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A note on superprocesses
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  • Published: June 1991

A note on superprocesses

  • Alison Etheridge1 &
  • Peter March2 

Probability Theory and Related Fields volume 89, pages 141–147 (1991)Cite this article

  • 293 Accesses

  • 31 Citations

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Summary

Subject to a mild restriction onA, generator of the one-particle motion, we show theA-Fleming-Viot superprocess can be obtained from theA-Dawson-Watanabe superprocess by conditioning the latter to have constant total mass.

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References

  1. Dynkin, E.B.: Regular transition functions and regular superprocesses. Trans. Am. Math. Soc.316, 623–634 (1989)

    Google Scholar 

  2. Fitzimmons, P.J.: Construction and regularity of measure-valued Markov branching processes. Isr. J. Math.64, 337–361 (1988)

    Google Scholar 

  3. Joffe, A., Métivier, M.: Weak convergence of sequences of semi martingales, with applications to multitype branching processes. Adv. Appl. Probab.18, 20–65 (1986)

    Google Scholar 

  4. Konno, N., Shiga, T.: Stochastic differential equations for some measure valued diffusions. Probab. Th. Rel. Fields79, 201–225 (1988)

    Google Scholar 

  5. Roelly-Coppoletta, S.: A criterion of convergence of measure-valued processes; application to measure branching processes. Stochastics17, 43–65 (1986)

    Google Scholar 

  6. Stroock, D.W., Varadhan, S.R.S.: Multidimensional diffusion processes. Berlin Heidelberg New York: Springer 1979

    Google Scholar 

  7. Tribe, R.: The behaviour of superprocesses near extinction. Probab. Th. Rel. Fields. (1989) (to appear)

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Author information

Authors and Affiliations

  1. New College, OX1 3BN, Oxford, England

    Alison Etheridge

  2. Department of Mathematics, The Ohio State University, 231 West 18th Avenue, 43210, Columbus, OH, USA

    Peter March

Authors
  1. Alison Etheridge
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  2. Peter March
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Additional information

Research conducted while a Sir Christopher Cox Junior Research Fellow

Research supported in part by the National Science Foundation grant NSF-DMS-89-3474

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Cite this article

Etheridge, A., March, P. A note on superprocesses. Probab. Th. Rel. Fields 89, 141–147 (1991). https://doi.org/10.1007/BF01366902

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  • Received: 26 June 1990

  • Issue Date: June 1991

  • DOI: https://doi.org/10.1007/BF01366902

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Keywords

  • Stochastic Process
  • Probability Theory
  • Total Mass
  • Mathematical Biology
  • Mild Restriction
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