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This paper extends earlier work by Cox and Durrett, who studied the coalescence times for two lineages in the stepping stone model on the two-dimensional torus. We show that the genealogy of a sample… (More)
We show that the centred occupation time process of the origin of a system of critical binary branching random walks in dimension d ≥ 3, started off either from a Poisson field or in equilibrium,… (More)
We consider a spatial multi-type branching model in which individuals migrate in geographic space according to random walks and reproduce according to a state-dependent branching mechanism which can… (More)