Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards
classification
🧮 math.DS
keywords
complexitybilliardsconvexpiecewisepolygonaltransformationsapplicationsapply
read the original 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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