All ETDs from UAB

Advisory Committee Chair

Nandor J Simanyi

Advisory Committee Members

Alexander Blokh

Alan Sprague

Wenzhang Huang

Shan Zhao

Document Type

Dissertation

Date of Award

2016

Degree Name by School

Doctor of Philosophy (PhD) College of Arts and Sciences

Abstract

In this dissertation, we include three mostly self-contained papers which each describe the homotopical rotation set of a billiard flow on a three-dimensional flat torus. Each model is discussed in detail, radial estimates are computed for the homotopical rotation sets, and topological entropy is computed using various methods. We also provide proofs of some characteristics of the so-called admissible rotation sets.

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