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Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations (1010.1586v1)
Published 8 Oct 2010 in math.PR
Abstract: We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at/near critical external fields. We show that all scaling relations, except a single hyperscaling relation, hold under the power law assumptions for the one-arm path and four-arm paths.
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