Departmental Honors Project Title

Random Walks on Simple Two-Dimensional Manifolds

Date of Award

Spring 2018

Degree Type

Honors Project

School

College of Liberal Arts

First Advisor

Arthur Guetter

Abstract

A C++ implementation of random walks is constructed with examples for the plane, sphere, and torus included. This package is available publicly, and can be expanded to different situations on the included surfaces as well as other surfaces. The random walks are studied by measuring how long they take to reach a pre-defined escape region on the surface. These escape regions and their interaction with the surface are what affect the behavior of the random walks the most.

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