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)|
|Number of pages||20|
|Journal||Bulletin of the American Mathematical Society|
|State||Published - 2011|
ASJC Scopus subject areas
- Applied Mathematics