OAI/Probability/ThorpShuffle/MarginalEnergy.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

1. theorem OAI.Thorp.Conditional.freeCount_eq_sum line 16
2. theorem OAI.Thorp.Conditional.pairFreeCount_physical line 23
3. theorem OAI.Thorp.Conditional.halfCount_after_step line 31
4. theorem OAI.Thorp.Conditional.halfDensity_after_step line 43
5. theorem OAI.Thorp.Conditional.partnerEnergy_nonneg line 60
6. theorem OAI.Thorp.Conditional.oneFreeEnergy_le line 65
7. theorem OAI.Thorp.Conditional.expectedNoise_le_energy line 70
8. theorem OAI.Thorp.Conditional.noise_bound_balanced_state line 76
9. def OAI.Thorp.Conditional.singleHistory line 83
10. theorem OAI.Thorp.Conditional.mean_history_one line 92
11. theorem OAI.Thorp.Conditional.iterateState_one line 96
12. theorem OAI.Thorp.Conditional.expectedEnergy_first line 99
13. theorem OAI.Thorp.Conditional.expectedNoise_first line 105
14. theorem OAI.Thorp.Conditional.expectedNoise_dimension line 111
15. theorem OAI.Thorp.Conditional.expectedNoise_bound line 150
16. theorem OAI.Thorp.Conditional.expectedEnergy_decay line 166
17. theorem OAI.Thorp.Conditional.expectedEnergy_200 line 180
18. theorem OAI.Thorp.Conditional.centeredPoint_energy_200 line 195