Abstract
This article provides an introduction to some recent results in billiard dynamics. We present results that follow from a study of compact Riemann surfaces (equipped with a holomorphic 1-form) and an SL2R action on the moduli spaces of these surfaces. We concentrate on the progress toward classification of "optimal" billiard tables, those with the simplest trajectory structure.
Original language | English (US) |
---|---|
Pages (from-to) | 33-52 |
Number of pages | 20 |
Journal | Bulletin of the American Mathematical Society |
Volume | 48 |
Issue number | 1 |
DOIs | |
State | Published - 2011 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics