A note on random holomorphic iteration in convex domains

被引：1
|
作者：
Bracci, Filippo [1 ]
机构：
[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2008年 / 51卷
关键词：
iterated function systems; degenerate subset; complex geodesic; iteration; convex domain;
D O I：
10.1017/S0013091506001131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a geometric condition of Bloch type which guarantees that a subset of abounded convex domain in several complex variables is degenerate with respect to every iterated function system. Furthermore, we discuss the relations of such a Bloch-type condition with the analogous hyperbolic Lipschitz condition.
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页码：297 / 304
页数：8
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