Ruelle operator theorem for non-expansive systems

DOI10.1017/S014338570900025XzbMath1185.37049arXiv0903.0876MaRDI QIDQ3558036

Yuan-Ling Ye, Yunping Jiang

Publication date: 29 April 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0876

Mathematics Subject Classification ID

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

Related Items (7)

Cocycles on groupoids arising from -actions ⋮ 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 ⋮ Ruelle operator for infinite conformal iterated function systems ⋮ 𝑊-Markov measures, transfer operators, wavelets and multiresolutions ⋮ Ruelle operator with weakly contractive iterated function systems ⋮ 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
• Statistical mechanics of a one-dimensional lattice gas
• 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
• Invariant measures for certain multi-dimensional maps
• 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
• Sur un Theoreme Spectral et son Application aux Noyaux Lipchitziens
• 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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