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Central limit theorems for sequential and random intermittent dynamical systems

Published online by Cambridge University Press:  22 September 2016

MATTHEW NICOL ,
ANDREW TÖRÖK  and
SANDRO VAIENTI
MATTHEW NICOL
Affiliation:
Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA email nicol@math.uh.edu
ANDREW TÖRÖK
Affiliation:
Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA email nicol@math.uh.edu Institute of Mathematics of the Romanian Academy, PO Box 1-764, RO-70700 Bucharest, Romania email torok@math.uh.edu
SANDRO VAIENTI
Affiliation:
Aix Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France email vaienti@cpt.univ-mrs.fr
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Abstract

We establish self-norming central limit theorems for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformations are obtained by perturbing the slope in the Pomeau–Manneville map. We also obtain quenched central limit theorems for random compositions of these maps.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 38 , Issue 3 , May 2018 , pp. 1127 - 1153
Copyright
© Cambridge University Press, 2016 

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