OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanIndependentBoxConcentration.lean
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Concentration along actual finite Cartan generator chains
- theorem
OAI.PolycyclicRecognition.CartanWordModel.cartan_independent_box_increment_concentrationline 39Source documentation
Actual box-increment concentration survives arbitrary independent probe distributions. Generator selections are only made for deterministic probe sequences, so no measurable choice of intermediate chains is required.
theorem cartan_independent_box_increment_concentration [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))] [Nonempty (Fin M.letterCount)] {K : Type*} [MeasurableSpace K] [Nonempty K] (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.cartanRootIdeal, OAI.PolycyclicRecognition.ExponentialLinearRealizationInput