An infinite particle system with additive interactions

1 June 1979

journal article
Published by Cambridge University Press (CUP) in Advances in Applied Probability

Vol. 11 (2) , 355-383
https://doi.org/10.2307/1426844

Abstract

The models under consideration are a class of infinite particle systems which can be written as a superposition of branching random walks. This paper gives some results about the limiting behavior of the number of particles in a compact set as t → ∞ and also gives both sufficient and necessary conditions for the existence of a non-trivial translation-invariant stationary distribution.

Keywords

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