OAI/MeasureTheory/Falconer/Geometry/ProjectionEnergy.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Finite collision energy of the actual quantized projections. The Cauchy--Schwarz lower bound and its geometric interpretation are used in the scalar projection argument.

  1. def OAI.Falconer.cellCollisions line 11
  2. theorem OAI.Falconer.cellCollisions_card line 14
  3. theorem OAI.Falconer.finite_cell_energy_lower line 34
  4. theorem OAI.Falconer.same_projection_cell_near line 48
  5. theorem OAI.Falconer.projection_energy_lower line 62