Complexity of piecewise convex transformations, with applications to polygonal billiards on surfaces of constant curvature
Serge Tabachnikov | Gutkin, Eugene
convex | piecewise | billiard | outer | polygon | constant curvature | complexity
We introduce piecewise convex transformations, and develop geometric tools to study their complexity. We apply the results to the complexity of polygonal inner and outer billiards on surfaces of constant curvature.