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- W827030059 abstract "Consider a supercritical Bellman-Harris process evolving from one particle. We superimpose on this process the additional structure of movement. A particle whose parent was at x at its time of birth moves until it dies according to a given Markov process X starting at x. The motions of different particles are assumed independent. In this paper we show that when the movement process X is standard Brownian the proportion of particles with position {{{{ SQRT { t} }}}} b and agea tends with probability 1 to A(a)(b) where A(.) and (.) are the stable age distribution and standard normal distribution, respectively. We also extend this result to the case when the movement process is a Levy process." @default.
- W827030059 created "2016-06-24" @default.
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- W827030059 date "1999-01-01" @default.
- W827030059 modified "2023-10-18" @default.
- W827030059 title "LAW OF LARGE NUMBERS FOR BRANCHING BROWNIAN MOTION" @default.
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