A probabilistic approach to Martin boundaries for manifolds with ends (Q1326347)
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scientific article; zbMATH DE number 569080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A probabilistic approach to Martin boundaries for manifolds with ends |
scientific article; zbMATH DE number 569080 |
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A probabilistic approach to Martin boundaries for manifolds with ends (English)
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14 July 1994
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We use martingale methods and coupling arguments to prove results of \textit{P. Li} and \textit{L.-F. Tam} [Ann. Math., II. Ser. 125, 171-207 (1987; Zbl 0622.58001)] and \textit{H. Donnelly} [Math. Z. 191, No. 4, 559-565 (1986; Zbl 0604.30051)] characterizing positive and bounded harmonic functions, respectively, on certain manifolds with ends.
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Martin boundaries
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Brownian motion
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harmonic functions
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manifolds with ends
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