OAI/NumberTheory/TwoPoint/Walks/ClosedWordPadding.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Separate the actual closed matrix word into centered factors and its retained padding weight.

  1. def OAI.TwoPointCorrelations.retainedEdgeDeparture line 12
  2. lemma OAI.TwoPointCorrelations.retainedEdgeDeparture_nonneg line 20
  3. lemma OAI.TwoPointCorrelations.retainedEdgeDeparture_le_atom line 30
  4. theorem OAI.TwoPointCorrelations.closed_signed_word_factorization line 44
  5. lemma OAI.TwoPointCorrelations.scalarWalkProduct_nonneg line 62
  6. lemma OAI.TwoPointCorrelations.scalarWalkProduct_mono line 69
  7. theorem OAI.TwoPointCorrelations.closed_word_padding_majorant line 79
  8. theorem OAI.TwoPointCorrelations.scalarWalkProduct_ofFn line 89