36 citations · 185 across the 21 of their papers we have counts for
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math.DS2005
Connecting geodesics and security of configurations in compact locally symmetric spaces
Eugene Gutkin, Viktor Schroeder
A pair of points in a riemannian manifold makes a secure configuration if the totality of geodesics connecting them can be blocked by a finite set. The manifold is secure if every…
math.DS2005★ 8 cited
Complexity of piecewise convex transformations in two dimensions, with applications to polygonal billiards
E. Gutkin, S. Tabachnikov
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 curvat…