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- Hamana Yuji
- Department of Mathematics, Kumamoto University
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We consider the expected volume of the Wiener sausage on the time interval [0,t] associated with a closed ball. Let L(t) be the expected volume minus the volume of the ball. We obtain that L(t) is asymptotically equal to a constant multiple of t1/2 as t tends to 0 and that it is represented as an absolutely convergent power series of t1/2 for any t > 0 in the odd dimensional cases. Moreover, the explicit form of L(t) can be given in five and seven dimensional cases.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 62 (4), 1113-1136, 2010
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390282680092816384
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- NII論文ID
- 10027871042
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- HANDLE
- 2298/33221
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- NDL書誌ID
- 10859024
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- 本文言語コード
- en
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