OAI/MeasureTheory/Falconer/Estimates/DescriptorInverseRegime.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

The actual descriptor derivative scale is in the inverse regime

The high-frequency condition and the retained descriptor length give a uniform gap between the squared derivative scale and the oscillation. The fixed shell factor four is absorbed before selecting any cells.

  1. theorem OAI.Falconer.dyadic_nat_rpow line 14
  2. theorem OAI.Falconer.dyadic_square_div line 18
  3. theorem OAI.Falconer.descriptorDerivativeScale_le_square line 25
  4. theorem OAI.Falconer.descriptorDerivativeScale_inverse_ratio line 42
  5. theorem OAI.Falconer.descriptorDerivativeScale_inverse_regime line 65
  6. theorem OAI.Falconer.eventual_descriptor_inverse_frequency line 75
  7. theorem OAI.Falconer.dyadic_shell_frequency_lower line 106
  8. theorem OAI.Falconer.inverse_frequency_of_scaled_distance line 114