Branching Diffusions on the Boundary and the Interior of Balls

  • Marion Hesse

Student thesis: Doctoral ThesisPhD

Abstract

The object of study in this thesis are branching diffusions which arise as stochastic models for evolving populations.Our focus lies on studying branching diffusions in which particles or, more generally, mass gets killed upon exiting a ball. In particular, we investigate the way in which populations can survive within a ball and how the mass evolves upon its exit from an increasing sequence of balls.
Date of Award17 Dec 2013
LanguageEnglish
Awarding Institution
  • University of Bath
SupervisorAndreas Kyprianou (Supervisor) & Simon Harris (Supervisor)

Cite this

Branching Diffusions on the Boundary and the Interior of Balls
Hesse, M. (Author). 17 Dec 2013

Student thesis: Doctoral ThesisPhD