4 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)…
For how long time evolution of chaotic or random systems can be predicted
Leonid Bunimovich, Kirill Kovalenko
Traditionally, Probability theory was dealing with limit theorems where 'limit" means that time tends to infinity. Questions about finite time dynamics (evolution) were always cons…
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 of non-uniformly hyperbolic systems prefer to visit: operator renewal theory approach
Leonid A. Bunimovich, Yaofeng Su
The paper addresses for the first time some basic questions in the theory of finite time dynamics and finite time predictions for slowly mixing non-uniformly hyperbolic dynamical s…