Proves that the blue subgraph in the CMR representation of the short-range Edwards-Anderson model has at most two infinite clusters, which must lie in one grey cluster with opposite overlap parity if both are infinite.
Friedli and Yvan Velenik.Statistical Mechanics of Lattice Systems: A Concrete Mathemat- ical Introduction
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At Most Two Infinite Blue Clusters in the CMR Representation of the Edwards-Anderson Spin Glass
Proves that the blue subgraph in the CMR representation of the short-range Edwards-Anderson model has at most two infinite clusters, which must lie in one grey cluster with opposite overlap parity if both are infinite.