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Hyperfinite methods applied to the Critical Branching Diffusion
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  • Published: 01 February 1989

Hyperfinite methods applied to the Critical Branching Diffusion

  • Mark Reimers1 

Probability Theory and Related Fields volume 81, pages 11–27 (1989)Cite this article

Summary

We apply the hyperfinite methods of [Re] to the construction of a version of the Critical Branching Diffusion studied by Dawson et al. Several new sample path properties are derived from this construction.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, V6T 1Y4, British Columbia, Canada

    Mark Reimers

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  1. Mark Reimers
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Cite this article

Reimers, M. Hyperfinite methods applied to the Critical Branching Diffusion. Probab. Th. Rel. Fields 81, 11–27 (1989). https://doi.org/10.1007/BF00343736

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  • Received: 06 June 1987

  • Revised: 11 July 1988

  • Published: 01 February 1989

  • Issue Date: February 1989

  • DOI: https://doi.org/10.1007/BF00343736

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Keywords

  • Standard Part
  • Martingale Problem
  • Internal Function
  • Sample Path Property
  • Loeb Measure
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