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arXiv:math/0412335 [math.DS]AbstractReferencesReviewsResources

Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards

E. Gutkin, S. Tabachnikov

Published 2004-12-16, updated 2005-01-18Version 2

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.

Comments: references added, typos corrected
Journal: Moscow Mathematical Journal 6 (2006), 673 -- 701
Categories: math.DS
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