OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanActualChainConcentration.lean

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Concentration of the actual sampled Cartan profiles

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.cartan_actual_chain_concentration line 37

    Source documentation

    The actual profiles of a Borel logarithmic chain concentrate on its initial profile under the independent probe law. No profile representative or measurability premise is left to the application.

    theorem cartan_actual_chain_concentration
        {K : ℕ → Type*} [∀ n, MeasurableSpace (K n)] [∀ n, Nonempty (K n)]
        [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))]
        (hExp : IsGroupExponential Exp)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

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