OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanIndependentBoxConcentration.lean

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Concentration along actual finite Cartan generator chains

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.cartan_independent_box_increment_concentration line 39

    Source documentation

    Actual box-increment concentration survives arbitrary independent probe distributions. Generator selections are only made for deterministic probe sequences, so no measurable choice of intermediate chains is required.

    theorem cartan_independent_box_increment_concentration
        [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))]
        [Nonempty (Fin M.letterCount)]
        {K : Type*} [MeasurableSpace K] [Nonempty K]
        (hExp : IsGroupExponential Exp)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

    Mentions: OAI.PolycyclicRecognition.cartanRootIdeal, OAI.PolycyclicRecognition.ExponentialLinearRealizationInput