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Pathwise construction of additive H-transforms of super-Brownian motion
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  • Published: December 1994

Pathwise construction of additive H-transforms of super-Brownian motion

  • L. Overbeck1 nAff2 

Probability Theory and Related Fields volume 100, pages 429–437 (1994)Cite this article

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  • 6 Citations

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Summary

The pathwise construction of additiveH-transforms of the super-Brownian motion is carried out as a modification of Le Gall's construction of superprocesses. It provides then the explicit conditioning of the super-Brownian motion on its exit behaviour at its Martin boundary, which yields an additiveH-transforms of the super-Brownian motion. The condition turns out to be that the space-time point of death of the super-Brownian motion converges in the Martin topology of the Brownian motion.

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References

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Author information

Author notes
  1. L. Overbeck

    Present address: Institut für Angewandte Mathematik, Universität Bonn, Wegelerstrasse 6, D-53115, Bonn, Germany

Authors and Affiliations

  1. Laboratoire de Probabilités, Université Paris VI, 4, Place Jussieu, Tour 56, 3e Etage, F-75252, Paris Cedex 05, France

    L. Overbeck

Authors
  1. L. Overbeck
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Additional information

Supported by an EC-Individual-Fellowship under Contract No. ERBCHBICT930682 and the SFB 256 of the University of Bonn, Germany

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Cite this article

Overbeck, L. Pathwise construction of additive H-transforms of super-Brownian motion. Probab. Th. Rel. Fields 100, 429–437 (1994). https://doi.org/10.1007/BF01268988

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  • Received: 03 February 1994

  • Revised: 28 December 1994

  • Issue Date: December 1994

  • DOI: https://doi.org/10.1007/BF01268988

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Mathematics Subject Classification (1991)

  • 60G57
  • 60J50
  • 60J80
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