OAI/NumberTheory/DukePrimeDegree/Entropy/FineReturnObservation.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

A finite-entropy observation with arbitrarily fine recurrent fibers

For an ergodic map and a section with unbounded positive return levels, the transverse refinement forces future fibers to agree arbitrarily closely in the chosen transverse coordinates.

  1. theorem OAI.DukePrimeDegree.exists_fine_return_observation line 17