OAI/Probability/SLE/Stochastic/WienerGrid.lean

GitHub source file

17 declarations, 0 contain sorry, 0 declared as axioms

The uniform grid and its linear interpolation, used only to prove the finite-window support of the actual Wiener law.

  1. def OAI.SLEExactGauge.wienerGridTime line 14
  2. def OAI.SLEExactGauge.wienerGridCell line 16
  3. def OAI.SLEExactGauge.wienerGridWeight line 19
  4. lemma OAI.SLEExactGauge.wienerGridCell_le line 22
  5. lemma OAI.SLEExactGauge.wienerGridWeight_mem line 28
  6. lemma OAI.SLEExactGauge.wienerGrid_bracket line 37
  7. lemma OAI.SLEExactGauge.wienerGrid_affine line 54
  8. lemma OAI.SLEExactGauge.wienerGrid_gap line 63
  9. def OAI.SLEExactGauge.wienerGridInterp line 69
  10. lemma OAI.SLEExactGauge.wienerGridInterp_error line 73
  11. lemma OAI.SLEExactGauge.wienerGridTime_mono line 96
  12. lemma OAI.SLEExactGauge.wienerGridTime_mem line 100
  13. lemma OAI.SLEExactGauge.wienerGrid_dist_left line 110
  14. lemma OAI.SLEExactGauge.wienerGrid_dist_right line 118
  15. lemma OAI.SLEExactGauge.wienerGridInterp_uniform line 126
  16. lemma OAI.SLEExactGauge.wienerGridInterp_sub line 147
  17. lemma OAI.SLEExactGauge.wienerGridInterp_difference line 153