WIAS Preprint No. 1202, (2007)

Temporal decorrelation for branching random walks with state dependent branching rate



Authors

  • Birkner, Matthias

2010 Mathematics Subject Classification

  • 60K35

Keywords

  • State dependent branching, temporal decorrelation

Abstract

We consider branching random walks in $d ge 3$ with a Lipschitz branching rate function and show that the system, starting either in a Poisson field or in equilibrium, decorrelates over long time horizons, and employ this to obtain an ergodic theorem. We use coupling and a stochastic representation of the Palm distribution.

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