#
Lindley-type equations in the branching random walk

by J.D.Biggins

*Stoc. Proc. Appl.*, (1998) **?**,
105-133.

1991 Mathematics Subject Classification: 60J80

## Abstract

An analogue of the Lindley equation for random walk is
studied in the context of the branching random walk,
taking up the studies of
Karpelevich, Kelbert and Suhov (1993a, 1994a).
The main results are: (i) close to necessary
conditions for the equation to have a solution,
(ii) mild conditions for there to be a one-parameter family of
solutions (iii) mild conditions for this family
to be the only possible solutions.

## Availability: preprints

postscript file
dvi file

There is an error in the statement of Proposition 3 and Corollary 3.
In the first display in each case
the logarithm of the right hand side is needed. The correct
result was used in the arguments.

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