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Ergodic properties of random iterations of analytic functions

Published online by Cambridge University Press:  01 December 1999

AMIRAN AMBROLADZE
AMIRAN AMBROLADZE
Affiliation:
Department of Mathematics, Lund University/LTH, Box 118, S-221 00 Lund, Sweden (e-mail: amiran.ambroladze@math.lth.se)Department of Mathematics, Tbilisi State University, Tbilisi, Georgia
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Abstract

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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.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 6 , December 1999, pp. 1379 - 1388
Copyright
1999 Cambridge University Press