OAI/Probability/InvariantIsing/Gaussian/GaussianGramResolventEquation.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The exact finite-dimensional leave-one-column equation for the physical Gram transform.

  1. def OAI.InvariantIsing.gaussianGramColumnQuadratic line 11
  2. lemma OAI.InvariantIsing.gaussianPatternCoupling_scaled_column_sum line 16
  3. lemma OAI.InvariantIsing.trace_rankOne_mul line 23
  4. lemma OAI.InvariantIsing.gaussianGramColumnQuadratic_nonneg line 27
  5. lemma OAI.InvariantIsing.gaussianGramResolvent_column_trace line 33
  6. theorem OAI.InvariantIsing.gaussianGramStieltjes_column_equation line 42