OAI/Probability/InvariantIsing/Fields/FieldAffineMoments.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

Polynomial integrability under the actual affine-noise law. These bounds remain uniform when the spatial bias changes.

  1. lemma OAI.InvariantIsing.field_integrable_of_quadratic_bound line 14
  2. lemma OAI.InvariantIsing.field_integral_abs_le_quadratic_bound line 21
  3. def OAI.InvariantIsing.FieldSmoothFamily.affineLaw line 36
  4. lemma OAI.InvariantIsing.FieldSmoothFamily.affineLaw_probability line 39
  5. lemma OAI.InvariantIsing.FieldSmoothFamily.affineLaw_quadratic_moment line 46
  6. def OAI.InvariantIsing.FieldSmoothFamily.affineMomentCap line 54
  7. lemma OAI.InvariantIsing.FieldSmoothFamily.affineMomentCap_pos line 57
  8. lemma OAI.InvariantIsing.FieldSmoothFamily.affineLaw_moment_le line 61
  9. lemma OAI.InvariantIsing.FieldSmoothFamily.affineLaw_integral_bound line 68
  10. lemma OAI.InvariantIsing.FieldSmoothFamily.affineLaw_linear_integrable line 75
  11. lemma OAI.InvariantIsing.FieldSmoothFamily.affineLaw_bounded_integrable line 82