OAI/Probability/DilutedSpin/NormalizationSymmetry.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.DilutedSpinGlass.centeredInteraction line 10
2. def OAI.DilutedSpinGlass.normalizedFactor line 13
3. lemma OAI.DilutedSpinGlass.measurable_centeredInteraction line 16
4. lemma OAI.DilutedSpinGlass.measurable_normalizedFactor line 19
5. lemma OAI.DilutedSpinGlass.centeredInteraction_factorization line 23
6. lemma OAI.DilutedSpinGlass.normalizedFactor_permutation line 35
7. theorem OAI.DilutedSpinGlass.centeredInteraction_permutation line 49

   Source documentation

   Exact symmetry of the centered physical interaction, derived from the original factorization, iid coordinates and independent b. The multiplier a need not be independent of anything, nor need log a be integrable.

   theorem centeredInteraction_permutation {p : ℕ} (M : Model p) (hM : Admissible M)
       (e : Equiv.Perm (Fin p)) :
       IdentDistrib (centeredInteraction (p := p))
   …

   Mentions: OAI.DilutedSpinGlass.Model, OAI.DilutedSpinGlass.Admissible, OAI.DilutedSpinGlass.centeredInteraction

8. lemma OAI.DilutedSpinGlass.centeredInteraction_norm_le line 69
9. lemma OAI.DilutedSpinGlass.centeredInteraction_integrable line 75