Maximal large deviations and slow recurrences in weakly chaotic systems
From MaRDI portal
Publication:6049886
DOI10.1016/j.aim.2023.109267arXiv2208.03603OpenAlexW4386041621MaRDI QIDQ6049886
Leonid A. Bunimovich, Yaofeng Su
Publication date: 11 October 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.03603
Large deviations (60F10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems with singularities (billiards, etc.) (37C83)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rare events for the Manneville-Pomeau map
- From rates of mixing to recurrence times via large deviations
- Limiting entry and return times distribution for arbitrary null sets
- Almost sure invariance principle for nonuniformly hyperbolic systems
- Limit theorems in the stadium billiard
- Improved estimates for correlations in billiards
- Back to balls in billiards
- Two moments suffice for Poisson approximations: The Chen-Stein method
- On the ergodic properties of nowhere dispersing billiards
- On ergodic properties of certain billiards
- Statistical properties of dynamical systems with some hyperbolicity
- Recurrence times and rates of mixing
- Hitting and escaping statistics: mixing, targets and holes
- Decay of correlations and dispersing billiards.
- Geometry of expanding absolutely continuous invariant measures and the liftability problem
- Poisson approximations and convergence rates for hyperbolic dynamical systems
- Spatio-temporal Poisson processes for visits to small sets
- SRB measures for partially hyperbolic systems whose central direction is weakly expanding
- Convergence of rare event point processes to the Poisson process for planar billiards
- Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
- Poisson law for some non-uniformly hyperbolic dynamical systems with polynomial rate of mixing
- Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
- Large deviations for nonuniformly hyperbolic systems
- Large and moderate deviations for slowly mixing dynamical systems
- Billiards with polynomial decay of correlations
- A note on large deviations for unbounded observables
- From the Law of Large Numbers to Large Deviation Theory in Statistical Physics: An Introduction
- Billiards with polynomial mixing rates
- Some Large Deviation Results for Dynamical Systems
