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Title: On the Pfaffian property of annihilating random walk and coalescing random walk
Author: Yip, Siu Kwan
ISNI:       0000 0004 5363 6424
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2014
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In this thesis we are to investigate two discrete interacting particle systems, namely annihilating random walk and coalescing random walk. By mapping the annihilating random walk to Glauber model and employing empty interval method respectively, we prove there is a similar structure behind them albeit their apparent differences, that is, they are both Pfaffian point process under a special initial condition. Then we extend the result to investigate whether the Pfaffian property preserves in the case of multi-time correlation function, which is called extended Pfaffian property. And we also investigate the case which the initial condition is changed from independent particles to another peculiar one-sided initial condition and proved it also preserved the Pfaffian property.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics