22 citations · 116 across the 14 of their papers we have counts for
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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…
math.DS2018★ 5 cited
Rates in almost sure invariance principle for slowly mixing dynamical systems
C. Cuny, J. Dedecker, A. Korepanov +1
We prove the one-dimensional almost sure invariance principle with essentially optimal rates for slowly (polynomially) mixing deterministic dynamical systems, such as Pomeau-Mannev…