OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanActualChainConcentration.lean
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Concentration of the actual sampled Cartan profiles
- theorem
OAI.PolycyclicRecognition.CartanWordModel.cartan_actual_chain_concentrationline 37Source 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