Ergodic properties of random iterations of analytic functions

被引:4
|
作者
Ambroladze, A
机构
[1] Lund Univ, LTH, Dept Math, S-22100 Lund, Sweden
[2] Tbilisi State Univ, Dept Math, GE-380086 Tbilisi, Georgia
关键词
D O I
10.1017/S014338579914166X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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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页码:1379 / 1388
页数:10
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