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Decay of correlations for non-Holder observables
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Lynch, V. (2006) Decay of correlations for non-Holder observables. Discrete and Continuous Dynamical Systems, Vol.16 (No.1). pp. 19-46. ISSN 1078-0947.
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Abstract
We consider the general question of estimating decay of correlations for non-uniformly expanding maps, for classes of observables which are much larger than the usual class of Holder continuous functions. Our results give new estimates for many non-uniformly expanding systems, including Manneville-Pomeau maps, many one-dimensional systems with critical points, and Viana maps. In many situations, we also obtain a Central Limit Theorem for a much larger class of observables than usual.
Our main tool is an extension of the coupling method introduced by L.-S. Young for estimating rates of mixing on certain non-uniformly expanding tower maps.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1078-0947 | ||||
Official Date: | September 2006 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Number: | No.1 | ||||
Number of Pages: | 28 | ||||
Page Range: | pp. 19-46 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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