Student: | Cherre Jefferson |
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Office: | 536 |

School: | Morgan State University, Mathematics Major |

E-mail: | chjef1@morgan.edu |

cherrej@dimax.rutgers.edu | |

Project: | Periodic Orbits |

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 {a_{n}} is a periodic mod 3 sequence, is {a_{n}} 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

- 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:

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