FK Ising模型的连接概率和RSW型界
Connection probabilities and RSW-type bounds for the FK Ising model
摘要：
我们证明了Russo-Seymour-Welsh型的交叉概率的一致边界的FK伊辛模型在临界状态，独立的边界条件。我们的证明主要依赖于Smirnov的费米子观测的FK伊辛模型，这使我们能够得到精确的估计边界连接的概率。它仍然是纯离散的，特别是我们不使用任何连续极限，它可以用来直接推导出几个值得注意的结果-一些新的和一些不-其中的事实，即没有自发磁化临界，紧密性的接口，并存在几个临界指数，特别是半平面单臂指数。
英文摘要：
We prove Russo-Seymour-Welsh-type uniform bounds on crossing probabilities for the FK Ising model at criticality, independent of the boundary conditions. Our proof relies mainly on Smirnov's fermionic observable for the FK Ising model, which allows us to get precise estimates on boundary connection probabilities. It remains purely discrete, in particular we do not make use of any continuum limit, and it can be used to derive directly several noteworthy results - some new and some not - among which the fact that there is no spontaneous magnetization at criticality, tightness properties for the interfaces, and the existence of several critical exponents, in particular the half-plane one-arm exponent.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
