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Incipient infinite cluster in 2D Ising percolation - MaRDI portal

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Incipient infinite cluster in 2D Ising percolation

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Publication:2923166

zbMATH Open1300.60113arXiv1307.7222MaRDI QIDQ2923166

Author name not available (Why is that?)

Publication date: 15 October 2014

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/1307.7222



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