OAI/MeasureTheory/Falconer/Estimates/DyadicSlopeVariance.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Exact variance and selection of a small energy increment for dyadic slopes.

  1. def OAI.Falconer.dyadicSlopeVariance line 9
  2. theorem OAI.Falconer.dyadicSlopeVariance_nonneg line 13
  3. theorem OAI.Falconer.dyadicSlopeVariance_eq line 19
  4. theorem OAI.Falconer.dyadicSlopeVariance_centered line 33
  5. theorem OAI.Falconer.dyadicSlopeEnergy_block_telescoping line 40
  6. theorem OAI.Falconer.exists_small_dyadic_energy_increment line 47
  7. theorem OAI.Falconer.dyadicSlopeVariance_recenter line 63
  8. theorem OAI.Falconer.dyadicSlopeVariance_child_le line 69