OAI/NumberTheory/DukePrimeDegree/Geometry/RootPairTimeSelection.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Actual diagonal recurrence with simultaneous leaf covariance

The correct two-coordinate shearing flow has a large measurable set on which both recurrence estimates hold on every long interval. Removing one null set also gives leaf covariance at almost every time. The common time can therefore satisfy all six recurrence conditions and all six covariance identities used in the two-scale argument.

  1. def OAI.DukePrimeDegree.RootPairLeafCovariance line 22
  2. theorem OAI.DukePrimeDegree.exists_rootPair_two_target_covariance_set line 30
  3. theorem OAI.DukePrimeDegree.common_rootPair_time_with_covariance line 65