Probability and Statistics Seminar: On stability of traveling wave solutions for integro-differential equations related to branching Markov processes

  • Date: –11:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Pasha Tkachov, Gran Sasso Science Institute
  • Organiser: Matematiska institutionen
  • Contact person: Xing Shi Cai
  • Seminarium

Abstract: The aim of the talk is to present results on stability of traveling waves for integro-differential equations connected with branching Markov processes. In other words, the limiting law of the left-most particle of a time-continuous branching Markov process with a Lévy non-branching part is shown. In particular, Bramson's correction is obtained. The key idea is to approximate the branching Markov process by a branching random walk and apply the result of Aïdékon on the limiting law of the latter one.