46 citations · 158 across the 52 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.PR2018
Behavior of the empirical Wasserstein distance in R^d under moment conditions
Jérôme Dedecker, Florence Merlevède
We establish some deviation inequalities, moment bounds and almost sure results for the Wasserstein distance of order p [1, ) between the empirical measure of indepen…
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…