C. Cuny

collaborators

2 papers

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.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…