C. Cuny

collaborators

2 papers

math.PR2025

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

Christophe Cuny, JÃ©rÃ´me Dedecker, Florence MerlevÃ¨de

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.DS2024

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…