Random permutations and unique fully supported ergodicity for the Euler adic transformation

DOI10.1214/07-AIHP133zbMath1175.37005arXiv0708.1232MaRDI QIDQ731704

Sarah Bailey Frick, Karl E. Petersen

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1232

zbMATH Keywords

invariant measuresergodic transformationsEulerian numbersrandom permutationsBratteli diagramsadic transformationrises and falls

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Dynamical aspects of measure-preserving transformations (37A05) Topological dynamics (37B99) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Statistical ranking and selection procedures (62F07)

Related Items (10)

Path count asymptotics and Stirling numbers ⋮ An adic dynamical system related to the Delannoy numbers ⋮ Dimension groups for polynomial odometers ⋮ The Euler adic dynamical system and path counts in the Euler graph ⋮ Reinforced random walks and adic transformations ⋮ Invariant measures for Cantor dynamical systems ⋮ Boundaries from Inhomogeneous Bernoulli Trials ⋮ Generalisations of the Euler adic ⋮ NONSTATIONARY MIXING AND THE UNIQUE ERGODICITY OF ADIC TRANSFORMATIONS ⋮ Finite rank Bratteli diagrams: Structure of invariant measures

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• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Equivalence of measure preserving transformations
• Asymptotic properties of eulerian numbers
• Joint distribution of rises and falls

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