Survival of Near-Critical Branching Brownian Motion

Consider a system of particles performing branching Brownian motion with negative drift, and killed upon hitting zero. Initially there is one particle at x > 0. Kesten (Stoch. Process. Appl. 7:9-47, 1978) showed that the process survives with positive probability if and only if ε > 0....

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Bibliographic Details
Main Authors: Berestycki, J, Berestycki, N, Schweinsberg, J
Format: Journal article
Language:English
Published: 2011