OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanOccupationInvariance.lean

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Invariance of weak limits of the actual interior Cartan chart laws

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.cartan_occupation_limit_invariant line 33

    Source documentation

    The actual independently sampled chart laws have invariant weak limits. Both factor errors come from the proved Cartan slack and density estimates; the final extension to the ambient group uses its surjective factor map.

    theorem cartan_occupation_limit_invariant
    [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))]
    (hExpG : IsGroupExponential ExpG)
    (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
…

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