OAI/Analysis/PlanarEndpoint/Information/TailBounds.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Finite information laws, entropy and convergence of probability measures.

  1. lemma OAI.PlanarEndpoint.TransverseInformation.neg_mul_log_le_two_sqrt line 13
  2. lemma OAI.PlanarEndpoint.TransverseInformation.information_tail_pointwise line 33
  3. lemma OAI.PlanarEndpoint.TransverseInformation.information_mass_tail_le line 58
  4. lemma OAI.PlanarEndpoint.TransverseInformation.information_expected_tail_le line 76
  5. lemma OAI.PlanarEndpoint.TransverseInformation.jointMass_eq_row_mul_conditional line 86
  6. lemma OAI.PlanarEndpoint.TransverseInformation.conditional_information_nonneg line 95
  7. lemma OAI.PlanarEndpoint.TransverseInformation.conditional_information_mass_tail_le line 107
  8. lemma OAI.PlanarEndpoint.TransverseInformation.conditional_information_expected_tail_le line 136
  9. lemma OAI.PlanarEndpoint.TransverseInformation.polynomial_alphabet_tail_bound line 167
  10. lemma OAI.PlanarEndpoint.TransverseInformation.polynomial_alphabet_mass_bound line 194
  11. lemma OAI.PlanarEndpoint.TransverseInformation.polynomial_alphabet_mass_envelope_tendsto_zero line 205
  12. lemma OAI.PlanarEndpoint.TransverseInformation.polynomial_alphabet_envelope_tendsto_zero line 215
  13. lemma OAI.PlanarEndpoint.TransverseInformation.conditional_information_uniform_tail line 226