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math.DS2026
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)…
math.DS2025
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.…
math.DS2024★ 1 cited
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…