RANDOM ITERAtION OF HOLOMORPHIC SELF-MAPS OVER BOUNDED DOMAINS IN C~N
Zhangwenjun, Renfuyao · Acta Scientiarum Naturalium Universitatis Sunyatseni · 1995
This paper studies the asymptotic properties of the random iterations of both the form Gn = f1 o f2 o…… o fn and the form Fn = fn o fn-1 o … o f1, where {fn} （包含于） H(Ω，Ω) and Ω （包含于） C^N is a hounded domain. It is found that, under some conditions. Gn or Fn tends to a point in Ω as n→∞. Some examples are also given to show that the conditions that we have given can not be dropped in general, Moreover, a complete description is given for Fn or Gn to tend to a point in Ω under the condition fn → f.