OAI/Probability/InvariantIsing/Fields/FieldLipschitzTransport.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

First-moment transport controls Lipschitz integrals and hence weak convergence.

  1. lemma OAI.InvariantIsing.integrable_lipschitz_field line 12
  2. lemma OAI.InvariantIsing.fieldCoupling_integral_lipschitz line 24
  3. lemma OAI.InvariantIsing.integral_tendsto_of_fieldWasserstein line 49
  4. lemma OAI.InvariantIsing.weak_tendsto_of_fieldWasserstein line 71