The thesis studies rotation sets for billiards flows in the exterior of several strictly convex bodies in Euclidean spaces (open billiards) and tori. In both cases, the thesis shows that the rotation set is convex, and the rotation vectors of periodic trajectories are dense in the rotation set. In addition, for open billiards with circular obstacles, it shows that the general rotation set can be obtained by an explicit, purely geometric construction.
|Qualification||Doctor of Philosophy|
|Award date||31 Oct 2017|
|Publication status||Unpublished - 2017|