OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanBoxIncrementConcentration.lean

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Concentration along actual finite Cartan generator chains

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.cartan_box_increment_concentration line 38

    Source documentation

    Every bounded box increment supported strictly inside the height domain preserves the starting sheet profile in probability. Generation, prefix bounds, compactness, and measurable profile construction are proved here.

    theorem cartan_box_increment_concentration
        [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))]
        [Nonempty (Fin M.letterCount)]
        (hExp : IsGroupExponential Exp)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

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