OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanBoxIncrementConcentration.lean
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Concentration along actual finite Cartan generator chains
- theorem
OAI.PolycyclicRecognition.CartanWordModel.cartan_box_increment_concentrationline 38Source documentation
Every bounded box increment supported strictly inside the height domain preserves the starting sheet profile in probability. Generation, prefix bounds, compactness, and measurable profile construction are proved here.
theorem cartan_box_increment_concentration [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))] [Nonempty (Fin M.letterCount)] (hExp : IsGroupExponential Exp) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.cartanRootIdeal, OAI.PolycyclicRecognition.ExponentialLinearRealizationInput