Incipient infinite cluster in 2D Ising percolation
classification
🧮 math.PR
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clusterincipientinfiniteisinglatticepercolationconsequenceconsider
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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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