OAI/Probability/FreeIsing/Trees/Koopman.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

  1. instance OAI.Problem367.TreeKoopman.labelProbability line 14
  2. def OAI.Problem367.TreeKoopman.reflection line 18
  3. theorem OAI.Problem367.TreeKoopman.reflection_measurePreserving line 22
  4. theorem OAI.Problem367.TreeKoopman.reflection_involutive line 26
  5. def OAI.Problem367.TreeKoopman.average line 33
  6. theorem OAI.Problem367.TreeKoopman.average_selfAdjoint line 37
  7. theorem OAI.Problem367.TreeKoopman.average_norm_le_one line 40
  8. def OAI.Problem367.TreeKoopman.centeredAverage line 44
  9. theorem OAI.Problem367.TreeKoopman.centeredAverage_selfAdjoint line 49
  10. theorem OAI.Problem367.TreeKoopman.centeredAverage_norm_le_one line 52
  11. theorem OAI.Problem367.TreeKoopman.centeredAverage_apply_coe line 57
  12. theorem OAI.Problem367.TreeKoopman.centeredAverage_pow_apply_coe line 61
  13. theorem OAI.Problem367.TreeKoopman.reflection_toLp_eq line 73
  14. theorem OAI.Problem367.TreeKoopman.average_toLp_eq line 89