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

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

2004-12-16

arxiv.org/abs/math/0412335v2

Mathematics

Dynamical Systems

references added, typos corrected

Scientific paper

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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