Optimization and majorization of invariant measures

DOI10.1090/S1079-6762-07-00170-9zbMath1186.37007OpenAlexW1824698562MaRDI QIDQ3432117

Oliver Jenkinson

Publication date: 13 April 2007

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1079-6762-07-00170-9

zbMATH Keywords

invariant measuresdilationmajorizationergodic optimization

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (10)

\(L^\infty\)-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 ⋮ Flattening functions on flowers ⋮ 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 ⋮ On a group theoretic generalization of the Morse-Hedlund theorem

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