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math.PR2013
Branching Brownian Motion with catalytic branching at the origin
Sergey Bocharov, Simon C. Harris
We consider a branching Brownian motion in which binary fission takes place only when particles are at the origin at a rate β> 0 on the local time scale. We obtain results regardin…
math.PR2013
Branching Random Walk in an inhomogeneous breeding potential
Sergey Bocharov, Simon C. Harris
We consider a continuous-time branching random walk in the inhomogeneous breeding potential , where , . We prove that the population almost surely explodes…