A partial order on \(\times 2\)-invariant measures

DOI10.4310/MRL.2008.v15.n5.a6zbMath1171.37005OpenAlexW1600296948MaRDI QIDQ1000608

Oliver Jenkinson

Publication date: 10 February 2009

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2008.v15.n5.a6

zbMATH Keywords

dynamical systeminvariant probability measureergodic optimizationSturmian measureSturmian sequence of rotation number

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Continued fractions and generalizations (11J70)

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Explicit examples in ergodic optimization ⋮ \(L^\infty\)-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization ⋮ Stochastic dominance for shift-invariant measures ⋮ Sturmian maximizing measures for the piecewise-linear cosine family ⋮ Symbol ratio minimax sequences in the lexicographic order ⋮ BALANCED WORDS AND MAJORIZATION ⋮ Majorization of invariant measures for orientation-reversing maps ⋮ Concave unimodal maps have no majorisation relations between their ergodic measures ⋮ Ergodic optimization in dynamical systems ⋮ An iterative process for approximating subactions ⋮ Support stability of maximizing measures for shifts of finite type

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