OAI/GroupTheory/PolycyclicRecognition/Geometry/OrderedInterpolationWeights.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Stability of ordered interpolation under changes of mass
- def
OAI.PolycyclicRecognition.InterpolationWeightControlline 11 - theorem
OAI.PolycyclicRecognition.exists_interpolation_weight_controlline 22Source documentation
On lists of bounded length and bounded image diameter, ordered interpolation is uniformly Lipschitz on probability weights. The stronger weighted estimate also covers vanishing tail masses in the recursion.
theorem exists_interpolation_weight_control (c : ControlledContraction G) {D : ℝ} (hD : 0 ≤ D) (n : ℕ) : ∃ K : ℝ, 0 ≤ K ∧ InterpolationWeightControl (I := I) c D n K := by …Mentions: OAI.PolycyclicRecognition.ControlledContraction, OAI.PolycyclicRecognition.InterpolationWeightControl