OAI/Analysis/RCDHeat/WeightedPlan.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Cheeger energy, curvature-dimension transport and heat-flow estimates: WeightedPlan, EntropySubgradient, GeodesicSlope, GeodesicIntegralSlope, EntropyGeodesic.

  1. theorem OAI.RegularPointCoordinates.optimalPlan_dist_sq_integrable line 17
  2. theorem OAI.RegularPointCoordinates.FullCD.exists_finite_entropy_exp_plan line 35
  3. theorem OAI.RegularPointCoordinates.density_entropy_supporting_line line 86
  4. theorem OAI.RegularPointCoordinates.integral_entropy_subgradient line 97
  5. theorem OAI.RegularPointCoordinates.probability_entropy_subgradient line 120
  6. theorem OAI.RegularPointCoordinates.slopeAtScale_le_lipschitz line 153
  7. theorem OAI.RegularPointCoordinates.geodesic_limsup_increment line 161
  8. theorem OAI.RegularPointCoordinates.limsup_geodesic_increment_integral_le line 207
  9. theorem OAI.RegularPointCoordinates.geodesic_increment_integrable line 237
  10. def OAI.RegularPointCoordinates.boltzmannEntropy line 259
  11. theorem OAI.RegularPointCoordinates.entropy_subgradient_rep line 263
  12. theorem OAI.RegularPointCoordinates.entropy_secant_le line 277
  13. theorem OAI.RegularPointCoordinates.entropy_plan_slope_bound line 283