INTERFACIAL ENERGIES ON PENROSE LATTICES
Andrea Braides, Margherita Solci · Mathematical Models and Methods in Applied Sciences · 2011
In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-periodic Penrose tiling in ℝ2. A general result on the homogenization of surface energies cannot be directly adapted to this case; the existence of the limit interfacial energy is therefore proved by showing some refined "quasi-periodic" properties of the tilings.