91 citations · 276 across the 48 of their papers we have counts for
50 papers
Analog category and complexity
Ben Knudsen, Shmuel Weinberger
We study probabilistic variants of the Lusternik--Schnirelmann category and topological complexity, which bound the classical invariants from below. We present a number of computat…
Quantitative PL bordism
Fedor Manin, Shmuel Weinberger
We study PL bordism theories from a quantitative perspective. Such theories include those of PL manifolds, ordinary homology theory, as well as various more exotic theories such as…
Stability and instability of lattices in semisimple groups
Uri Bader, Alexander Lubotzky, Roman Sauer +1
Using cohomological methods, we show that lattices in semisimple groups are typically stable with respect to the Frobenius norm but not with respect to the operator norm.
Growth of k-dimensional systoles in congruence coverings
Mikhail Belolipetsky, Shmuel Weinberger
We study growth of absolute and homological -dimensional systoles of arithmetic -manifolds along congruence coverings. Our main interest is in the growth of systoles of manif…
Bounds on Cheeger-Gromov invariants and simplicial complexity of triangulated manifolds
Geunho Lim, Shmuel Weinberger
We show the existence of linear bounds on Wall -invariants of PL manifolds, employing a new combinatorial concept of -colored polyhedra. As application, we show that how the…
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…