A sufficient condition for weak mixing of subtitutions and stationary adic transformations

DOI10.1007/BF01158030zbMath0713.28011OpenAlexW2048546050MaRDI QIDQ749692

A. N. Livshits

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158030

zbMATH Keywords

adic transformationspermutation transformationsweak intermixing

Mathematics Subject Classification ID

Measure-preserving transformations (28D05)

Related Items (9)

Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1 ⋮ Minimality and unique ergodicity for adic transformations ⋮ Dynamical properties of some adic systems with arbitrary orderings ⋮ Symmetric Gibbs measures ⋮ Hölder regularity for the spectrum of translation flows ⋮ Invariant measures on stationary Bratteli diagrams ⋮ Substitution dynamical systems : algebraic characterization of eigenvalues ⋮ Arithmetic and dynamical properties of the Rauzy fractal ⋮ Prefix-suffix automaton associated with a primitive substitution

Cites Work

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• A theorem on the Markov periodic approximation in ergodic theory
• A topological invariant of substitution minimal sets
• Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
• Mixing properties of substitutions
• Coincidence values and spectra of substitutions
• Substitution Minimal Flows
• Minimal flows arising from substitutions of non-constant length
• Substitution Minimal Sets

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