OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanProfileConcentration.lean

GitHub source file

2 declarations, 0 contain sorry, 0 declared as axioms

Affine-class concentration for the actual Cartan profiles

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.cartan_profile_affine_distance_tendsto_zero line 32
  2. theorem OAI.PolycyclicRecognition.CartanWordModel.cartan_profile_independent_suffix_concentration line 140

    Source documentation

    The same concentration bound holds for arbitrary independent random suffixes under one common subexponential envelope.

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

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