Publications
Detailed Information
Explicit Examples of Coding Geodesics on Surfaces of Constant Negative Curvature : 음곡률을 가지는 곡면의 측지선 코딩
Cited 0 time in
Web of Science
Cited 0 time in Scopus
- Authors
- Advisor
- 임선희
- Major
- 자연과학대학 수리과학부
- Issue Date
- 2014-02
- Publisher
- 서울대학교 대학원
- Keywords
- geodesic coding ; symbolic dynamics
- Description
- 학위논문 (석사)-- 서울대학교 대학원 : 수리과학부, 2014. 2. 임선희.
- Abstract
- It is well-known that there are various ways of representing geodesics on a surface M of constant negative curvature. There are two different methods on the bottom line: one is geometric coding and the other is arithmetic coding. The former is the so-called Morse method which is coding a geodesic by the cutting sequence as it passes a fixed set of curves on M. The latter, Artin method, is the construction using concatenating two sequences, obtained by using a suitable boundary expansion, of two endpoints of a lift of the geodesic (a geodesic in the unit disc). In this thesis, we investigate the more mysterious Artin method for specific examples of surfaces and show that we obtain a sofic system by using Artin method.
- Language
- English
- Files in This Item:
- Appears in Collections:
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.