Isoperimetric planar clusters with infinitely many regions

Matteo Novaga, Emanuele Paolini, Eugene Stepanov +1

An infinite cluster $\mathbf{E}$ in ${\mathbb{R}}^d$ is a sequence of disjoint measurable sets $E_k\subset {\mathbb{R}}^d$, $k\in \mathbb{N}$, called regions of the cluster. Given the volu…