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Thesis

Asymmetric particle systems and last-passage percolation in one and two dimensions

Abstract:

This thesis studies three models: Multi-type TASEP in discrete time, long-range lastpassage percolation on the line and convoy formation in a travelling servers model. All three models are relatively easy to state but they show a very rich and interesting behaviour.

The TASEP is a basic model for a one-dimensional interacting particle system with non-reversible dynamics. We study some aspects of the TASEP in discrete time and compare the results to recently obtained results for the ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Oxford college:
Keble College
Role:
Author

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Division:
MPLS
Department:
Statistics
Role:
Supervisor
Publication date:
2012
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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