OAI/Probability/SLEGauge/RadialBounds.lean

GitHub source file

33 declarations, 0 contain sorry, 0 declared as axioms

Hausdorff gauges, Loewner evolution and trace measures.

  1. lemma OAI.ExactSLEBarrier.Evolution.logRadius_le line 20
  2. theorem OAI.ExactSLEBarrier.Evolution.height_barrier line 33
  3. theorem OAI.ExactSLEBarrier.Evolution.time_barrier line 64
  4. lemma OAI.ExactSLEGreen.localState_projection_deriv line 89
  5. lemma OAI.ExactSLEGreen.Y_physicalDrift line 111
  6. lemma OAI.ExactSLEGreen.J_physicalDrift line 116
  7. lemma OAI.ExactSLEGreen.localState_evolution line 126
  8. def OAI.ExactSLEGreen.regionMonitor line 154
  9. lemma OAI.ExactSLEGreen.regionMonitor_continuous line 156
  10. lemma OAI.ExactSLEGreen.regionMonitor_nonneg_iff line 160
  11. lemma OAI.ExactSLEGreen.regionMonitor_nonpos_iff line 164
  12. def OAI.ExactSLEGreen.regionStop line 169
  13. lemma OAI.ExactSLEGreen.regionStop_stopping line 173
  14. lemma OAI.ExactSLEGreen.regionStop_le line 180
  15. lemma OAI.ExactSLEGreen.regionStop_safe line 184
  16. lemma OAI.ExactSLEGreen.regionStop_contact line 195
  17. lemma OAI.ExactSLEGreen.localState_stopped_measurable line 211
  18. lemma OAI.ExactSLEGreen.regionStop_green_mean line 222
  19. def OAI.ExactSLEGreen.heightFloor line 255
  20. def OAI.ExactSLEGreen.logCeiling line 257
  21. lemma OAI.ExactSLEGreen.heightFloor_pos line 260
  22. lemma OAI.ExactSLEGreen.logCeiling_nonneg line 261
  23. lemma OAI.ExactSLEGreen.heightFloor_le line 265
  24. lemma OAI.ExactSLEGreen.regionStop_barriers line 279
  25. lemma OAI.ExactSLEGreen.regionStop_true_exit line 349
  26. lemma OAI.ExactSLEGreen.regionStop_loewner line 375
  27. def OAI.ExactSLEGreen.actualState line 393
  28. def OAI.ExactSLEGreen.radialTime line 395
  29. def OAI.ExactSLEGreen.radialWeight line 397
  30. lemma OAI.ExactSLEGreen.regionStop_actualState line 401
  31. lemma OAI.ExactSLEGreen.regionStop_le_hit line 411
  32. lemma OAI.ExactSLEGreen.regionStop_eq_radialTime line 425
  33. lemma OAI.ExactSLEGreen.radialTime_top_of_no_hit line 438