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arXiv · 1307.7222

Incipient infinite cluster in 2D Ising percolation

Yasunari Higuchi·Kazunari Kinoshita·Masato Takei·Yu Zhang
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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.

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Yasunari Higuchi, Kazunari Kinoshita, Masato Takei, Yu Zhang. 2013-07-27. Incipient infinite cluster in 2D Ising percolation. https://arxiv.org/abs/1307.7222

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