3 citations · 7 across the 11 of their papers we have counts for
11 papers
Statistical properties for irregular observables in slowly mixing hyperbolic systems
Leonid A. Bunimovich, Yaofeng Su
We prove various statistical properties (i.e., decay of correlations, central limit theorems with convergence rates, maximal large deviations and almost sure invariance principles)…
Statistics of Weakly Chaotic Systems
Leonid A. Bunimovich, Yaofeng Su
One of the major breakthroughs in science of the last (20th) century was building a bridge between the worlds of stochastic (random) systems and deterministic (dynamical) systems.…
Which subsets and when orbits prefer to visit in multidimensional non-Markovian non-uniformly expanding systems
Leonid A. Bunimovich, Yaofeng Su
The paper addresses some basic questions about finite time dynamics for slowly mixing non-uniformly expanding dynamical systems. It is concerned with transport in phase spaces of s…
Polynomial escape rates via maximal large deviations
Yaofeng Su
In this short note, we propose a new and short approach to polynomial escape rates, which can be applied to various open systems with intermittency. The tool of our approach is the…
Estimates of constants in the limit theorems for chaotic dynamical systems
Leonid A. Bunimovich, Yaofeng Su
In a vast area of probabilistic limit theorems for dynamical systems with chaotic behaviors always only functional form (exponential, power, etc) of the asymptotic laws and of conv…
Maximal Large Deviations and Slow Recurrences in Weakly Chaotic Systems
Leonid A. Bunimovich, Yaofeng Su
We prove a maximal-type large deviation principle for dynamical systems with arbitrarily slow polynomial mixing rates. Also several applications, particularly to billiard systems,…
Back to Boundaries in Billiards
Leonid Bunimovich, Yaofeng Su
We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such hol…
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…
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…
Vector-valued Almost Sure Invariance Principle For Non-stationary Dynamical Systems
Yaofeng Su
We prove vector-valued almost sure invariance principle (VASIP) for nonstationary dynamical systems, under assumptions of correlation decay and variance growth. Applications includ…
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…