S0273-0979-2010-01322-7.pdf (1.63 MB)
Download fileThe conformal geometry of billiards
journal contribution
posted on 27.05.2011, 00:00 authored by Laura G. DeMarcoThis 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.