Dirichlet finite harmonic measures on topological balls
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- NAKAI Mitsuru
- Department of Mathematics Nagoya Institute of Technology
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Abstract
Based upon an intuition from electrostatics one might suspect that there is no topological ball in Euclidean space of dimension d≥q 2 which carries a nonconstant Dirichlet finite harmonic measure. This guess is certainly true for d=2. However, contrary to the above intuition, it is shown in this paper that there does exist a topological ball in Euclidean space of every dimension d≥q 3 on which there exists a nonconstant Dirichlet finite harmonic measure.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 52 (3), 501-513, 2000
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680093082880
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- NII Article ID
- 10004480391
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 1760601
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- NDL BIB ID
- 5475552
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed