3 papers
math.DS2021
Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems
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 sy…
math.DS2019
Random Young Towers and Quenched Limit Laws
Yaofeng Su
We obtain quenched almost sure invariance principle (with convergence rate) for Random Young Tower. We apply our result to i.i.d perturbations of non-uniformly expanding maps. In p…
math.DS2019
Almost Surely Invariance Principle for Non-stationary and Random Intermittent Dynamical Systems
Yaofeng Su
We establish almost sure invariance principles (ASIP), a strong form of approximation by Brownian motion, for non-stationary time series arising as observations on sequential maps…