15 citations · 33 across the 7 of their papers we have counts for
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math.DG1999
Topology of cyclic configuration spaces and periodic trajectories of multi-dimensional billiards
Michael Farber, Serge Tabachnikov
We give lowed bounds on the number of periodic trajectories in strictly convex smooth billiards in for . For plane billiards (when m=1) such bounds were obtained…
math.DG1999
Projective geometry of polygons and discrete 4-vertex and 6-vertex theorems
V. Ovsienko, S. Tabachnikov
The paper concerns discrete versions of the three well-known results of projective differential geometry: the four vertex theorem, the six affine vertex theorem and the Ghys theore…