activity
20062026
most citedRecent advances in invariance principles for stationary sequences

156 citations · 398 across the 47 of their papers we have counts for

collaborators

60 papers

math.PR2026

Spectral Universality for Matrices with Non-Linear Correlated Entries

Marwa Banna, Issa-Mbenard Dabo, Florence Merlevède

We establish nonasymptotic spectral comparison results for matrices whose entries are non-linear functions of an iid random field. Under an exponential decay assumption on an $\mat…

math.PR2026

Normal approximation for partial sums: general convex costs

Jérôme Dedecker, Florence Merlevède, Emmanuel Rio

We provide non-asymptotic bounds and asymptotic limits for convex transport costs between the distribution of partial sums of independent and identically distributed square integra…

math.PR2025

Some remarks on Gordin-Lifšic's condition for martingale approximations

Jèrôme Dedecker, Florence Merlevède

In this note, we study a condition introduced by Gordin and Lif{\v s}ic in 1981 to establish the Central Limit Theorem for additive functionals of stationary Markov chains with nor…

math.PR2025

On Berry Esseen type estimates for randomized Martingales in the non stationary setting

J Dedecker, F Merlevède, M Peligrad +1

In this paper, we consider partial sums of triangular martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale…

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 where arecommuting transformations, one of them at least being ergodic. Considering the case…

math.PR2024

Rates in the central limit theorem for random projections of Martingales

J Dedecker, F Merlevède, M Peligrad

In this paper, we consider partial sums of martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale differences…