Some unbounded functions of intermittent maps for which the central limit theorem holds

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dc.creatorDedecker, J.
dc.creatorPrieur, C.
dc.date2007-12-17
dc.date2008-02-11
dc.date.accessioned2026-07-07T09:19:31Z
dc.date.available2026-07-07T09:19:31Z
dc.descriptionWe compute some dependence coefficients for the stationary Markov chain whose transition kernel is the Perron-Frobenius operator of an expanding map $T$ of $[0, 1]$ with a neutral fixed point. We use these coefficients to prove a central limit theorem for the partial sums of $f\circ T^i$, when $f$ belongs to a large class of unbounded functions from $[0, 1]$ to ${\mathbb R}$. We also prove other limit theorems and moment inequalities.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0712.2726
dc.identifierhttp://arxiv.org/abs/0712.2726
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154419
dc.subjectProbability
dc.subjectDynamical Systems
dc.subject37E05, 37C30, 60F05
dc.titleSome unbounded functions of intermittent maps for which the central limit theorem holds
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