Walkden, Charles
(2007)
*Invariance principles for iterated maps that contract on average.*
Transactions of the American Mathematical Society, 359 (3).
pp. 1081-1097.
ISSN 0002-9947

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Official URL: http://www.ams.org/tran/2007-359-03/S0002-9947-06-...

## Abstract

We consider iterated function schemes that contract on average. Using a transfer operator approach, we prove a version of the almost sure invariance principle. This allows the system to be modelled by a Brownian motion, up to some error term. It follows that many classical statistical properties hold for such systems, such as the weak invariance principle and the law of the iterated logarithm.

Item Type: | Article |
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Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 37 Dynamical systems and ergodic theory MSC 2010, the AMS's Mathematics Subject Classification > 60 Probability theory and stochastic processes |

Depositing User: | Ms Lucy van Russelt |

Date Deposited: | 03 Apr 2007 |

Last Modified: | 20 Oct 2017 14:12 |

URI: | http://eprints.maths.manchester.ac.uk/id/eprint/763 |

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