APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS-Reference-Cited by-同舟云学术

APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS

Published:2004-03 Issue:01 Volume:04 Page:31-62
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

AARONSON J.¹,DENKER M.²,SARIG O.³,ZWEIMÜLLER R.⁴

Affiliation:

1. School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel

2. Institut für Mathematische Stochastik, Georg-August-Universität Göttingen, Lotzestrasse 13, D-37083 Göttingen, Germany

3. Mathematics Department, 210 McAllister Building, Penn State University, University Park, PA 16802, USA

4. Imperial College London, 180 Queen's Gate, London SW7 2AL, UK

Abstract

We establish conditions for aperiodicity of cocycles (in the sense of [12]), obtaining, via a study of perturbations of transfer operators, conditional local limit theorems and exactness of skew-products. Our results apply to a large class of Markov and non-Markov interval maps, including beta transformations. This allows us to establish various stochastic properties of beta expansions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493704000936

Reference31 articles.

1. An Introduction to Infinite Ergodic Theory

2. Ergodic theory for Markov fibred systems and parabolic rational maps

3. LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS

4. Invariant measures and asymptotics for some skew products

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