Random iterations of homeomorphisms on the circle
Volume 4, Issue 3 (2017), pp. 253–271
Pub. online: 5 October 2017
Type: Research Article
Open Access
Open Access
1
KG has been supported, in part, by CNPq research grant 302880/2015-1 (Brazil). KG and ÖS thank ICERM (USA) for their hospitality and financial support.
Received
22 March 2017
22 March 2017
Revised
25 September 2017
25 September 2017
Accepted
25 September 2017
25 September 2017
Published
5 October 2017
5 October 2017
Notes
Dedicated to Professor Dmitrii S. Silvestrov on the occasion of his 70th Birthday
Abstract
We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal. We show how such systems can be analyzed in terms of iterated function systems with probabilities which are non-expansive on average.
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