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math.DS2023
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…
math.DS2022
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,…
math.DS2010★ 1 cited
Isospectral Graph Transformations, Spectral Equivalence, and Global Stability of Dynamical Networks
L. A. Bunimovich, B. Z. Webb
In this paper we present a general procedure that allows for the reduction or expansion of any network (considered as a weighted graph). This procedure maintains the spectrum of th…