AMCA: Dispersing, Defocusing and Astigmatism by Leonid Bunimovich

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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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Dispersing, Defocusing and Astigmatism
by
Leonid Bunimovich
Georgia Institute of Technology

We will discuss the new examples of chaotic high-dimensional (d > 2) billiards. The corresponding domains ('billiard tables") have focusing components of the boundary. Such examples in two dimensions were known since early 70s. However the new obstacle, well known in the geometrical optics as the astigmatism, comes into play in d > 2. As the prise to astigmatism we allow (to the contrary to d=2) only relatively small focusing components of the boundary.

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 Mathematical Conference Abstracts. Document # caep-12.