Limiting distributions for branching random fields

Fleischman, Joseph

doi:10.1090/S0002-9947-1978-0478375-X

Limiting distributions for branching random fields
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by Joseph Fleischman PDF

Trans. Amer. Math. Soc. 239 (1978), 353-389 Request permission

Abstract:

In this paper we derive limiting distributions for branching Brownian motion. The cases considered are where the state space is (1) the line and (2) the plane where (a) initially there’s but one particle and (b) where there’s initially a random number of independent particles. In all cases, the branching process is critical and we obtain results for the growth of selectively neutral mutant types. We use moment generating functions to derive these results.

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