OAI/Probability/InvariantIsing/Gaussian/GaussianPatternRotation.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Finite-dimensional Gaussian orthogonal invariance and invariance of the ordered Wishart eigenvalues, including repeated zero eigenvalues.

  1. def OAI.InvariantIsing.gaussianPatternEigenvalues line 12
  2. lemma OAI.InvariantIsing.gaussianPatternArray_rotation line 15
  3. lemma OAI.InvariantIsing.gaussianPatternCoupling_rotation line 22
  4. lemma OAI.InvariantIsing.gaussianPatternEigenvalues_rotation line 30
  5. lemma OAI.InvariantIsing.gaussianPattern_rotate_hasLaw line 41