OAI/Probability/InvariantIsing/Cavity/CavityTailIntegral.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Tail probabilities as measurable disorder averages and as the one-coordinate marginal of the physical two-replica Gibbs test.

  1. lemma OAI.InvariantIsing.cavity_random_tilted_tail_integrable line 17
  2. lemma OAI.InvariantIsing.cavity_random_tilted_tail_antitone line 38
  3. lemma OAI.InvariantIsing.cavity_reference_replica_tail line 53
  4. theorem OAI.InvariantIsing.cavity_full_tail_integral line 67
  5. theorem OAI.InvariantIsing.cavity_full_gibbs_special_tightness line 93