Affiliation:
1. Department of Mathematics and Statistics, P.O. Box 68, Fin-00014 University of Helsinki, Finland
Abstract
We study random circle maps that are expanding on the average. Uniform bounds on neither expansion nor distortion are required. We construct a coupling scheme, which leads to exponential convergence of measures (memory loss) and exponential mixing. Leveraging from the structure of the associated correlation estimates, we prove an almost sure invariance principle for vector-valued observables. The motivation for our paper is to explore these methods in a non-uniform random setting.
Publisher
World Scientific Pub Co Pte Lt
Cited by
11 articles.
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