Date Created
5-2024
Document Type
Thesis
Degree Name
Bachelor of Science
Department
College of Natural and Health Sciences, Mathematical Sciences, Mathematical Sciences Student Work
First Advisor
Anton Dzhamay
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.
Recommended Citation
Moore, Logan, "Geometric Identification of Discrete Painlevé Equations" (2024). Undergraduate Honors Theses. 96.
https://digscholarship.unco.edu/honors/96