OAI/NumberTheory/TwoPoint/Walks/TupleOccurrences.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Identify the singleton count and reciprocal weight of actual tuple slots.

  1. lemma OAI.TwoPointCorrelations.tupleSlotLabel_occurrences line 13
  2. lemma OAI.TwoPointCorrelations.tupleSlotLabel_singletons line 30
  3. lemma OAI.TwoPointCorrelations.tupleSlotLabel_image line 36
  4. lemma OAI.TwoPointCorrelations.tupleSlotLabel_reciprocal line 52

    Source documentation

    The baseline from singleton integration is exactly the columnwise weight used in the universal pattern and padding sum.

    lemma tupleSlotLabel_reciprocal {J R : ℕ} {P : Fin J → Finset ℕ}
        (w : ColumnPrimeAssignment J R P) :
        (∏ c ∈ univ.image (tupleSlotLabel w), (c.2.val : ℝ)⁻¹) = columnReciprocalWeight w := by
    …

    Mentions: OAI.TwoPointCorrelations.ColumnPrimeAssignment, OAI.TwoPointCorrelations.tupleSlotLabel, OAI.TwoPointCorrelations.columnReciprocalWeight