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Bibliographical Notes
The bibliographical notes identify the papers and books behind this chapter's arguments and indicate where stronger or more technical versions can be found.
Open this section in the canonical August 9 source ↗Place in the proof route
The chapter uses this material in the route toward Markov-semigroup interpolation proves functional inequalities from curvature and dissipation. The declaration-level source map is intentionally left inside the formalization layer until exact theorem anchors have been audited.
Why is this valid?
Chapter-level validity conditions
- State whether Hessian inequalities hold everywhere, almost everywhere, or in a weak convex-analytic sense.
- Track normalization and absolute continuity whenever a potential is used to define a probability law.
- Keep localization inputs separate from the one-dimensional inequality they reduce to.
View Lean formalization
No declaration-level mapping has been accepted for this section. This is a route status, not a failed Lean declaration.