Rotation sets of billiards flows

Zainab Abdullah Alsheekhhussain

    Research output: ThesisDoctoral Thesis

    145 Downloads (Pure)

    Abstract

    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.

    Original languageEnglish
    QualificationDoctor of Philosophy
    Awarding Institution
    • The University of Western Australia
    Award date31 Oct 2017
    DOIs
    Publication statusUnpublished - 2017

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