Graduation Year
2024
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Prof. Christopher Towse
Reader 2
Prof. Lenny Fukshansky
Terms of Use & License Information
Rights Information
2024 Daisy H Achiriloaie
Abstract
The points on elliptic curves will form a group under addition. We can create an endomorphism on an elliptic curve by doubling all the points on the curve, called a doubling map. The Lattes map is defined around such a multiplication-by-d map, and very surprisingly, turns out to be chaotic. In this thesis I discuss the Lattes map and why it is chaotic, how we might define chaos in a system like this, and how many of these maps can be generated from different elliptic curves.
Recommended Citation
Achiriloaie, Daisy, "Chaos on Elliptic Curves: the Lattes Map" (2024). Scripps Senior Theses. 2294.
https://scholarship.claremont.edu/scripps_theses/2294
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.
