37 citations · 140 across the 23 of their papers we have counts for
17 papers · 1 filter
Global Central Limit Theorems for Markov chains with normal transition operator
Christophe Cuny, Michael Lin
Let be a Markov operator on a general state space with invariant probability , assumed ergodic. When is normal in , we prove the necessity of uniform erg…
Limit theorems for iid products of positive matrices
C Cuny, J Dedecker, F Merlevède
We study stochastic properties of the norm cocycle associated with iid products of positive matrices. We obtain the almost sure invariance principle (ASIP) with rate o(n 1/p) under…
Deviation and concentration inequalities for dynamical systems with subexponential decay of correlation
C Cuny, J Dedecker, F Merlevède
We obtain large and moderate deviation estimates, as well as concentration inequalities, for a class of nonuniformly expanding maps with stretched exponential decay of correlations…
Rates of convergence in invariance principles for random walks on linear groups via martingale methods
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
In this paper, we give explicit rates in the central limit theorem and in the almost sure invariance principle for general R d-valued cocycles that appear in the study of the left…
An alternative to the coupling of Berkes-Liu-Wu for strong approximations
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
In this paper we propose an alternative to the coupling of Berkes, Liu and Wu [1] to obtain strong approximations for partial sums of dependent sequences. The main tool is a new Ro…
On the Komlós, Major and Tusnády strong approximation for some classes of random iterates
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
The famous results of Komlós, Major and Tusnády (see [15] and [17]) state that it is possible to approximate almost surely the partial sums of size n of i.i.d. centered random vari…