School of Mathematics and Statistics
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The exact asymptotics of large deviation probabilities in the multivariate boundary crossing problem
(2018)For a multivariate random walk with i.i.d. jumps satisfying the Cramer moment condition and having a mean vector with at least one negative component, we derive the exact asymptotics of the probability of ever hitting the ... 
Chevalley groups and finite geometry
(2018)This thesis explores the possible use of Schubert cells, Schubert varieties and flag varieties in finite geometry, particularly in regard to the question of these objects might be a source of understanding of ovoids or ... 
Extinction in branching processes with countably many types
(2018)Multitype branching processes describe the evolution of populations in which individuals give birth independently according to a probability distribution that depends on their type. In this thesis, we consider the extinction ...