The relation among entropy, subshift and strong orbit equivalence for Cantor systems カントル力学系におけるエントロピー,サブシフト,強軌道同型との関係
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Bibliographic Information
- Title
-
The relation among entropy, subshift and strong orbit equivalence for Cantor systems
- Other Title
-
カントル力学系におけるエントロピー,サブシフト,強軌道同型との関係
- Author
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杉崎, 文亮
- Author(Another name)
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スギサキ, フミアキ
- University
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慶応義塾大学
- Types of degree
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博士(理学)
- Grant ID
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甲第1720号
- Degree year
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1999-03-23
Note and Description
博士論文
Table of Contents
- 論文目録 / (0001.jp2)
- Contents / p2 (0006.jp2)
- 0 Introduction / p1 (0007.jp2)
- 1 Dynamics and ordered Bratteli diagrams / p5 (0011.jp2)
- 2 The modification of dimension group preserving order isomorphism / p12 (0018.jp2)
- 3 Finite entropy case and subshift / p18 (0024.jp2)
- 3.1 On the order of Bratteli diagram / p18 (0024.jp2)
- 3.2 Conjugacy between a Cantor system and a subshift / p21 (0027.jp2)
- 3.3 Calculation of topological entropy / p29 (0035.jp2)
- 3.4 Preliminaries / p32 (0038.jp2)
- 3.5 Proof for finite entropy case / p36 (0042.jp2)
- 4 Infinite entropy case / p48 (0054.jp2)
- 4.1 On the order of Bratteli diagram / p48 (0054.jp2)
- 4.2 Calculation of topological entropy / p53 (0059.jp2)
- 4.3 Preliminaries / p62 (0068.jp2)
- 4.4 Proof for the infinite entropy case / p63 (0069.jp2)