OAI/NumberTheory/DukePrimeDegree/Dynamics/ShearingAnnulus.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Annular simultaneous returns

Small mass near the root origin excludes the central portion of a shearing interval. The relative maximal bound then supplies simultaneous compact returns in the remaining annulus, as in EKL Section 4.5.

  1. lemma OAI.DukePrimeDegree.scaling_preimage_closedBall line 21
  2. lemma OAI.DukePrimeDegree.normalized_scaling_closedBall line 28
  3. theorem OAI.DukePrimeDegree.normalized_small_ball_gives_annulus line 37
  4. theorem OAI.DukePrimeDegree.exists_annular_simultaneous_root_return line 49