Metric invariants in dynamical systems

被引:1
|
作者
Jiang Y. [1 ,2 ,3 ]
机构
[1] Department of Mathematics, Queens College, City University of New York, Flushing
[2] Department of Mathematics, Graduate School, City University of New York, New York, NY 10016
[3] Academy of Mathematics and Systems Science, Chinese Academy of Sciences
基金
美国国家科学基金会;
关键词
Expanding circle endomorphism; Linear model; Scaling function;
D O I
10.1007/s10884-005-5403-4
中图分类号
学科分类号
摘要
The scaling function and the linear model for a circle endomorphism are two important smooth invariants under conjugacy. We discuss these two invariants and some relations between them. Furthermore, we use these relations to discuss some realization results in this direction. The discussion in this paper avoids quasiconformal mapping theory and Gibbs theory and g-measure theory, which are used in our previous discussions, therefore, is straightforward and simple. © Springer Science+Business Media, Inc. 2005.
引用
收藏
页码:51 / 71
页数:20
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