Ruelle operator with weakly contractive iterated function systems
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Publication:2842236
DOI10.1017/S0143385712000211zbMath1273.37017MaRDI QIDQ2842236
Publication date: 13 August 2013
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (5)
Convergence speed of a Ruelle operator associated with a non-uniformly expanding conformal dynamical system and a Dini potential ⋮ Invariant measure for infinite weakly hyperbolic iterated function systems ⋮ Vector-valued Ruelle operator for weakly contractive IFS and Dini matrix potentials ⋮ Non-uniformly expanding dynamical systems: multi-dimension ⋮ Decay of correlations for weakly expanding dynamical systems with Dini potentials under optimal quasi-gap condition
Cites Work
- Unnamed Item
- Maps of intervals with indifferent fixed points: thermodynamic formalism and phase transitions
- Iterated function system and Ruelle operator
- Intermittency and regularized Fredholm determinants
- Recurrence times and rates of mixing
- A proof of the existence and simplicity of a maximal eigenvalue for Ruelle-Perron-Frobenius operators
- Multifractal analysis of weak Gibbs measures for intermittent systems
- Square summability of variations of \(g\)-functions and uniqueness of \(g\)-measures
- Statistical mechanics of a one-dimensional lattice gas
- Ruelle operator with nonexpansive IFS
- Ruelle operator theorem for non-expansive systems
- A natural space of functions for the Ruelle operator theorem
- On the structure of self-similar sets
- A probabilistic approach to intermittency
- Convergence of the Ruelle operator for a function satisfying Bowen’s condition
- Parabolic iterated function systems
- Decay of correlations for weakly expansive dynamical systems
- A PROOF OF THE RUELLE OPERATOR THEOREM
- Transfer operators acting on Zygmund functions
- The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- The radius of the essential spectrum
- On Ruelle-Perron-Frobenius operators. I: Ruelle theorem
- On Ruelle-Perron-Frobenius operators. II: Convergence speeds
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