2 papers
math.DS2025
Optical Billiards
Sylvie Oliffson Kamphorst, Sônia Pinto-de-Carvalho, Cássio Henrique Vieira Morais
This paper investigates the dynamics of optical billiards, a generalization of classic billiards, where light rays travel within a refractive medium and reflect elastically at the…
math.DS2024
On the role of the surface geometry in convex billiards
Mario Jorge Dias Carneiro, Sylvie Oliffson Kamphorst, Sonia Pinto-de-Carvalho +1
This work presents a framework for billiards in convex domains on two dimensional Riemannian manifolds. These domains are contained in connected, simply connected open subsets whic…