Alternating Arm Exponents for the Critical Planar Ising Model

2016/05/03 by Hao Wu, Wu, Hao · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR

paper · pdf · doi:10.48550/arxiv.1605.00985

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

openalex publication_date 2016/05/03 · arxiv created 2016/08/29 · arxiv updated 2016/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive the alternating arm exponents of critical Ising model. We obtain six different patterns of alternating boundary arm exponents which correspond to the boundary conditions (\ominus⊕), (\ominusfree) and (freefree), and the alternating interior arm exponents.

Citations

• Crossing probabilities in topological rectangles for the critical planar FK-Ising model

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