Julia sets of expanding polynomials

被引：5
|
作者：
Blokh, A
Cleveland, C
Misiurewicz, M
机构：
[1] Univ Alabama, Dept Math, Birmingham, AL 35294 USA
[2] IUPUI, Dept Math Sci, Indianapolis, IN 46202 USA
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2005年 / 25卷
关键词：
D O I：
10.1017/S0143385705000210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We continue studying branched covering maps of the plane with expanding properties, which we call expanding polymodials. They are analogous to piecewise expanding interval maps and have properties similar to those of complex polynomials (in particular, the Julia set and a lot of other notions from complex dynamics can be defined for expanding polymodials). In this paper we include the case when the Julia set is disconnected, study its topological properties and its Hausdorff dimension.
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页码：1691 / 1718
页数：28
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