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Fluctuations of spatial branching processes with mean-field interaction
Published online by Cambridge University Press: 01 July 2016
Abstract
We consider a branching Brownian motion on starting with n particles of mass 1/n, with interactive branching dynamics. The parameters are unsealed, but depend on the present state of the measure-valued process. For this mean-field model, which is a generalization of Chauvin and Rouault (1990) and Nappo and Orlandi (1988), we prove a propagation of chaos and a fluctuation theorem in ([0, T]; W–5).
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- Copyright © Applied Probability Trust 1991
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