Choquet simplices as spaces of invariant probability measures on post-critical sets

DOI10.1016/j.anihpc.2009.07.008zbMath1192.37053arXiv0901.3835OpenAlexW2083266554MaRDI QIDQ846391

María Isabel Cortez, Juan Rivera-Letelier

Publication date: 9 February 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3835

zbMATH Keywords

invariant measureslogistic mapergodic measuresminimal Cantor systemweak* topologyChoquet simplicescutting timesgeneralized odometerkneading mappost-critical setToeplitz flows

Mathematics Subject Classification ID

Related Items (5)

On ergodic decompositions related to the Kantorovich problem ⋮ Real bounds and Lyapunov exponents ⋮ High-order phase transitions in the quadratic family ⋮ Topological orbit equivalence classes and numeration scales of logistic maps ⋮ Invariant measures and orbit equivalence for generalized Toeplitz subshifts

Cites Work

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• Invariant measures of minimal post-critical sets of logistic maps
• Topological entropy of the transformation \(x\mapsto ax(1-x)\)
• The Choquet simplex of invariant measures for minimal flows
• Strong orbit realization for minimal homeomorphisms
• Algebraic topology for minimal Cantor sets
• Banach spaces whose duals are \(L_ 1\) spaces and their representing matrices
• Lyapunov Characteristic Exponents are Nonnegative
• Realization of a Choquet simplex as the set of invariant probability measures of a tiling system
• Substitutional dynamical systems, Bratteli diagrams and dimension groups
• Some properties of absolutely continuous invariant measures on an interval
• Measurable dynamics of $S$-unimodal maps of the interval
• A New Proof that every Polish Space is the Extreme Boundary of a Simplex
• Adding machines and wild attractors
• COMBINATORICS OF THE KNEADING MAP
• Minimal Cantor Systems and Unimodal Maps
• Dynamiques associees a une echelle de numeration
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Bratteli–Vershik models for Cantor minimal systems: applications to Toeplitz flows
• Odometers and systems of numeration
• Strange adding machines

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