15 citations · 79 across the 28 of their papers we have counts for
4 papers · 1 filter
Sequential parametrized motion planning and its complexity, II
Michael Farber, Amit Kumar Paul
This is a continuation of our recent paper in which we developed the theory of sequential parametrized motion planning. A sequential parametrized motion planning algorithm produced…
The homology of random simplicial complexes in the multi-parameter upper model
Michael Farber, Tahl Nowik
We study random simplicial complexes in the multi-parameter upper model. In this model simplices of various dimensions are taken randomly and independently, and our random simplici…
Parametrized motion planning and topological complexity
Michael Farber, Shmuel Weinberger
In this paper we study paramertized motion planning algorithms which provide universal and flexible solutions to diverse motion planning problems. Such algorithms are intended to f…
Parametrized topological complexity of sphere bundles
Michael Farber, Shmuel Weinberger
Parametrized motion planning algorithms have high degree of flexibility and universality, they can work under a variety of external conditions, which are viewed as parameters and f…