37 citations · 140 across the 23 of their papers we have counts for
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math.PR2009★ 8 cited
Central limit theorem started at a point for additive functionals of reversible Markov chains
Christophe Cuny, Magda Peligrad
In this paper we study the almost sure central limit theorem started from a point for additive functionals of a stationary and ergodic Markov chain via a martingale approximation i…
math.PR2009★ 17 cited
Pointwise ergodic theorems with rate and application to limit theorems for stationary processes
Christophe Cuny
We obtain pointwise ergodic theorems with rate under conditions expressed in terms of the convergence of series involving , improving previous result…