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Mathematics
Dynamical Systems
Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards
E. Gutkin
,
S. Tabachnikov
Abstract
We introduce the class of piecewise convex transformations, and study their complexity. We apply the results to the complexity of polygonal billiards on surfaces of constant curvature.
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Submitted on 16 Dec 2004 (v1), last revised 18 Jan 2005 (this version, v2)
Updated
arXiv.org
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