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Measure-valued branching diffusions with spatial interactions
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  • Published: June 1992

Measure-valued branching diffusions with spatial interactions

  • Edwin Perkins1 

Probability Theory and Related Fields volume 94, pages 189–245 (1992)Cite this article

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  • 22 Citations

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Summary

A strong equation driven by a historical Brownian motion is used to construct and characterize measure-valued branching diffusions in which the spatial motions obey an Itô equation with drift and diffusion depending on the position of an individual and the entire population.

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Authors and Affiliations

  1. Mathematics Department, University of British Columbia, 121-1984 Mathematics Road, V6T 1Y4, Vancouver, BC, Canada

    Edwin Perkins

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  1. Edwin Perkins
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Perkins, E. Measure-valued branching diffusions with spatial interactions. Probab. Th. Rel. Fields 94, 189–245 (1992). https://doi.org/10.1007/BF01192444

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  • Received: 18 November 1991

  • Issue Date: June 1992

  • DOI: https://doi.org/10.1007/BF01192444

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Mathematics Subject Classification

  • 60 G 57
  • 60 K 35
  • 60 H 15
  • 60 J 80
  • 60 H 05
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