Pascal automorphism in the concatenation graph and the sum-of-digits function \(s_2(n)\)

DOI10.1007/s10958-013-1261-5zbMath1338.37016OpenAlexW1966372604MaRDI QIDQ357294

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

Publication date: 30 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1261-5

Mathematics Subject Classification ID

Applications of graph theory (05C90) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Word problems (aspects of algebraic structures) (08A50)

Related Items (3)

Limiting curves for the Pascal adic transformation ⋮ 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

Cites Work

• Unnamed Item
• Asymptotic behavior of the scaling entropy of the Pascal adic transformation
• Mellin transforms and asymptotics: Digital sums
• Measure-theoretic complexity of ergodic systems
• Sign-changes of the Thue-Morse fractal function and Dirichlet \(L\)-series
• Geometry and dynamics of admissible metrics in measure spaces
• Dynamical properties of the Pascal adic transformation
• Rarified sums of the Thue-Morse sequence

This page was built for publication: A realization of the Pascal automorphism in the concatenation graph and the sum-of-digits function \(s_2(n)\)