3 papers
math.DS2019
Superdiffusive limits for deterministic fast-slow dynamical systems
Ilya Chevyrev, Peter K. Friz, Alexey Korepanov +1
We consider deterministic fast-slow dynamical systems on of the form \[ \begin{cases} x_{k+1}^{(n)} = x_k^{(n)} + n^{-1} a(x_k^{(n)}) + n^{-1/α} b(x_k^{(n)})…
math.PR2018
Rates in almost sure invariance principle for quickly mixing dynamical systems
C Cuny, J Dedecker, A Korepanov +1
For a large class of quickly mixing dynamical systems, we prove that the error in the almost sure approximation with a Brownian motion is of order O((log n)^a) with a 2. Spec…
math.DS2018
On the timescale at which statistical stability breaks down
Neil Dobbs, Alexey Korepanov
In dynamical systems, understanding statistical properties shared by most orbits and how these properties depend on the system are basic and important questions. Statistical proper…