Technion, IEM faculty - Seminar in Probability and Stochastic Processes Speaker: Piotr Milos, University of Warsaw Title: Heavy-tailed branching L\'evy motion in in-homogenous potential. Date: 15/01/2013 Time: 11:30 Place: Hashmal-861 Abstract: <http://ie.technion.ac.il/seminar_files/1358084299_Piotr.rtf> Or read it here: Abstract: In my talk I will present results concerning a branching system as follows. Particles evolve according to a Levy motion with heavy tails. They branch according to dyadic branching law. We consider three different regimes of the branching rate: - constant, then the size system grows exponentially. The speed of the right-most particle differs from - \beta \log, then the size of the system grows as exp(exp(\beta/(e \alpha)t)), - \log^{1+\epsilon}, then almost surely the system explodes, i.e. produces infinite number of particles in finite time. These are joint results with Simon Harris (University of Bath) --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: <nickc@.technion.ac.il>