The multitype measure branching process

Author:

Gorostiza Luis G.,Lopez-Mimbela Jose A.

Abstract

The existence of the multitype measure branching process is established as a small particle limit of a system of particles of several types in Rd with immigration undergoing migration, branching and mutation. The process is characterized as a solution of a martingale problem. The single-type case was studied by Dawson (1975), (1977) and Watanabe (1968).

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference36 articles.

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4. Dawson D. A. , Iscoe I. and Perkins E. A. (1988) Super-Brownian motion: path properties and hitting probabilities. Prob. Theory Rel. Fields. To appear.

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