Poisson limit distribution for diffeomorphisms with weak hyperbolic product structure
From MaRDI portal
Publication:6183676
DOI10.14321/realanalexch.48.2.1659596483MaRDI QIDQ6183676
Publication date: 4 January 2024
Published in: Real Analysis Exchange (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/real-analysis-exchange/volume-48/issue-2/Poisson-Limit-Distribution-for-Diffeomorphisms-with-Weak-Hyperbolic-Product-Structure/10.14321/realanalexch.48.2.1659596483.full
Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limiting distribution and error terms for the number of visits to balls in non-uniformly hyperbolic dynamical systems
- Diffeomorphisms admitting SRB measures and their regularity
- Decay of correlations for some partially hyperbolic diffeomorphisms
- Two moments suffice for Poisson approximations: The Chen-Stein method
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- Dimension and product structure of hyperbolic measures
- Projective metrics and mixing properties on towers
- Poisson law for some non-uniformly hyperbolic dynamical systems with polynomial rate of mixing
- Poincaré recurrence for observations
- A proof of the estimation from below in Pesin's entropy formula
- Dimension, entropy and Lyapunov exponents
- Poisson limit law for Markov chains
- Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’
- Poisson law for Axiom A diffeomorphisms
- Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems
- Return times distribution for Markov towers with decay of correlations
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Hausdorff dimension of measures via Poincaré recurrence
