OAI/GroupTheory/PolycyclicRecognition/Geometry/OrderedInterpolationWeights.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Stability of ordered interpolation under changes of mass

  1. def OAI.PolycyclicRecognition.InterpolationWeightControl line 11
  2. theorem OAI.PolycyclicRecognition.exists_interpolation_weight_control line 22

    Source 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