OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanProfileConcentration.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Affine-class concentration for the actual Cartan profiles
- theorem
OAI.PolycyclicRecognition.CartanWordModel.cartan_profile_affine_distance_tendsto_zeroline 32 - theorem
OAI.PolycyclicRecognition.CartanWordModel.cartan_profile_independent_suffix_concentrationline 140Source 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