An adic dynamical system related to the Delannoy numbers

DOI10.1017/S0143385711000472zbMath1257.37006arXiv1105.5505MaRDI QIDQ2908159

Karl E. Petersen

Publication date: 4 September 2012

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5505

zbMATH Keywords

invariant measuretotally ergodicDelannoy adic shift

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Enumerative combinatorics (05A99)

Related Items (1)

Invariant measures for Cantor dynamical systems

Uses Software

• OEIS

Cites Work

• The Euler adic dynamical system and path counts in the Euler graph
• Random permutations and unique fully supported ergodicity for the Euler adic transformation
• Limited scope adic transformations
• Binomial-coefficient multiples of irrationals
• The Pascal adic transformation is loosely Bernoulli
• Asymptotics of multivariate sequences. I: Smooth points of the singular variety
• Reinforced random walks and adic transformations
• A class of nonstationary adic transformations
• Why Delannoy numbers?
• Ergodicity of the adic transformation on the Euler graph
• Symmetric Gibbs measures
• Dynamical properties of the Pascal adic transformation

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