Incipient infinite cluster in 2D Ising percolation
Probability
2013-07-30 v1
Abstract
We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at or near critical external fields. The incipient infinite cluster (IIC) measure in the sense of Kesten is constructed. As a consequence, we can obtain some geometric properties of IIC. The result holds also for the triangular lattice.
Keywords
Cite
@article{arxiv.1307.7222,
title = {Incipient infinite cluster in 2D Ising percolation},
author = {Yasunari Higuchi and Kazunari Kinoshita and Masato Takei and Yu Zhang},
journal= {arXiv preprint arXiv:1307.7222},
year = {2013}
}
Comments
8 pages