OAI/NumberTheory/DukePrimeDegree/Arithmetic/ExceptionalSetExclusion.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

Exclusion of exceptional neutral return sets

A measurable set on which all sufficiently small neutral return lifts centralize one root has measure zero. The recurrence strengthening makes these lifts centralize both roots on each quotient chart; the neutral ergodic decomposition then contradicts the arithmetic orbit obstruction. This combines the needed directions of EKL (2006), Lemma 4.2, Proposition 4.3, and Theorem 5.1, without assuming those results.

  1. theorem OAI.DukePrimeDegree.exceptional_neutral_return_set_null line 24