activity
20062023
most citedPeeping at chaos: Nondestructive monitoring of chaotic systems by measuring long-time escape rates

45 citations · 46 across the 5 of their papers we have counts for

collaborators

5 papers

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,…

q-bio.PE2022

Antigenic cooperation in Viral Populations: Transformation of Functions of Intra-Host Viral Variants

Leonid Bunimovich, Athulya Ram, Pavel Skums

In this paper we study intra-host viral adaptation by antigenic cooperation - a mechanism of immune escape that serves as an alternative to the standard mechanism of escape by cont…

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…

nlin.CD2006★ 45 cited

Peeping at chaos: Nondestructive monitoring of chaotic systems by measuring long-time escape rates

L. A. Bunimovich, C. P. Dettmann

One or more small holes provide non-destructive windows to observe corresponding closed systems, for example by measuring long time escape rates of particles as a function of hole…