Author

Sky Bowling

Date of Award

2024

Document Type

Thesis

Degree Name

Bachelors

Department

Natural Sciences

First Advisor

McDonald, Patrick

Area of Concentration

Applied Mathematics

Abstract

We define two random growth processes taking values in subsets of the integer lattice Z×Z. We use the processes to generate random convex hull processes and numerically study the ratio of the expected value of the corresponding areas. Our results lead us to conjecture an asymptotic inequality for the ratio of the expected areas.

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