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.
This talk is part of the Cambridge Analysts' Knowledge Exchange series.
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Wednesday 02 May 2012, 16:00-17:30