某些键 - 三角型模型的共形不变性
摘要
遵循 [18] 中概述的方法，确立了 [7] 中研究的相关键 - 三角型模型的探索过程收敛于 SLE6。这使得所述模型与三角格点上的标准站点渗流模型 [19] 处于同一普适类中。该结果对所有边界（上）闵可夫斯基维数小于二的域均得证。此外，在可以确立 Cardy 公式的前提下，该收敛性证明适用于临界二维渗流模型的一般背景。
引用
@article{arxiv.0710.3446,
title = {Conformal Invariance for Certain Models of the Bond-Triangular Type},
author = {I. Binder and L. Chayes and H. K. Lei},
journal= {arXiv preprint arXiv:0710.3446},
year = {2010}
}
评论
This paper has been withdrawn as its contents - with the exception of the Appendix on uniform continuity of crossing probabilities - will be replaced by upcoming submissions "On Convergence to SLE_6 I: Conformal Invariance for Certain Models of the Bond-Triangular Type" and "Convergence to SLE_6 II: Discrete Approximations and Extraction of Cardy's Formula for General Domains". The purposed served by the Appendix in proving convergence to SLE_6 in this withdrawn version will be served by the second paper, which instead establishes a sufficiently robust convergence to Cardy's Formula.