S. Tabachnikov

activity

19952023

most citedOpen Problems, Questions, and Challenges in Finite-Dimensional Integrable Systems

47 citations · 313 across the 74 of their papers we have counts for

collaborators

Showing 1999Show all

2 papers · 1 filter

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 $R^{m + 1}$ for $m \geq 3$ . For plane billiards (when m=1) such bounds were obtained…

math.DG1999★ 2 cited

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…