OAI/Probability/SLEGauge/CutoffDrift.lean

GitHub source file

32 declarations, 0 contain sorry, 0 declared as axioms

Hausdorff gauges, Loewner evolution and trace measures.

  1. def OAI.ExactSLEGreen.cutoffDrift line 20
  2. lemma OAI.ExactSLEGreen.cutoffDrift_second_bound line 23
  3. lemma OAI.ExactSLEGreen.cutoffDrift_second_lipschitz line 32
  4. lemma OAI.ExactSLEGreen.cutoffDrift_bound line 56
  5. lemma OAI.ExactSLEGreen.cutoffDrift_lipschitz line 60
  6. lemma OAI.ExactSLEGreen.cutoffDrift_eq_physical line 70
  7. theorem OAI.ExactSLEGreen.state_eq_loewner_on_safe line 78
  8. lemma OAI.ExactSLEHitting.firstContact_mem line 148
  9. lemma OAI.ExactSLEHitting.firstContact_le_iff line 160
  10. lemma OAI.ExactSLEHitting.measurable_has_contact line 178
  11. lemma OAI.ExactSLEHitting.firstContact_stopping line 207
  12. lemma OAI.ExactSLEHitting.boundedContact_le_iff line 223
  13. lemma OAI.ExactSLEHitting.boundedContact_stopping line 242
  14. lemma OAI.ExactSLEHitting.nonneg_before_boundedContact line 261
  15. lemma OAI.ExactSLEHitting.boundedContact_eq_zero line 273
  16. def OAI.ExactSLEGreen.physicalRadius line 288
  17. lemma OAI.ExactSLEGreen.physicalRadius_continuous line 289
  18. lemma OAI.ExactSLEGreen.alpha_pos line 292
  19. lemma OAI.ExactSLEGreen.physicalGreen_bound line 298
  20. lemma OAI.ExactSLEGreen.physicalGreen_eq_radius_sine line 318
  21. lemma OAI.ExactSLEGreen.exists_localState line 334
  22. def OAI.ExactSLEGreen.localState line 345
  23. lemma OAI.ExactSLEGreen.localState_continuous line 347
  24. lemma OAI.ExactSLEGreen.localState_adapted line 350
  25. lemma OAI.ExactSLEGreen.localState_zero line 353
  26. lemma OAI.ExactSLEGreen.localState_eq line 356
  27. lemma OAI.ExactSLEGreen.localState_eq_zero line 360
  28. theorem OAI.ExactSLEGreen.localGreen_optional line 368
  29. structure OAI.ExactSLEBarrier.Evolution line 407
  30. lemma OAI.ExactSLEBarrier.Evolution.logHeight_deriv line 418
  31. lemma OAI.ExactSLEBarrier.Evolution.logRadius_deriv line 424
  32. lemma OAI.ExactSLEBarrier.Evolution.height_le line 433