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Showing 2013 · math.PRShow all
3 papers · 2 filters
math.PR2013★ 1 cited
A strong law of large numbers for branching processes: almost sure spine events
Simon C. Harris, Matthew I. Roberts
We demonstrate a novel strong law of large numbers for branching processes, with a simple proof via measure-theoretic manipulations and spine theory. Roughly speaking, any sequence…
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…