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SUMMARY:The front location in branching Brownian motion with decay of mass
  - Sarah Pennington (Oxford)
DTSTART:20170307T163000Z
DTEND:20170307T173000Z
UID:TALK70620@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We add a competitive interaction between nearby particles in a
  branching Brownian motion (BBM). Each particle has a mass\, which decays 
 at rate proportional to the local mass density at its location. The total 
 mass increases through branching events. In standard BBM\, we may define t
 he front location at time t as the greatest distance of a particle from th
 e origin. For the model with masses\, it makes sense to instead define the
  front displacement as the distance at which the local mass density drops 
 from Θ(1) to o(1). We can show that in a weak sense this front is ~ c t^{
 1/3} behind the front for standard BBM.\nI will discuss the proof of this 
 result and progress on further results related to this model.\nThis is joi
 nt work with Louigi Addario-Berry.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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