Date of Award
Doctor of Philosophy
Jan Rosinski, Carl Wagner, Mary Leitnaker
Given p independent, symmetric random walks on d-dimensional integer lattice that are the domain of attraction for a stable distribution, we calculate the moderate deviation of the intersection of ranges of the random walks in the case where the walks intersect infinitely often as time goes to infinity. That is to say, we establish a weak law convergence of intersection of ranges to intersection local time of stable processes and use this convergence as a link to establish deviation results.
Grieves, Justin Anthony, "Moderate deviation of intersection of ranges of random walks in the stable case. " PhD diss., University of Tennessee, 2011.