Dominos and the Gaussian free field

• 成果类型: Article
• 署名作者: Kenyon, R
• 署名单位: Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Saclay
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1015345599
• 发表日期: 2001
• 页码: 1128-1137
• 关键词: spanning-trees; SCALING LIMITS

摘要

We define a scaling limit of the height function on the domino tiling model (dimer model) on simply connected regions in Z(2) and show that it is the massless free field, a Gaussian process with independent coefficients when expanded in the eigenbasis of the Laplacian.