Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems
Dynamical Systems
2021-07-07 v3
Abstract
We prove the asymptotic functional Poisson laws in the total variation norm and obtain estimates of the corresponding convergence rates for a large class of hyperbolic dynamical systems. These results generalize the ones obtained before in this area. Applications to intermittent solenoids, Axiom A systems, H\'enon attractors and to billiards, are also considered.
Cite
@article{arxiv.2103.05418,
title = {Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems},
author = {Leonid Bunimovich and Yaofeng Su},
journal= {arXiv preprint arXiv:2103.05418},
year = {2021}
}
Comments
We are indebted to Ian Melbourne for his useful comments. Few types in Chapter 3 are corrected, the main results unchanged