Temporal decorrelation for branching random walks with state dependent branching rate
- Birkner, Matthias
2010 Mathematics Subject Classification
- State dependent branching, temporal decorrelation
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.