Summary
We use martingale methods and coupling arguments to prove results of Li and Tam (1987) and Donnelly (1986) characterizing positive and bounded harmonic functions, respectively, on certain manifolds with ends.
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Research supported by a grant from NSA/NSF
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Cranston, M. A probabilistic approach to Martin boundaries for manifolds with ends. Probab. Th. Rel. Fields 96, 319–334 (1993). https://doi.org/10.1007/BF01292675
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DOI: https://doi.org/10.1007/BF01292675
Mathematics Subject Classification
- 58G32
- 60J50
- 60J65