OAI/Probability/InvariantIsing/Cavity/CavityWindowGram.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Gaussian Gram matrices compressed to a growing spectral coordinate window. Prefix differences avoid introducing a second Gaussian array.

  1. def OAI.InvariantIsing.cavityPrefixGram line 14
  2. lemma OAI.InvariantIsing.continuous_cavityPrefixGram line 18
  3. lemma OAI.InvariantIsing.cavityPrefixGram_apply line 22
  4. lemma OAI.InvariantIsing.cavityPrefixGram_mul line 32
  5. lemma OAI.InvariantIsing.cavityPrefixGram_gaussian line 37
  6. lemma OAI.InvariantIsing.cavityPrefixGram_normalized line 63
  7. theorem OAI.InvariantIsing.cavityPrefixGram_tendsto line 73
  8. lemma OAI.InvariantIsing.cavityPrefixGram_zero line 91
  9. def OAI.InvariantIsing.cavityWindowGram line 97
  10. lemma OAI.InvariantIsing.continuous_cavityWindowGram line 100
  11. lemma OAI.InvariantIsing.cavityWindowGram_posSemidef line 104
  12. lemma OAI.InvariantIsing.cavityPrefixGram_full line 125
  13. lemma OAI.InvariantIsing.cavityWindowGram_partition line 132
  14. theorem OAI.InvariantIsing.cavityWindowGram_tendsto_ae line 139