University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > Branching Brownian motion with decay of mass

Branching Brownian motion with decay of mass

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  • UserSarah Penington, University of Bath
  • ClockThursday 08 November 2018, 15:00-16:00
  • HouseWatson LTB.

If you have a question about this talk, please contact Henning Sulzbach.

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 mass density in a window centred at the location of the particle. The total mass of the system increases through branching events. In standard BBM , we may define the front location at time t as the location of the rightmost particle. For BBM with decay of mass, it makes sense to instead define the front location as the location at which the local mass density drops to o(1). We can show that in a weak sense this front is (roughly) t^(1/3) behind the front for standard BBM . Several interesting questions about this model remain open. Joint work with Louigi Addario-Berry and Julien Berestycki.

This talk is part of the Combinatorics and Probability Seminar series.

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