OAI/Probability/InvariantIsing/Gaussian/MarchenkoPasturTransform.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The unique nonnegative solution of the real Marchenko--Pastur transform equation.

  1. def OAI.InvariantIsing.marchenkoPasturTransform line 9
  2. def OAI.InvariantIsing.marchenkoPasturResidual line 12
  3. lemma OAI.InvariantIsing.marchenkoPasturTransform_pos line 14
  4. lemma OAI.InvariantIsing.marchenkoPasturTransform_polynomial line 20
  5. lemma OAI.InvariantIsing.marchenkoPasturTransform_equation line 28
  6. lemma OAI.InvariantIsing.nonnegative_fraction_mono line 38
  7. lemma OAI.InvariantIsing.nonnegative_fraction_lipschitz line 43
  8. lemma OAI.InvariantIsing.marchenkoPasturTransform_error line 52
  9. lemma OAI.InvariantIsing.marchenkoPasturResidual_coefficient line 76