OAI/Probability/InvariantIsing/Cavity/CavityCoefficientMean.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Replacement of random cavity blocks in bounded replica moments. Concentration of the blocks is combined with a uniform second-moment bound, without requiring a deterministic uniform bound on the marks.

  1. def OAI.InvariantIsing.cavityCappedReplicaProduct line 15
  2. lemma OAI.InvariantIsing.cavityCappedReplicaProduct_nonneg line 19
  3. lemma OAI.InvariantIsing.cavityCappedReplicaProduct_le line 24
  4. lemma OAI.InvariantIsing.measurable_cavityCappedReplicaProduct line 31
  5. theorem OAI.InvariantIsing.cavity_capped_coefficient_mean_error line 44