OAI/NumberTheory/DukePrimeDegree/Entropy/RootPrefixAmbientFuture.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Matching box future conditionals with ambient root-orbit measures
- lemma
OAI.DukePrimeDegree.normalized_restriction_map_equivline 13 - lemma
OAI.DukePrimeDegree.RootPrefixBox.map_uncentered_future_eq_ambientline 32Source 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