Proves long-range order and characterizes maximal-pressure Gibbs states for symmetric discrete spin systems above an explicit dimension threshold, with new applications to Potts, hard-core, Widom-Rowlinson, beach, and height-function models plus a high-d limit formula for topological pressure.
3, 1351–1447
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Long-range order in discrete spin systems
Proves long-range order and characterizes maximal-pressure Gibbs states for symmetric discrete spin systems above an explicit dimension threshold, with new applications to Potts, hard-core, Widom-Rowlinson, beach, and height-function models plus a high-d limit formula for topological pressure.