OAI/Probability/InvariantIsing/Fields/FieldSpinTransition.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

The scalar physical-spin transition and its bounded martingale properties, including degenerate covariance increments.

  1. def OAI.InvariantIsing.fieldSpinTransition line 15
  2. lemma OAI.InvariantIsing.fieldSpinTransition_zero_variance line 18
  3. lemma OAI.InvariantIsing.fieldSpinTransition_eq_standard line 24
  4. lemma OAI.InvariantIsing.measurable_fieldSpinTransition line 40
  5. lemma OAI.InvariantIsing.fieldSpinTransition_bound line 58
  6. lemma OAI.InvariantIsing.fieldSpinTransition_square_le line 71
  7. lemma OAI.InvariantIsing.fieldSpinTransition_odd line 88
  8. lemma OAI.InvariantIsing.fieldSpinTransition_nonneg line 111
  9. lemma OAI.InvariantIsing.fieldSpinTransition_monotone line 128
  10. lemma OAI.InvariantIsing.fieldSpinTransition_mono_test line 144