Ruelle operator with nonexpansive IFS on the line

DOI10.1016/J.JMAA.2006.07.090zbMath1109.37022OpenAlexW1967076016MaRDI QIDQ874953

Yuan-Ling Ye

Publication date: 10 April 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.090

zbMATH Keywords

Ruelle operatornonexpansive mapPerron-Frobenius propertyweakly contractive map

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

• Iterated function system and Ruelle operator
• Statistical mechanics of a one-dimensional lattice gas
• Ruelle operators: functions which are harmonic with respect to a transfer operator
• Ruelle operator with nonexpansive IFS
• On the structure of self-similar sets
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Ruelle's Operator Theorem and g-Measures
• A probabilistic approach to intermittency
• Parabolic iterated function systems
• Decay of correlations for piecewise smooth maps with indifferent fixed points
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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