OAI/Probability/InvariantIsing/Fields/FieldHeightRegularization.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

A bounded strict-height approximation of an arbitrary finite field. Every variance increment is increased by the same small scalar.

  1. def OAI.InvariantIsing.fieldHeightEpsilon line 15
  2. lemma OAI.InvariantIsing.fieldHeightEpsilon_nonneg line 17
  3. lemma OAI.InvariantIsing.fieldHeightEpsilon_le_one line 19
  4. lemma OAI.InvariantIsing.continuous_fieldHeightEpsilon line 22
  5. lemma OAI.InvariantIsing.fieldHeightEpsilon_eq line 26
  6. def OAI.InvariantIsing.fieldRegularizedHeight line 29
  7. def OAI.InvariantIsing.fieldRegularized line 32
  8. lemma OAI.InvariantIsing.fieldRegularized_increment line 39
  9. lemma OAI.InvariantIsing.fieldRegularized_strict line 51
  10. lemma OAI.InvariantIsing.fieldRegularized_zero line 56
  11. lemma OAI.InvariantIsing.fieldIncrement_le_last line 63
  12. def OAI.InvariantIsing.fieldRegularizedIncrements line 71
  13. lemma OAI.InvariantIsing.fieldRegularizedIncrements_positive line 76
  14. lemma OAI.InvariantIsing.fieldRegularizedIncrements_continuous line 82
  15. lemma OAI.InvariantIsing.fieldRegularizedIncrements_bound line 88
  16. lemma OAI.InvariantIsing.fieldRegularizedIncrements_eval line 94