85 citations · 285 across the 40 of their papers we have counts for
6 papers · 1 filter
Dynamics and stationary configurations of heterogeneous foams
Dong Wang, Andrej Cherkaev, Braxton Osting
We consider the variational foam model, where the goal is to minimize the total surface area of a collection of bubbles subject to the constraint that the volume of each bubble is…
Diffusion generated methods for denoising target-valued images
Braxton Osting, Dong Wang
We consider the inverse problem of denoising an image where each point (pixel) is an element of a target set, which we refer to as a target-valued image. The target sets considered…
A maximal energy pointset configuration problem
Braxton Osting, Brian Simanek
We consider the extremal pointset configuration problem of maximizing a kernel-based energy subject to the geometric constraints that the points are contained in a fixed set, the p…
Extremal Spectral Gaps for Periodic Schrödinger Operators
Chiu-Yen Kao, Braxton Osting
The spectrum of a Schrödinger operator with periodic potential generally consists of bands and gaps. In this paper, for fixed m, we consider the problem of maximizing the gap-to-mi…
A diffusion generated method for computing Dirichlet partitions
Dong Wang, Braxton Osting
A Dirichlet -partition of a closed -dimensional surface is a collection of pairwise disjoint open subsets such that the sum of their first Laplace-Beltrami-Dirichlet eige…
Spectral band degeneracies of rotationally invariant periodic Schrödinger operators
Rachael T. Keller, Jeremy L. Marzuola, Braxton Osting +1
The dynamics of waves in periodic media is determined by the band structure of the underlying periodic Hamiltonian. Symmetries of the Hamiltonian can give rise to novel properties…