OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanStationaryPaths.lean

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Stationary good paths to actual rescaled endpoints

Independent normalized coordinate volume and continuous endpoint coding instantiate the stationary sampling theorem. A single normalized pair is therefore good on an endpoint subset retaining half the coordinate volume.

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_stationary_good_segment_paths line 37

    Source documentation

    For all large scales, one actual pair has controlled image paths to a subset of the actual rescaled endpoints with half the coordinate volume.

    theorem exists_stationary_good_segment_paths
        (hExp : IsGroupExponential Exp)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

    Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput