OAI/Geometry/RCD/Transport/AsymmetricMidpoint.lean
4 declarations, 0 contain sorry, 0 declared as axioms
Midpoint transport with separately controlled endpoint densities
The distance-Laplacian construction needs concentration of one endpoint at a pole. Equal endpoint bounds lose all control in that limit. Here the actual CD inequality retains the two inverse density powers separately.
- theorem
OAI.RegularPointCoordinates.cd_midpoint_renyi_lower_asymmetricline 21 - theorem
OAI.RegularPointCoordinates.FullCD.exists_midpoint_ac_support_bound_asymmetricline 63 - def
OAI.RegularPointCoordinates.midpointSupportFactorline 102Source documentation
The volume factor from the two separately bounded endpoint densities.
noncomputable def midpointSupportFactor (K : ℝ) (n : ℕ) (D : ℝ) (C₀ C₁ : ℝ≥0∞) : ℝ≥0∞ := … - theorem
OAI.RegularPointCoordinates.midpointSupportFactor_scaleline 106