Bounded type interval exchange maps

被引：2
|
作者：
Kim, Dong Han [1 ]
Marmi, Stefano [2 ,3 ]
机构：
[1] Dongguk Univ Seoul, Dept Math Educ, Seoul 100715, South Korea
[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy
[3] CNRS, UMI 3483, Lab Fibonacci, I-56126 Pisa, Italy
来源：
NONLINEARITY | 2014年 / 27卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
interval exchange map; bounded type; recurrence time; Rauzy-Veech induction; SPACE;
D O I：
10.1088/0951-7715/27/4/637
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Irrational numbers of bounded type have several equivalent characterizations. They have bounded partial quotients in terms of arithmetic characterization and in the dynamics of the circle rotation, the rescaled recurrence time to r-ball of the initial point is bounded below. In this paper, we consider how the bounded type condition of irrational is generalized into interval exchange maps.
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页码：637 / 645
页数：9
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