Central limit theorems for sequential and random intermittent dynamical systems

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 fo...

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Published inErgodic theory and dynamical systems Vol. 38; no. 3; pp. 1127 - 1153
Main Authors NICOL, MATTHEW, TÖRÖK, ANDREW, VAIENTI, SANDRO
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.05.2018
Cambridge University Press (CUP)
Subjects
Dynamical Systems
Mathematics
Original Article
Theorems
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2016.69