The Erdős-Vershik problem for the golden ratio

DOI10.1007/S10688-010-0012-3zbMath1231.28015OpenAlexW2080366364MaRDI QIDQ2430772

Z. I. Bezhaeva, Valery I. Oseledets

Publication date: 8 April 2011

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-010-0012-3

zbMATH Keywords

entropyhidden Markov chainErdős measureHausdorff dimension of a measureintegral automorphismgolden shiftinvariant Erdős measure

Mathematics Subject Classification ID

Combinatorial probability (60C05) Entropy and other invariants (28D20) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (1)

Absolute continuity and singularity of spectra for the flows \(T_t\otimes T_{at}\)

Cites Work

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• Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems
• The limited Rademacher functions and Bernoulli convolutions associated with Pisot numbers
• Random Series in Powers of Algebraic Integers: Hausdorff Dimension of the Limit Distribution

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