OAI/Probability/InvariantIsing/Cavity/CavitySphereAverage.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Angular averaging for the moments of fresh Haar frame coordinates.

  1. lemma OAI.InvariantIsing.cavity_matrixRotation_mul_apply line 14
  2. lemma OAI.InvariantIsing.cavity_unit_vector_transitive line 22
  3. lemma OAI.InvariantIsing.continuous_cavityRotationAction line 34
  4. lemma OAI.InvariantIsing.cavity_sphere_average_independent line 42
  5. theorem OAI.InvariantIsing.cavity_sphere_radial_average line 53