Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems

9 Mar 2021 · Leonid Bunimovich, Yaofeng Su ·

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.