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Ergodic properties of random iterations of analytic functions
Published online by Cambridge University Press: 01 December 1999
Abstract
It is a known fact that an iterated function system (IFS) of entire functions is not necessarily ergodic. In this paper we show that if an IFS of analytic functions is defined in a domain whose boundary contains more than two points (in the extended complex plane) then the system possesses an ergodic property.
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- 1999 Cambridge University Press
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