Thesis icon

Thesis

Partly exchangeable fragmentations

Abstract:

We introduce a simple tree growth process that gives rise to a new two-parameter family of discrete fragmentation trees that extends Ford's alpha model to multifurcating trees and includes the trees obtained by uniform sampling from Duquesne and Le Gall's stable continuum random tree. We call these new trees the alpha-gamma trees. In this thesis, we obtain their splitting rules, dislocation measures both in ranked order and in sized-biased order, and we study their limiting behaviour. We furt...

Expand abstract

Actions


Access Document


Files:

Authors


More by this author
Institution:
University of Oxford
Oxford college:
Jesus College
Department:
Mathematical,Physical & Life Sciences Division - Statistics

Contributors

Role:
Supervisor
Publication date:
2009
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:0e841fd3-51fa-4c72-be9f-08477e74d703
Local pid:
ora:5637

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP