OAI/Probability/InvariantIsing/Cavity/CavityGaussianProjection.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The exact Gaussian law before orthonormalization. Different fresh axes are independent; replica covariance is the normalized Gram matrix of the projected replica vectors.

  1. def OAI.InvariantIsing.cavityProjectionMatrix line 15
  2. lemma OAI.InvariantIsing.cavityProjectionMatrix_covariance line 19
  3. def OAI.InvariantIsing.cavityRawProjection line 45
  4. lemma OAI.InvariantIsing.cavityRawProjection_apply line 50
  5. theorem OAI.InvariantIsing.cavityRawProjection_hasLaw line 62