Ergodic properties of random iterations of analytic functions

Authors
Ambroladze, A
Citation
A. Ambroladze, Ergodic properties of random iterations of analytic functions, ERGOD TH DY, 19, 1999, pp. 1379-1388
Citations number
17
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
19
Year of publication
1999
Part
6
Pages
1379 - 1388
Database
ISI
SICI code
0143-3857(199912)19:<1379:EPORIO>2.0.ZU;2-C
Abstract
It is a known fact that an iterated function system (IFS) of entire functio ns is not necessarily ergodic. In this paper we show that if an IFS of anal ytic functions is defined in a domain whose boundary contains more than two points (in the extended complex plane) then the system possesses an ergodi c property.