For the critical GFF level set and loop soup on Z^d with d != 6, four IIC definitions coincide, and the conditioned cluster volume in B(M) is of order M^{min(d/2+1, 4)}.
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Incipient infinite clusters and volume growth for Gaussian free fields and loop soups on metric graphs
For the critical GFF level set and loop soup on Z^d with d != 6, four IIC definitions coincide, and the conditioned cluster volume in B(M) is of order M^{min(d/2+1, 4)}.