arXiv subjects

E. Gutkin

Publications and source records attributed to E. Gutkin.

2 recordsLinked to original sources

arXiv2005

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

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.

math.DS↗

arXiv1999

Hyperbolic Billiards on Surfaces of Constant Curvature

We establish sufficient conditions for the hyperbolicity of the billiard dynamics on surfaces of constant curvature. This extends known results for planar billiards. Using these conditions, we construct large classes of billiard tables with positive Lyapunov exponents on the sphere and on the hyperbolic plane.

chao-dyn↗