Parker Duncan

collaborators

2 papers

math.MG2021

Discrete $ℓ^{1}$ Double Bubble solution is at most ceiling +2 of the continuous solution

Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia

In this paper we show that the solution of the discrete Double Bubble problem over $Z^{2}$ is at most the ceiling function plus two of the continuous solution to the Double…

math.GT2020

An elementary proof for the Double Bubble problem in $ℓ^{1}$ norm

Parker Duncan, Rory O'Dwyer, Eviatar B. Procaccia

We study the double bubble problem with perimeter taken with respect to the $ℓ_{1}$ norm on $R^{2}$ . We give an elementary proof for the existence of minimizing sets for an…

Discrete ℓ1 Double Bubble solution is at most ceiling +2 of the continuous solution

An elementary proof for the Double Bubble problem in ℓ1 norm

Discrete $ℓ^{1}$ Double Bubble solution is at most ceiling +2 of the continuous solution

An elementary proof for the Double Bubble problem in $ℓ^{1}$ norm