Local limits of lozenge tilings are stable under bounded boundary height perturbations
成果类型：
Article
署名作者：
Laslier, Benoit
署名单位：
Universite Paris Cite
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-018-0853-x
发表日期：
2019
页码：
1243-1264
关键词：
摘要：
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.