OAI/Probability/InvariantIsing/Cavity/CavityDeficitGap.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

On a gap in the finite overlap support, the deficit is affine with slope equal to minus the mass below the gap. Endpoints may be atoms.

  1. lemma OAI.InvariantIsing.deficit_antitone_argument line 14
  2. lemma OAI.InvariantIsing.deficit_lower_of_ae_le line 21
  3. lemma OAI.InvariantIsing.deficit_constant_below_ae_lower line 32
  4. theorem OAI.InvariantIsing.deficit_affine_on_gap line 40
  5. theorem OAI.InvariantIsing.hasDerivAt_deficit_on_gap line 65