Local limits of lozenge tilings are stable under bounded boundary height perturbations
Probability
2017-09-06 v1
Abstract
We show that bounded changes to the boundary of a lozenge tilings do not affect the local behaviour inside the domain. As a consequence we prove the existence of a local limit in all domains with planar boundary. The proof does not rely on any exact solvability of the model beyond its links with uniform spanning trees.
Keywords
Cite
@article{arxiv.1709.01370,
title = {Local limits of lozenge tilings are stable under bounded boundary height perturbations},
author = {Benoit Laslier},
journal= {arXiv preprint arXiv:1709.01370},
year = {2017}
}
Comments
16 pages, 2 figures