English

Laplacians on lattices

High Energy Physics - Theory 2015-06-26 v1 Soft Condensed Matter High Energy Physics - Lattice Pattern Formation and Solitons Exactly Solvable and Integrable Systems

Abstract

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

Cite

@article{arxiv.hep-th/0412117,
  title  = {Laplacians on lattices},
  author = {Wojtek Zakrzewski},
  journal= {arXiv preprint arXiv:hep-th/0412117},
  year   = {2015}
}

Comments

11 pages including pictures

R2 v1 2026-07-22T15:27:33.387Z