Dissertation Information for Thomas Simon MountfordNAME:
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SCHOOL: ADVISORS: COMMITTEE MEMBERS: MPACT Status: Incomplete - Not_Inspected Title: ASPECTS OF BROWNIAN MOTION Abstract: This thesis is concerned with the various aspects of Brownian motion. The first chapter deals with planar Brownian motion and was prompted by the papers of Lyons and McKean (1984) and Pitman and Yor (1986). The first section establishes that the process $\{(\theta\sp{a}, \theta\sp{b}): t \ge 0\}$ is transient, where $\theta\sp{a}$ and $\theta\sp{b}$ are the windings about two distinct points. In the next section, we make some general comments on a class of processes which generalize the above process. The succeeding section demonstrates a method of acquiring information about the homotopy word for planar Brownian motion in the twice punctured plane. We conclude the chapter with a result concerning the occupation of wedges by Brownian motion in a time neighbourhood of 0. |
MPACT Scores for Thomas Simon MountfordA = 0 Advisors and Advisees Graph |