Graduate Research and Discovery Symposium (GRADS)

Title

Infinite Billiard Tables and Involutive Surfaces

Advisor

Martin Schmoll

Document Type

Poster

Department

Mathematical Sciences

Publication Date

Spring 2013

Abstract

In the 20th century, mathematicians studied the motion of particles with elastic collisions (called \"billiards\") as simple examples showcasing a variety of interesting dynamical properties. In the last decade infinite billiard tables have attracted attention because new, interesting phenomena have been observed. Particularly, billiards in infinite billiard tables may have self-similar, fractal-like trajectories. We introduce a new tool for studying these infinite billiard systems, and show how this tool may be used to study billiards in the periodic Ehrenfest wind-tree model. We then provide a condition for determining when this tool can be applied to a given infinite billiard table.

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