Ruelle operator for infinite conformal iterated function systems
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Publication:1937613
DOI10.1016/j.chaos.2012.09.001zbMath1258.37024OpenAlexW1998122233MaRDI QIDQ1937613
Xiao-Peng Chen, Yuan-Ling Ye, Li-Yan Wu
Publication date: 1 March 2013
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2012.09.001
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dimension theory of smooth dynamical systems (37C45)
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Cites Work
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- The thermodynamic formalism for expanding maps
- Transversal families of hyperbolic skew-products
- Separation conditions for conformal iterated function systems
- Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
- Hausdorff measure of infinitely generated self-similar sets
- Iterated function system and Ruelle operator
- Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
- Non-linear iterated function systems with overlaps
- Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
- Ruelle operator with nonexpansive IFS
- Hausdorff dimension of the limit set of conformal iterated function systems with overlaps
- Conformal iterated function systems with overlaps
- Ruelle operator theorem for non-expansive systems
- On Khintchine exponents and Lyapunov exponents of continued fractions
- Separation Properties for Self-Similar Sets
- Separation properties for self-conformal sets
- The OSC does not imply the SOSC for infinite iterated function systems
- Dimensions and Measures in Infinite Iterated Function Systems
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Gibbs states on the symbolic space over an infinite alphabet
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