CROSSING PROBABILITIES OF MULTIPLE ISING INTERFACES

• 成果类型: Article
• 署名作者: Peltola, Eveliina; Wu, Hao
• 署名单位: Aalto University; Tsinghua University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/22-AAP1888
• 发表日期: 2023
• 页码: 3169-3206
• 关键词: partial-differential-equations; erased random-walks; conformal-invariance; SCALING LIMITS; critical percolation; solution space; sle; observables; uniqueness; SYSTEM

摘要

We prove that in the scaling limit, the crossing probabilities of multiple interfaces in the critical planar Ising model with alternating boundary condi-tions are conformally invariant expressions given by the pure partition func-tions of multiple SLE & kappa; with & kappa; = 3. In particular, this identifies the scaling limits with ratios of specific correlation functions of conformal field theory.