The Euler adic dynamical system and path counts in the Euler graph

DOI10.3836/tjm/1296483473zbMath1213.37008arXiv0811.1733OpenAlexW2963320987MaRDI QIDQ632478

Alexander Varchenko, Karl E. Petersen

Publication date: 25 March 2011

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1733

zbMATH Keywords

Euler graphunique invariant measureBratteli--Vershik system

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (7)

Path count asymptotics and Stirling numbers ⋮ An adic dynamical system related to the Delannoy numbers ⋮ Dimension groups for polynomial odometers ⋮ Reinforced random walks and adic transformations ⋮ Invariant measures for Cantor dynamical systems ⋮ Boundaries from Inhomogeneous Bernoulli Trials ⋮ Scaling entropy and automorphisms with pure point spectrum

Cites Work

• Random permutations and unique fully supported ergodicity for the Euler adic transformation
• Locally semisimple algebras. Combinatorial theory and the \(K_ 0\)- functor
• Asymptotic theory of characters of the symmetric group
• Reinforced random walks and adic transformations
• Ergodicity of the adic transformation on the Euler graph
• Symmetric Gibbs measures
• Dynamical properties of the Pascal adic transformation
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
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