Mixing properties of (α,β)-expansions

DOI10.1017/S0143385708000709zbMath1180.37050MaRDI QIDQ3399050

Yusuf Hartono, Karma Dajani, Cornelis Kraaikamp

Publication date: 29 September 2009

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

zbMATH Keywords

invariant measure\((\alpha,\beta)\)-expansionsweakly Bernoulli

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Eigenfunctions of the Perron–Frobenius operators for generalized beta-maps ⋮ Invariant densities for random systems of the interval

Cites Work

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• Invariant measures for piecewise linear transformations of the interval
• The natural extension of the \(\beta\)-transformation
• Ergodic properties of certain linear mod one transformations
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• The lap-counting function for linear mod one transformations III: the period of a Markov chain
• Piecewise linear interval maps both expanding and contracting
• Absolutely Continuous Invariant Measures for a Class of Affine Interval Exchange Maps
• On induced transformations of Bernoulli shifts

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