OAI/Probability/InvariantIsing/Haar/HaarKernelGeometry.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

The averaging kernel peaks exactly at coincident orthogonal matrices.

  1. lemma OAI.InvariantIsing.specialOrthogonal_sum_sq line 12
  2. lemma OAI.InvariantIsing.haarKernelBase_dist line 20
  3. lemma OAI.InvariantIsing.haarKernelBase_nonneg line 38
  4. lemma OAI.InvariantIsing.haarKernelBase_le line 50
  5. lemma OAI.InvariantIsing.haarKernelBase_self line 55
  6. lemma OAI.InvariantIsing.haarKernelBase_mul_left line 62
  7. lemma OAI.InvariantIsing.haarKernelBase_mul_right line 77