Fragmentation-Coalescence Processes: Theory and Applications

Abstract

The main objects of study in this thesis are fragmentation-coalescence processes, where particles are grouped into clusters and evolve by either joining together, to form larger clusters, or splitting apart, to form smaller clusters. The focus is on the number of these clusters and the distribution of their sizes.In particular, we show for a certain class of processes defined on a finite system that there is convergence in the thermodynamic limit to an infinite system. For a second class of processes we show there is a phase transition between regimes where the number of clusters has an entrance law from ∞ or not.

Date of Award	26 Apr 2017
Original language	English
Awarding Institution	University of Bath
Supervisor	Tim Rogers (Supervisor) & Andreas Kyprianou (Supervisor)