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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.DS2025
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…
math.DS2025
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…