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The isoperimetric problem in block designs
(2018)This thesis focuses on the problem of determining the isoperimetric numbers of Levi graphs of balanced incomplete block designs. We study two versions of this: the vertexisoperimetric number and the edgeisoperimetric ... 
Statistical models for the location of lightningcaused wildfire ignitions
(2018)Lightningcaused wildfire is a significant concern for fire management agencies worldwide. Unlike other ignition sources, lightning fires often occur in remote and inaccessible locations making detection and suppression ... 
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 ...