OAI/Probability/InvariantIsing/Cavity/CavityProjectorHamiltonian.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The actual base Gibbs law expressed using its labeled projectors. This makes the law a measurable function of the data in the joint projector/frame Haar factorization.

  1. def OAI.InvariantIsing.cavityProjectorEnergy line 15
  2. lemma OAI.InvariantIsing.cavitySpectralProjector_form line 20
  3. lemma OAI.InvariantIsing.cavityProjectorEnergy_group line 28
  4. def OAI.InvariantIsing.cavityProjectorHamiltonian line 41
  5. lemma OAI.InvariantIsing.cavityProjectorHamiltonian_energy line 46
  6. theorem OAI.InvariantIsing.cavity_projector_gibbs_replica line 57