OAI/NumberTheory/DukePrimeDegree/Entropy/RootPrefixAmbientFuture.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

Matching box future conditionals with ambient root-orbit measures

  1. lemma OAI.DukePrimeDegree.normalized_restriction_map_equiv line 13
  2. lemma OAI.DukePrimeDegree.RootPrefixBox.map_uncentered_future_eq_ambient line 32

    Source documentation

    The box expression, once unrestricted, is exactly the intrinsic whole-future measure pushed along the actual root orbit through its sample.

    lemma map_uncentered_future_eq_ambient
        (B : RootPrefixBox C c hP₀ hf g)
        (μ : Measure (X (d+1))) [IsFiniteMeasure μ]
        (ell : Fin (d+1) → ℝ) (hell : ∑ k, ell k=0) (Q : X (d+1) → ℕ)
        (m : ℕ) (z : (UpperRootTransverse (d+1) × V) × c.Time) :
        let T := fun x => rightAction x (diagonalOneParameter ell hell (-1))
    …

    Mentions: OAI.DukePrimeDegree.RootPrefixBox, OAI.DukePrimeDegree.UpperRootTransverse