3 citations · 3 across the 1 of their papers we have counts for
3 papers
Spatially Extended Dislocations Produced by the Dispersive Swift-Hohenberg Equation
Brenden Balch, Patrick D. Shipman, R. Mark Bradley
Motivated by previous results showing that the addition of a linear dispersive term to the two-dimensional Kuramoto-Sivashinsky equation has a dramatic effect on the pattern format…
Distributions of Distances and Volumes of Balls in Homogeneous Lens Spaces
Brenden Balch, Chris Peterson, Clayton Shonkwiler
Lens spaces are a family of manifolds that have been a source of many interesting phenomena in topology and differential geometry. Their concrete construction, as quotients of odd-…
Expected Distances on Manifolds of Partially Oriented Flags
Brenden Balch, Chris Peterson, Clayton Shonkwiler
Flag manifolds are generalizations of projective spaces and other Grassmannians: they parametrize flags, which are nested sequences of subspaces in a given vector space. These are…