Lina Jichi

Publication Date

12-1998

Advisor(s) - Committee Chair

David Neal, Daniel Biles, Randall Swift

Comments

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Degree Program

Department of Mathematics

Degree Type

Master of Science

Abstract

In this thesis, we will discus the finite step random walk and how we can find the exact probability of ending at a specific height k with and without having constant steps. We will also find the arclength and average area of general heights. Then we find the limits as the number of steps approaches infinity for their expected values and variances. Finally, we discuss the boundary problem and how to find average area for a random walk when stopping at heights 0 or n. For the boundary problem, we will also use a numerical matrix method to find average area for arbitrary heights h and k. Then we will verify the results numerically with computer software.

Disciplines

Mathematics | Physical Sciences and Mathematics

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