Temporal decorrelation for branching random walks with state dependent branching rate

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528709844.pdf (268.67 KB)

Date

2007

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1202

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WIAS Preprints

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Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Abstract

We consider branching random walks in dge3 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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Keywords GND

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Report

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publishedVersion

URI

https://doi.org/10.34657/3304
 https://oa.tib.eu/renate/handle/123456789/2169

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Mathematik
WIAS Preprints

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