Measures of maximal entropy for random \(\beta\)-expansions

DOI10.4171/JEMS/21zbMath1074.28008MaRDI QIDQ1769380

Karma Dajani, Martijn de Vries

Publication date: 21 March 2005

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

Markov chainsgreedy expansionslazy expansionsmeasures of maximal entropyParry measure

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

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Cites Work

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• From greedy to lazy expansions and their driving dynamics
• Random \beta-expansions
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
• On a Family of Symmetric Bernoulli Convolutions