No wandering domain theorem for a topological polynomial of degree two 位相2次多項式における遊走領域の非存在定理
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Bibliographic Information
- Title
-
No wandering domain theorem for a topological polynomial of degree two
- Other Title
-
位相2次多項式における遊走領域の非存在定理
- Author
-
吉田, 雅通
- Author(Another name)
-
ヨシダ, マサミチ
- University
-
慶応義塾大学
- Types of degree
-
博士 (理学)
- Grant ID
-
乙第3348号
- Degree year
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2000-03-04
Note and Description
博士論文
Table of Contents
- 論文目録 / (0001.jp2)
- Contents / p3 (0006.jp2)
- 1 Introduction / p1 (0007.jp2)
- 1.1 Background / p1 (0007.jp2)
- 1.2 Summary of Main Results / p3 (0009.jp2)
- 2 Pinched circle model theorem / p7 (0013.jp2)
- 2.1 Angle doubling factor / p7 (0013.jp2)
- 2.2 Relative metric and Light mapping / p9 (0015.jp2)
- 2.3 Inverse function theorem / p11 (0017.jp2)
- 2.4 Canonical extension of the dynamics on Julia set / p13 (0019.jp2)
- 2.5 Pinched circle model theorem / p15 (0021.jp2)
- 2.6 Associated invariant lamination / p20 (0026.jp2)
- 3 Gap invariance theorem / p25 (0031.jp2)
- 3.1 Boundary chords of a gap and 1-sided families / p25 (0031.jp2)
- 3.2 Gap invariance theorem / p31 (0037.jp2)
- 3.3 A corollary / p35 (0041.jp2)
- 4 No wandering domain theorem / p37 (0043.jp2)
- 4.1 Monotone mapping and Moore's theorem / p37 (0043.jp2)
- 4.2 Torhorst's theorem / p39 (0045.jp2)
- 4.3 No wandering domain theorem / p39 (0045.jp2)