OAI/Probability/InvariantIsing/Fields/SpinProjectionEntropy.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Entropy lost by a deterministic spin projection is controlled by its expected Hamming distance. The estimate uses one finite conditional kernel, so its constant does not depend on the depth of a Gaussian cascade.

  1. lemma OAI.InvariantIsing.finitePushforwardWeights_pos_image line 15
  2. theorem OAI.InvariantIsing.finite_pushforward_entropy_bound line 20
  3. theorem OAI.InvariantIsing.spin_projection_entropy_bound line 71