Alternating Arm Exponents for the Critical Planar Ising Model
Probability
2016-08-30 v4
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 , and , and the alternating interior arm exponents.
Cite
@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}
}
Comments
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