General Information
| Student: | Cherre Jefferson |
|---|---|
| Office: | 536 |
| School: | Morgan State University, Mathematics Major |
| E-mail: | chjef1@morgan.edu |
| cherrej@dimax.rutgers.edu | |
| Project: | Periodic Orbits |
Project Question
Arbitrarily label the sides of the triangle 0, 1, 2 and consider the sequence of integers modulo 3 given by the successive bounces of a billiards trajectory. Clearly periodic trajectories yield periodic sequences. For example, the sequences 01020102... is given by the period 4 orbit (1, 1). If {an} is a periodic mod 3 sequence, is {an} given by some billiards trajectory?
Problem was presented in the paper, " Periodic Orbits for Billiards on an Equilateral Triangle ". Authors: Andrew M. Baxter and Ronald Umble
Weekly Log
- Week 1:
- Move into Richardson apartment. Meet mentor and figure out a research question.
- Week 2:
- Work on the first presentation. Begin filling out graduate school applications.
- Week 3:
Presentations
Additional Information
- My Mentors
- My Personal Website