OAI/Probability/InvariantIsing/Cavity/CavityRootedSpinTestTransport.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

The common-depth spin observable survives the full rooted quadratic innovation change, including the disorder and all replica normalizations.

  1. def OAI.InvariantIsing.cavityRootedSpinDepthTest line 15
  2. lemma OAI.InvariantIsing.measurable_cavityRootedSpinDepthTest line 20
  3. lemma OAI.InvariantIsing.cavityRootedSpinDepthTest_innovation line 32
  4. lemma OAI.InvariantIsing.cavityRootedFullGibbs_root_ae line 43
  5. lemma OAI.InvariantIsing.cavity_rooted_replicas_same_root line 55
  6. theorem OAI.InvariantIsing.cavity_rooted_spin_depth_test_transport line 75