Exponential rate of decay of correlations of equilibrium states associated with non-uniformly expanding circle maps
DOI10.1088/1361-6544/ad26d6arXiv2309.09144OpenAlexW4391947488MaRDI QIDQ6120889
Irene Inoquio-Renteria, Eduardo Garibaldi
Publication date: 21 February 2024
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.09144
Central limit and other weak theorems (60F05) Dynamical systems involving maps of the circle (37E10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Cites Work
- Unnamed Item
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- Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
- Théorèmes limites pour une classe de chaînes de Markov et applications aux difféomorphismes d'Anosov. (Limit theorems for a class of Markov chains and applications to Anosov diffeomorphisms)
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- Subexponential decay of correlations
- Central limit theorem and stable laws for intermittent maps
- Sharp polynomial estimates for the decay of correlations
- Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
- Equilibrium states of weakly hyperbolic one-dimensional maps for Hölder potentials
- A Ruelle-Perron-Frobenius theorem for expanding circle maps with an indifferent fixed point
- Exact bounds for the polynomial decay of correlation, 1/fnoise and the CLT for the equilibrium state of a non-Hölder potential
- Equilibrium states of interval maps for hyperbolic potentials
- Foundations of Ergodic Theory
- Conformal measure and decay of correlation for covering weighted systems
- A probabilistic approach to intermittency
- Slowly mixing systems and intermittency maps
- Ruelle Perron Frobenius spectrum for Anosov maps
- Thermodynamic Formalism
- Locating Ruelle–Pollicott resonances*
- An optimal transportation approach to the decay of correlations for non-uniformly expanding maps
- Sur des chaînes à liaisons complètes
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Regularly varying functions
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