OAI/Probability/InvariantIsing/Cavity/CavityGroupBlockGaussian.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Gaussian marking of the physical spectral-group block. The variance is the projected overlap divided by the group proportion.

  1. def OAI.InvariantIsing.cavityGroupBlockCovariance line 16
  2. lemma OAI.InvariantIsing.continuous_cavityGroupBlockCovariance line 21
  3. lemma OAI.InvariantIsing.cavityGroupBlockCovariance_posSemidef line 26
  4. lemma OAI.InvariantIsing.cavity_cascade_group_covariance_posSemidef line 31
  5. theorem OAI.InvariantIsing.cavity_canonical_marked_group_block_tendsto line 56