OAI/Probability/InvariantIsing/Magnetic/MagneticFieldInverseConvex.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

The actual finite conditional overlap is convex in prescribed mean spin. The ordinary root Gaussian is included in this identification.

  1. lemma OAI.InvariantIsing.scalarFieldIncrements_exponent_le_one line 15
  2. lemma OAI.InvariantIsing.magneticScalarSlabBias_root line 23
  3. lemma OAI.InvariantIsing.magneticFieldLevel_eq_slab line 34
  4. theorem OAI.InvariantIsing.magneticFieldLevel_second_deriv_nonneg line 47
  5. theorem OAI.InvariantIsing.magneticFieldLevel_convexOn_spin line 55