Some ergodic theorems and its applications to limit theorems for additive functionals of complex Brownian motion いくつかのエルゴード定理とその複素ブラウン運動の加法的汎関数の極限定理への応用
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著者
書誌事項
- タイトル
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Some ergodic theorems and its applications to limit theorems for additive functionals of complex Brownian motion
- タイトル別名
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いくつかのエルゴード定理とその複素ブラウン運動の加法的汎関数の極限定理への応用
- 著者名
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山崎, 洋一
- 著者別名
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ヤマザキ, ヨウイチ
- 学位授与大学
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神戸大学
- 取得学位
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博士 (理学)
- 学位授与番号
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乙第1711号
- 学位授与年月日
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1993-03-17
注記・抄録
博士論文
目次
- Contents / p1 (0003.jp2)
- 1 Introduction / p2 (0004.jp2)
- 2 On Limit Theorems Related to a Class of“Winding-Type”Additive Functionals of Complex Brownian Motion / p7 (0009.jp2)
- 2.1 Introduction / p7 (0009.jp2)
- 2.2 An ergodic theorem for some class of diffusion processes on compact manifolds / p9 (0011.jp2)
- 2.3 Some limit theorem for additive functional of a Brownian motion on the cylinder / p16 (0018.jp2)
- 2.4 Application to a limit theorem for“winding-type”additive functionals / p32 (0034.jp2)
- 3 An Ergodic Theorem Related to Some Limit Theorems for Additive Functionals of Complex Brownian Motion / p46 (0048.jp2)
- 3.1 Introduction / p46 (0048.jp2)
- 3.2 An ergodic theorem for some class of diffusion processes on compact manifolds and its applications / p47 (0049.jp2)
- 3.3 The proof of Theorem 3.2.1 / p58 (0060.jp2)
- 4 On Some Ergodic Theorems for a Brownian Motion on a Compact Manifold and an Ornstein-Uhlenbeck Process / p65 (0067.jp2)
- 4.1 Introduction / p65 (0067.jp2)
- 4.2 The proof of Theorem 4.1.3 / p67 (0069.jp2)
- 4.3 Extention to the Ornstein-Uhlenbeck process / p75 (0077.jp2)