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Title: Fragmentation-coalescence processes : theory and applications
Author: Pagett, Steven
ISNI:       0000 0004 6352 8005
Awarding Body: University of Bath
Current Institution: University of Bath
Date of Award: 2017
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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.
Supervisor: Rogers, Timothy ; Kyprianou, Andreas Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available