OAI/MeasureTheory/Falconer/Estimates/ScalarCollisionKernel.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

Counting projection collisions by a scalar kernel. The diagonal and horizontal coincidences are separated before applying the affine estimate.

  1. def OAI.Falconer.scalarPairCell line 11
  2. def OAI.Falconer.scalarCollisionKernel line 13
  3. theorem OAI.Falconer.scalar_collision_support line 17
  4. theorem OAI.Falconer.scalar_collision_parameter_kernel line 31
  5. theorem OAI.Falconer.scalar_projection_collision_sum line 72
  6. theorem OAI.Falconer.scalar_projection_kernel_sum line 86