#
The growth and spread of the general
branching random walk

by J.D.Biggins

*Annals of Applied Probability*, (1995) **5**,
1008-1024.

1991 Mathematics Subject Classification: 60J80

## Abstract

A general (Crump-Mode-Jagers) spatial
branching process is considered. The
asymptotic behaviour of the numbers present at time $t$
in sets of the form $[ta, \infty)$ is obtained. As a consequence
it is shown that, if $B_t$ is the position of the
rightmost person at time $t$, $B_t/t$ converges to a constant,
which can be obtained from the individual reproduction law,
almost surely on the survival set of the process.
This generalizes the known discrete-time results.

## Availability

postscript file
dvi file

See also the companion paper

Other publications by J.D. Biggins
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