24 citations · 52 across the 7 of their papers we have counts for
7 papers
Chirality for crooked curves
Giovanni Dietler, Robert Kusner, Wöden Kusner +2
Chiral objects rotate when placed in a collimated flow or wind. We exploit this hydrodynamic intuition to construct a tensorial chirality measure for rigid filaments and curves. Th…
A Gordian Pair of Links
Rob Kusner, Wöden Kusner
We construct a pair of isotopic link configurations that are not thick isotopic while preserving total length.
Hyperuniform point sets on the sphere: probabilistic aspects
Johann S. Brauchart, Peter J. Grabner, Wöden B. Kusner +1
The concept of hyperuniformity has been introduced by Torquato and Stillinger in 2003 as a notion to detect structural behaviour intermediate between amorphous disorder and crystal…
Hyperuniform point sets on the sphere: deterministic constructions
Johann Brauchart, Peter Grabner, Wöden Kusner
We study a generalisation of the concept of hyperuniformity to spheres of arbitrary dimension. It is shown that QMC-designs (and especially spherical designs) are hyperuniform in o…
The local optimality of the double lattice packing
Yoav Kallus, Wöden Kusner
This paper introduces a technique for proving the local optimality of packing configurations. Applying this technique to a general convex polygon, we prove that the construction of…
On the densest packing of polycylinders in any dimension
Wöden Kusner
Using transversality and a dimension reduction argument, a result of A. Bezdek and W. Kuperberg is applied to polycylinders , showing that the opti…
Upper bounds on packing density for circular cylinders with high aspect ratio
Wöden Kusner
In the early 1990s, A. Bezdek and W. Kuperberg used a relatively simple argument to show a surprising result: The maximum packing density of circular cylinders of infinite length i…