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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Some irrational polygons have many periodic billiard paths
by
W. Patrick Hooper
Northwestern University

A polygon is rational if all of its angles are irrational multiple of pi, and irrational otherwise. Much more is known about periodic billiard paths in rational polygons than periodic billiard paths in irrational polygons. We will apply some ideas from rational billiards to show that there are rational polygons where the number of periodic billiard paths of length less than t grows superlinearly in t.

Date received: February 5, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawk-37.