Pointwise ergodic theorems with rate and application to limit theorems for stationary processes

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dc.creatorCuny, Christophe
dc.date2009-04-01
dc.date.accessioned2026-07-07T12:59:06Z
dc.date.available2026-07-07T12:59:06Z
dc.descriptionWe obtain pointwise ergodic theorems with rate under conditions expressed in terms of the convergence of series involving $\|\sum_{k=1} ^nf\circ θ^k\|_2$, improving previous results. Then, using known results on martingale approximation, we obtain some LIL for stationary ergodic processes and quenched central limit theorems for functional of Markov chains. The proofs are based on the use of the spectral theorem and, on a recent work of Zhao-Woodroofe extending a method of Derriennic-Lin.
dc.identifierhttps://arxiv.org/abs/0904.0185
dc.identifierhttp://arxiv.org/abs/0904.0185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225468
dc.subjectProbability
dc.subject60F15, 60F05
dc.titlePointwise ergodic theorems with rate and application to limit theorems for stationary processes
dc.typetext

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