First Advisor

Anton Dzhamay

Degree Name

Bachelor of Science

Document Type

Thesis

Date Created

5-1-2024

Department

College of Natural and Health Sciences, Mathematical Sciences, Mathematical Sciences Student Work

Abstract

This thesis determines the type of a particular discrete Painlevé equation using a geometric approach based on Sakai theory. Previous work on discrete Painlevé equations has connected the dynamics of these equations to actions of their symmetry groups on certain families of rational algebraic surfaces. There is a known procedure for identifying the geometry of a discrete Painlevé equation from its birational mapping. This thesis uses this known procedure to determine the type of a particular discrete Painlevé equation appearing in [9].

Abstract Format

html

Extent

36 pages

Rights Statement

Copyright is held by the author.

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