Which beta-shifts have a largest invariant measure?

DOI10.1112/jlms/jdn070zbMath1165.37005OpenAlexW2128718506MaRDI QIDQ3621294

Oliver Jenkinson, Vasso Anagnostopoulou

Publication date: 16 April 2009

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

Full work available at URL: https://doi.org/10.1112/jlms/jdn070

zbMATH Keywords

invariant measuressymbolic dynamicsstochastic dominancebeta-shiftSturmian measuresshift-orbit

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Rotation numbers and vectors (37E45)

Related Items (5)

Stochastic dominance for shift-invariant measures ⋮ Sturmian maximizing measures for the piecewise-linear cosine family ⋮ Majorization of invariant measures for orientation-reversing maps ⋮ Ergodic optimization in dynamical systems ⋮ On a group theoretic generalization of the Morse-Hedlund theorem

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