OAI/Analysis/KadisonKastler/RandomWalkIdentityBoundary.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

The boundary law of a walk starting at the identity

The initial root law was chosen with full support. Starting at the identity is absolutely continuous before taking the invariant factor; after one increment its boundary law is exactly the chosen boundary probability.

  1. def OAI.KadisonKastler.randomWalkFromIdentity line 20
  2. theorem OAI.KadisonKastler.randomWalkFromIdentity_measurable line 23
  3. theorem OAI.KadisonKastler.randomWalkFromIdentity_quasi line 26
  4. theorem OAI.KadisonKastler.randomWalkAdvance_fromIdentity_law line 36
  5. def OAI.KadisonKastler.randomWalkIdentityBoundary line 42
  6. theorem OAI.KadisonKastler.randomWalkIdentityBoundary_measurePreserving line 45