OAI/Combinatorics/ContingencyTables/Sampling/FirstPaperSmallMixing.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Minimum mass and mixing of the actual small chain

  1. def OAI.ContingencyTables.SmallGraphProfiles.stateBound line 17
  2. lemma OAI.ContingencyTables.SmallGraphProfiles.stateCapacity_le_bound line 23
  3. lemma OAI.ContingencyTables.SmallGraphProfiles.stateWeight_ge_one line 28
  4. lemma OAI.ContingencyTables.SmallGraphProfiles.state_total_mass_le line 46
  5. lemma OAI.ContingencyTables.SmallGraphProfiles.paperSmallChain_pi_lower line 52
  6. theorem OAI.ContingencyTables.SmallGraphProfiles.paperSmallChain_point_mixing line 64
  7. theorem OAI.ContingencyTables.SmallGraphProfiles.paperSmallChain_total_variation line 85

    Source documentation

    The manuscript's total-variation estimate, for the literal transition law started at any actual physical state.

    theorem paperSmallChain_total_variation (r : I → ℕ) (c : J → ℕ) [Nonempty (PaperStates r c)]
    (i₀ : LargeRows r ((dimensionAllowance (I := I) (J := J))^20))
…

    Mentions: OAI.ContingencyTables.SmallGraphProfiles.PaperStates, OAI.ContingencyTables.SmallGraphProfiles.LargeRows