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Semi-annual Workshop on Dynamical Systems and Related Topics
March 18-21, 2000
University of Maryland
College Park, MD, USA

Organizers
Brian R. Hunt, Michael Jakobson

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Calculus of the number of billiard geodesics
by
Gregory Galperin
Eastern Illinois University

A new (almost sharp) upper estimate for the number of billiard trajectories in a polygon and the number of geodesics on the surface of a polyhedron (both with "pockets") will be given. The result is based on the new üncertainty principle" for polygons and polyhedra discovered by the speaker recently.

Date received: March 4, 2000

Copyright © 2000 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 # caep-09.