Pattern Equivariant Mass Transport in Aperiodic Tilings and Cohomology

Michael Kelly, Lorenzo Sadun

Suppose that we have a repetitive and aperiodic tiling $\mathbf{T}$ of ${\mathbb{R}}^n$, and two mass distributions $f_1$ and $f_2$ on ${\mathbb{R}}^n$, each pattern equivariant with respec…