Laplacians on lattices

Abstract

We consider some lattices and look at discrete Laplacians on these lattices. In particular we look at solutions of the equation $△(1)\varphi =△(2)Z$ where $△(1)$ and $△(2)$ are two such laplacians on the same lattice. We discuss solutions of this equation in some special cases.

11 pages including pictures

Cited by in corpus (2)

• Atomistic simulations of structural and thermodynamic properties of bilayer graphene
• High-frequency homogenisation for hexagonal and honeycomb lattices