For diluted even-arity Ising models in the Panchenko–Talagrand class, finite-system pressure converges to the infimum of the hierarchical cavity trial functional over every finite hierarchy depth and trial law.
For diluted even-arity Ising models in the Panchenko–Talagrand class, finite-system pressure converges to the infimum of the hierarchical cavity trial functional over every finite hierarchy depth and trial law.
For diluted even-arity Ising models in the Panchenko–Talagrand class, finite-system pressure converges to the infimum of the hierarchical cavity trial functional over every finite hierarchy depth and trial law.
If correct, proves the Mézard–Parisi variational equality for the stated diluted Ising model class.
Does the hierarchical cavity trial formula equal the limiting pressure of diluted even-arity Ising models?
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OpenAI reports the Mézard–Parisi formula for diluted spin glasses
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