36 citations · 185 across the 21 of their papers we have counts for
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math.DS2007★ 8 cited
Topological entropy and blocking cost for geodesics in riemannian manifolds
Eugene Gutkin
For a pair of points in a compact, riemannian manifold let (resp. ) be the number of geodesic segments with length joining these points (res…
math.DS2007★ 10 cited
Growth rates for geometric complexities and counting functions in polygonal billiards
Eugene Gutkin, Michal Rams
We introduce a new method for estimating the growth of various quantities arising in dynamical systems. We apply our method to polygonal billiards on surfaces of constant curvature…
math.DS2007★ 3 cited
Growth of the number of geodesics between points and insecurity for riemannian manifolds
Keith Burns, Eugene Gutkin
A Riemannian manifold is said to be uniformly secure if there is a finite number such that all geodesics connecting an arbitrary pair of points in the manifold can be blocked b…