OAI/MeasureTheory/Falconer/Estimates/FourPointPartition.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Exact original four-point partitions before far rebinning

Each internal pair keeps its original two endpoint restrictions. These identities allow a nonnegative kernel bound to discard a far-label selection and then repartition at the common comparable-displacement depth.

  1. def OAI.Falconer.originalFourPointMeasure line 18
  2. def OAI.Falconer.fourPointChildMeasure line 23
  3. theorem OAI.Falconer.DyadicCube.pair_restrict_occupiedPaths line 30
  4. theorem OAI.Falconer.originalFourPointMeasure_partition line 37
  5. theorem OAI.Falconer.originalFourPoint_lintegral_drop_selection line 47