Poisson approximations and convergence rates for hyperbolic dynamical systems
DOI10.1007/s00220-022-04309-wzbMath1500.37009arXiv2103.05418OpenAlexW4226067568WikidataQ114230927 ScholiaQ114230927MaRDI QIDQ2113478
Yaofeng Su, Leonid A. Bunimovich
Publication date: 14 March 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05418
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with singularities (billiards, etc.) (37C83)
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- Limiting distribution and error terms for the number of visits to balls in non-uniformly hyperbolic dynamical systems
- The dynamics of the Hénon map
- Limiting entry and return times distribution for arbitrary null sets
- Almost sure invariance principle for nonuniformly hyperbolic systems
- A theorem on ergodicity of two-dimensional hyperbolic billiards
- Hitting time statistics and extreme value theory
- Sharp error terms for return time statistics under mixing conditions
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Two moments suffice for Poisson approximations: The Chen-Stein method
- On the ergodic properties of nowhere dispersing billiards
- Markov partitions for dispersed billiards
- On ergodic properties of certain billiards
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- Dimension and product structure of hyperbolic measures
- Hitting and escaping statistics: mixing, targets and holes
- Decay of correlations and dispersing billiards.
- Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards
- Spatio-temporal Poisson processes for visits to small sets
- Speed of convergence for laws of rare events and escape rates
- The compound Poisson limit ruling periodic extreme behaviour of non-uniformly hyperbolic dynamics
- The compound Poisson distribution and return times in dynamical systems
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Statistical properties of diffeomorphisms with weak invariant manifolds
- Markov partitions and \(C\)-diffeomorphisms
- Convergence of rare event point processes to the Poisson process for planar billiards
- Poisson law for some non-uniformly hyperbolic dynamical systems with polynomial rate of mixing
- Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
- Speed of convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems
- Brownian Brownian motion. I
- RETURN TIME STATISTICS OF INVARIANT MEASURES FOR INTERVAL MAPS WITH POSITIVE LYAPUNOV EXPONENT
- Poisson approximation for search of rare words in DNA sequences
- Poisson limit law for Markov chains
- Limit theorems for partially hyperbolic systems
- Billiards with polynomial decay of correlations
- Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems
- Complete convergence and records for dynamically generated stochastic processes
- Billiards with polynomial mixing rates
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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