Conditional Dawson—Watanabe Processes and Fleming—Viot Processes

Perkins, Edwin A.

doi:10.1007/978-1-4612-0381-0_12

Edwin A. Perkins⁸

Part of the book series: Progress in Probability ((PRPR,volume 29))

298 Accesses
22 Citations

Abstract

There has been interest recently in establishing connections between the Dawson-Watanabe and Fleming-Viot superprocesses (eg. Konno-Shiga (1988), Etheridge-March (1991)). Sometimes results are more readily derived for one class of processes but one would like to be able to infer them for the other with minimal effort. Tribe (1989) used the Konno-Shiga (1988) results to analyze the Dawson-Watanabe superprocess near extinction.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 84.99; Price excludes VAT (USA)

Softcover Book: USD 109.99; Price excludes VAT (USA)

Hardcover Book: USD 109.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

List of References

Dawson, D.A. and Perkins, E.A. (1991). Historical Processes, Memoirs of the A.M.S.no. 454.
Google Scholar
Etheridge, A. and March, P. (1991). A note on superprocesses, Probab. Theory Rel Fields 89, 141–1481.
Article MathSciNet MATH Google Scholar
Ethier, S.N. and Kurtz, T.G. (1986). Markov Processes: Characterization and Convergence, Wiley, New York.
MATH Google Scholar
Konno, N. and Shiga, T. (1988). Stochastic differential equations for some measure-valued diffusions, Probab. Theory Rel. Fields 79, 201–225.
Article MathSciNet MATH Google Scholar
Roelly-Coppoletta, S. (1986). A criterion of convergence of measure-valued processes; application to measure branching processes, Stochastics 17, 43–65.
Article MathSciNet MATH Google Scholar
Tribe, R. (1991). The behaviour of superprocesses near extinction, to appear in Ann. Prob.
Google Scholar
Walsh, J.B. (1986). An introduction to stochastic partial differential equations. Lecture notes in Math. 1180,Springer-Ver lag, Berlin.
Google Scholar
Yor, Marc (1978). Remarques sur la representation des martingales comme integrales stochastiques. Seminaire de Probabilités XII, Lecture notes in Math. 649, 502–517, Springer-Verlag, Berlin.
Google Scholar

Download references

Author information

Authors and Affiliations

Mathematics Department, U.B.C., Vancouver, B.C., Canada, V6T 1Z2
Edwin A. Perkins

Authors

Edwin A. Perkins
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Dept. of Civil Engineering and Operations Research, Princeton University, Princeton, NJ, 08544, USA
E. Çinlar
Dept. of Mathematics, Stanford University, Stanford, CA, 94305, USA
K. L. Chung
Dept. of Mathematics, University of California-San Diego, La Jolla, CA, 92093, USA
M. J. Sharpe & P. J. Fitzsimmons &
Dept. of Mathematics, University of California, Los Angeles, CA, 90024, USA
S. Port & T. Liggett &

Rights and permissions

Reprints and permissions

Copyright information

About this chapter

Cite this chapter

Perkins, E.A. (1992). Conditional Dawson—Watanabe Processes and Fleming—Viot Processes. In: Çinlar, E., Chung, K.L., Sharpe, M.J., Fitzsimmons, P.J., Port, S., Liggett, T. (eds) Seminar on Stochastic Processes, 1991. Progress in Probability, vol 29. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0381-0_12

Download citation

DOI: https://doi.org/10.1007/978-1-4612-0381-0_12
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6735-5
Online ISBN: 978-1-4612-0381-0
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics