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A probabilistic approach to Martin boundaries for manifolds with ends
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  • Published: September 1993

A probabilistic approach to Martin boundaries for manifolds with ends

  • M. Cranston1 

Probability Theory and Related Fields volume 96, pages 319–334 (1993)Cite this article

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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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Authors and Affiliations

  1. Mathematics Department, University of Rochester, 14627, Rochester, NY, USA

    M. Cranston

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  1. M. Cranston
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Research supported by a grant from NSA/NSF

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Cite this article

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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  • Received: 08 March 1992

  • Revised: 09 February 1993

  • Issue Date: September 1993

  • DOI: https://doi.org/10.1007/BF01292675

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Mathematics Subject Classification

  • 58G32
  • 60J50
  • 60J65
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