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VOL. 5 | 2009 Weak invariance principle and exponential bounds for some special functions of intermittent maps
Jérôme Dedecker, Florence Merlevède

Editor(s) Christian Houdré, Vladimir Koltchinskii, David M. Mason, Magda Peligrad


We consider a parametric class Tγ of expanding maps of [0, 1] with a neutral fixed point at 0 for which there exists an unique invariant absolutely continuous probability measure νγ on [0, 1]. On the probability space ([0, 1], νγ), we prove the weak invariance principle for the partial sums of fTγi in some special cases involving non-standard normalization. We also prove new moment inequalities and exponential bounds for the partial sums of fTγi when f is some Hölder function such that f(0)=νγ(f).


Published: 1 January 2009
First available in Project Euclid: 2 February 2010

zbMATH: 1243.37008

Digital Object Identifier: 10.1214/09-IMSCOLL505

Primary: 37C30 , 37E05 , 60F17

Keywords: Exponential inequalities , Intermittency , Weak invariance principle

Rights: Copyright © 2009, Institute of Mathematical Statistics


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