The Pascal adic transformation is loosely Bernoulli

DOI10.1016/S0246-0203(03)00062-1zbMath1044.28012OpenAlexW4252862002MaRDI QIDQ1434439

Élise Janvresse, Thierry De La Rue

Publication date: 4 August 2004

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

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2004__40_2_133_0

zbMATH Keywords

adic transformationloosely Bernoulli systems

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (12)

Limiting curves for the Pascal adic transformation ⋮ An adic dynamical system related to the Delannoy numbers ⋮ Asymptotic theory of path spaces of graded graphs and its applications ⋮ The Pascal automorphism has a continuous spectrum ⋮ Limiting curves for polynomial adic systems ⋮ Asymptotic behavior of the scaling entropy of the Pascal adic transformation ⋮ On topological models of zero entropy loosely Bernoulli systems ⋮ Limiting curves for the dyadic odometer ⋮ Reinforced random walks and adic transformations ⋮ 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 ⋮ Smooth, mixing transformations with loosely Bernoulli Cartesian square

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