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Bounded type interval exchange maps
- Authors
- Kim, Dong Han; Marmi, Stefano
- Issue Date
- Apr-2014
- Publisher
- IOP PUBLISHING LTD
- Keywords
- interval exchange map; bounded type; recurrence time; Rauzy-Veech induction
- Citation
- NONLINEARITY, v.27, no.4, pp 637 - 645
- Pages
- 9
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- NONLINEARITY
- Volume
- 27
- Number
- 4
- Start Page
- 637
- End Page
- 645
- ISSN
- 0951-7715
1361-6544
- Abstract
- 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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Related Researcher
- Kim, Dong Han
- College of Education (Department of Mathematics Education)