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.

引用

页码：297 / 304

页数：8

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