C. Cuny

activity

20182025

most citedBerry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on GLd(R)

2 citations · 3 across the 4 of their papers we have counts for

collaborators

6 papers

math.PR2025

On the weak invariance principle for random fields with commuting filtrations under L1-projective criteria

Christophe Cuny, Jérôme Dedecker, Florence Merlevède

We consider a field $f \circ T_{1}^{i_{1}} \circ \dots \circ T_{d}^{i_{d}}$ where $T_{1}, \dots, T_{d}$ arecommuting transformations, one of them at least being ergodic. Considering the case…

math.DS2023★ 1 cited

Rates in almost sure invariance principle for nonuniformly hyperbolic maps

C Cuny, J Dedecker, A Korepanov +1

We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonuniformly hyperbolic maps. We do not assume exponential contraction along stable leave…

math.PR2023

Strong approximations for a class of dependent random variables with semi exponential tails

C Cuny, J Dedecker, F Merlevède

We give rates of convergence in the almost sure invariance principle for sums of dependent random variables with semi exponential tails, whose coupling coefficients decrease at a s…

math.PR2022

Berry-Esseen type bounds for the Left Random Walk on GL d (R) under polynomial moment conditions

C Cuny, J Dedecker, F Merlevède +1

Let $A_{n} = ε_{n} \dots ε_{1}$ , where $(ε_{n})_{n \geq 1}$ is a sequence of independent random matrices taking values in $G L_{d} (R)$ , $d \geq 2$ , with…

math.PR2021★ 2 cited

Berry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on GLd(R)

C Cuny, J Dedecker, F Merlevède +1

We give rates of convergence in the Central Limit Theorem for the coefficients and the spectral radius of the left random walk on GLd(R), assuming the existence of an exponential o…

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 $\geq$ 2. Spec…