Asymptotic properties of fragmentation processes

  • Robert Knobloch

Student thesis: Doctoral ThesisPhD

Abstract

Fragmentation processes describe phenomena of random splitting, with possibly infinite activity, according to certain rules that give rise to a close relation of these processes to branching processes and L´evy processes. In this thesis we study some asymptotic properties of fragmentation processes. More specifically, we prove certain strong laws of large numbers for self–similar fragmentations and we deal with the existence and uniqueness of solutions ofthe one–sided FKPP travelling wave equation for homogenous fragmentation processes. In addition to being concerned with standard fragmentation processes we also consider fragmentation processes with immigration, fragmentations stopped at a stopping line as well as killed fragmentation processes.
Date of Award1 Jan 2011
LanguageEnglish
Awarding Institution
  • University of Bath
SupervisorAndreas Kyprianou (Supervisor) & Simon Harris (Supervisor)

Keywords

  • fragmentation processes
  • FKPP equation
  • SLLN

Cite this

Asymptotic properties of fragmentation processes
Knobloch, R. (Author). 1 Jan 2011

Student thesis: Doctoral ThesisPhD