OAI/MathematicalPhysics/Boltzmann/Approximation/CapDilationScales.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

The attained cap ratio and its uniform perturbation bound

  1. def OAI.BoltzmannNonuniqueness.Cap.peak line 17
  2. theorem OAI.BoltzmannNonuniqueness.Cap.peak_eq_of_max line 19
  3. theorem OAI.BoltzmannNonuniqueness.Cap.peak_attained line 27
  4. theorem OAI.BoltzmannNonuniqueness.Cap.peak_difference line 36
  5. theorem OAI.BoltzmannNonuniqueness.ZeroProfile.source_le_cap line 71
  6. theorem OAI.BoltzmannNonuniqueness.ZeroProfile.source_cap_dilation line 83
  7. theorem OAI.BoltzmannNonuniqueness.ZeroProfile.source_cap_error_tendsto line 89
  8. theorem OAI.BoltzmannNonuniqueness.JetCopyDatum.periodicInitial_entropy_tendsto line 115
  9. theorem OAI.BoltzmannNonuniqueness.Cap.dilation_radius_pos line 199
  10. theorem OAI.BoltzmannNonuniqueness.Cap.cold_fraction_mem line 202
  11. theorem OAI.BoltzmannNonuniqueness.Cap.normalized_cap_time line 207
  12. theorem OAI.BoltzmannNonuniqueness.Cap.normalized_horizon_lower line 213
  13. theorem OAI.BoltzmannNonuniqueness.Cap.terminal_scale_tendsto_zero line 220
  14. theorem OAI.BoltzmannNonuniqueness.Cap.dilation_radius_tendsto_zero line 227
  15. theorem OAI.BoltzmannNonuniqueness.Cap.cold_fraction_subsequence line 237
  16. theorem OAI.BoltzmannNonuniqueness.Cap.normalized_horizon_limit_ge_one line 243