133 citations · 1.8k across the 54 of their papers we have counts for
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math.PR2012
Regular perturbation of V -geometrically ergodic Markov chains
Déborah Ferré, Loïc Hervé, James Ledoux
In this paper, new conditions for the stability of V-geometrically ergodic Markov chains are introduced. The results are based on an extension of the standard perturbation theory f…
math.ST2012★ 15 cited
A uniform Berry--Esseen theorem on -estimators for geometrically ergodic Markov chains
Loïc Hervé, James Ledoux, Valentin Patilea
Let be a -geometrically ergodic Markov chain. Given some real-valued functional , define , $α\in\mathcal{A}\subs…
math.PR2012★ 27 cited
Limit theorems for stationary Markov processes with L2-spectral gap
Deborah Ferre, Loïc Hervé, James Ledoux
Let be a discrete or continuous-time Markov process with state space where is an arbitrary measurable set. Its transition semigroup is assu…