Branching Random Walk in an Inhomogeneous Breeding Potential

  • Sergey Bocharov
  • Simon C. Harris
Part of the Lecture Notes in Mathematics book series (LNM, volume 2123)


We consider a continuous-time branching random walk in the inhomogeneous breeding potential β | ⋅ |  p , where β > 0, p ≥ 0. We prove that the population almost surely explodes in finite time if p > 1 and doesn’t explode if p ≤ 1. In the non-explosive cases, we determine the asymptotic behaviour of the rightmost particle.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of BathBathUK

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