OAI/Probability/SKBarriers/SpinGlass/FiniteScalarGap.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.SK.Analytic.quantileFirstMoment line 15
2. def OAI.SK.Analytic.quantileSecondMoment line 18
3. theorem OAI.SK.Analytic.quantileFirstMoment_nonneg line 21
4. theorem OAI.SK.Analytic.quantileSecondMoment_nonneg line 25
5. theorem OAI.SK.Analytic.quantileFirstMoment_sq_le line 29
6. theorem OAI.SK.Analytic.scalarHierarchy_zero_variance line 48
7. theorem OAI.SK.Analytic.extendedQuantileParisi_zero line 56
8. theorem OAI.SK.Analytic.quantileSecondMoment_of_gap line 65
9. theorem OAI.SK.Analytic.extendedQuantileParisi_temperature_rescale line 84
10. theorem OAI.SK.Analytic.rescaledQuantiles_admissible line 108