中文

临界平面伊辛模型的交替臂指数

概率论 2016-08-30 v4

摘要

我们推导了临界伊辛模型的交替臂指数。我们得到了六种不同的交替边界臂指数模式,分别对应于边界条件()(\ominus\oplus)(free)(\ominus\text{free})(freefree)(\text{free}\text{free}),以及交替内部臂指数。

关键词

引用

@article{arxiv.1605.00985,
  title  = {Alternating Arm Exponents for the Critical Planar Ising Model},
  author = {Hao Wu},
  journal= {arXiv preprint arXiv:1605.00985},
  year   = {2016}
}

备注

36 pages and 7 figures. We add a remark on Cardy's formula of critical Ising in rectangles with free boundary condition in v2. In v4, we add an appendix on one-point estimate of the intersection of SLE with the boundary, which provides a complete proof of Lemma 2.5. arXiv admin note: substantial text overlap with arXiv:1604.06639