15 citations · 43 across the 6 of their papers we have counts for
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math.AT2001
Topological complexity of motion planning
Michael Farber
In this paper we study a notion of topological complexity for the motion planning problem. The topological complexity is a number which measures discontinuity of the process of mot…
math.DG2001
Zeros of closed 1-forms, homoclinic orbits, and Lusternik - Schnirelman theory
Michael Farber
In this paper we study topological lower bounds on the number of zeros of closed 1-forms without Morse type assumptions. We prove that one may always find a representing closed 1-f…
math.DG2001
Periodic trajectories in 3-dimensional convex billiards
Michael Farber, Serge Tabachnikov
We give lower bound on the number of periodic billiard trajectories inside a generic smooth strictly convex closed surface in 3-space: for odd n, there are at least 2(n-1) such tra…