Decay in norm of transfer operators for semiflows
DOI10.4064/sm210410-7-3zbMath1503.37041arXiv2102.00026OpenAlexW3127798938MaRDI QIDQ5094159
Nicolò Paviato, Dalia Terhesiu, Ian Melbourne
Publication date: 2 August 2022
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00026
Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Renewal theory (60K05)
Cites Work
- Unnamed Item
- Unnamed Item
- Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor
- Operator renewal theory for continuous time dynamical systems with finite and infinite measure
- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- Exponential mixing for the Teichmüller flow
- On the rate of mixing of Axiom A flows
- On decay of correlations in Anosov flows
- Ergodic properties of invariant measures for piecewise monotonic transformations
- Statistical properties of dynamical systems with some hyperbolicity
- On contact Anosov flows
- Absolutely continuous invariant measures for multidimensional expanding maps
- Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems
- Rate of convergence in the weak invariance principle for deterministic systems
- Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
- A note on operator semigroups associated to chaotic flows
- Quasi-compactness of transfer operators for contact Anosov flows
- Generalized bounded variation and applications to piecewise monotonic transformations
- Bounded variation and invariant measures
- Ergodic Theory for Markov Fibred Systems and Parabolic Rational Maps
- Prevalence of rapid mixing in hyperbolic flows
- LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
- Superpolynomial and polynomial mixing for semiflows and flows
- Rates of mixing for non-Markov infinite measure semiflows
- Exponential decay of correlations for surface semi-flows without finite Markov partitions
- Multidimensional expanding maps with singularities: a pedestrian approach
- Decay of correlations in suspension semi-flows of angle-multiplying maps
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
This page was built for publication: Decay in norm of transfer operators for semiflows