The Mézard–Parisi formula for diluted spin glasses
What the paper claims, in its own words
Proves the Mézard–Parisi hierarchical cavity formula for Poisson-diluted even-arity Ising models satisfying the Panchenko–Talagrand factorization and positivity assumptions, with only first-moment integrability. The limiting free energy equals the infimum over finite-depth hierarchical trial laws. This includes the Viana–Bray model, symmetric diluted even-spin models, and weighted soft even-K satisfiability.
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The original paper
- The Mézard–Parisi formula for diluted spin glasses (PDF, opens in a new tab) September 23, 2026