OAI/Probability/InvariantIsing/Magnetic/MagneticFieldSymmetry.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Spin-flip symmetry of the actual bias optimization and recovery of the zero-magnetization scalar field functional.

  1. lemma OAI.InvariantIsing.fieldValue_bias_even line 15
  2. lemma OAI.InvariantIsing.fieldBiasMean_zero line 26
  3. lemma OAI.InvariantIsing.magneticBias_zero line 37
  4. lemma OAI.InvariantIsing.constrainedFieldValue_zero_magnetization line 41
  5. lemma OAI.InvariantIsing.magneticBiasObjective_reflect line 46
  6. lemma OAI.InvariantIsing.constrainedFieldValue_even line 52
  7. lemma OAI.InvariantIsing.magneticBias_odd line 65