Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 221-01. The Mézard–Parisi formula for diluted spin glasses
Manuscript map · lines 6515–6524
OpenAI@2026-10-07#rem:oai-p-221-01
Authors: OpenAI. Family 221.
Title: The Mézard–Parisi formula for diluted spin glasses.
Abstract: We prove the Mézard–Parisi hierarchical cavity formula for diluted even-arity Ising models in the Panchenko–Talagrand class. This resolves the variational equality conjecture for that class: the limiting pressure equals the infimum of the trial functional over all finite hierarchy depths and trial laws. Only first moments of the interaction and external field are required.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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