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Branching Brownian motion in a strip: Survival near criticality

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We consider a branching Brownian motion in which particles are killed on exiting a strip and study the evolution of the process as the width of the strip shrinks to the critical value at which survival is no longer possible. We obtain asymptotics for the survival probability near criticality and a limit result for the distribution of the process conditioned on survival. This is joint work with Simon Harris and Andreas Kyprianou.

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