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The Spread of Branching Diffusion under Stabilizing Drift
Authors:Olga Korosteleva
Affiliation:1. okoroste@csulb.edu
Abstract:A one-dimensional branching diffusion with a stabilizing drift is considered. We prove a theorem on the in-probability asymptotic behaviour of R t , the right frontier of the process over a time interval [0, t].
Keywords:Branching diffusion  Stabilizing drift  Poisson tidal wave  Stochastic motion  Primary 60J80  Secondary 60J60
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