A construction of diffusion processes associated with sub-Laplacian on CR manifolds and its applications
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- Kondo Hiroki
- Graduate School of Mathematics, Kyushu University
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- Taniguchi Setsuo
- Faculty of Arts and Science, Kyushu University
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説明
<p>A diffusion process associated with the real sub-Laplacian Δb, the real part of the complex Kohn–Spencer Laplacian □b, on a strictly pseudoconvex CR manifold is constructed via the Eells–Elworthy–Malliavin method by taking advantage of the metric connection due to Tanaka and Webster. Using the diffusion process and the Malliavin calculus, the heat kernel and the Dirichlet problem for Δb are studied in a probabilistic manner. Moreover, distributions of stochastic line integrals along the diffusion process will be investigated.</p>
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 69 (1), 111-125, 2017
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
- 1390282680092314112
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- NII論文ID
- 130005310385
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 027859018
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- KAKEN
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- 使用不可