2 papers
math.CA2023
A Family of Universally Optimal Configurations on Rectangular Flat Tori
Nathaniel Tenpas
We utilize recently introduced linear programming bounds for the energy of periodic configurations in to construct configurations which are universally optimal among…
math.CA2023
Universally Optimal Periodic Configurations in the Plane
Doug Hardin, Nathaniel Tenpas
We develop lower bounds for the energy of configurations in periodic with respect to a lattice. In certain cases, the construction of sharp bounds can be formulated…