OAI/Geometry/RCD/Heat/PositiveKernelLogDerivative.lean

GitHub source file

4 declarations, 0 contain sorry, 0 declared as axioms

Logarithmic derivatives of positive kernel rows

Two uniformly positive bounded rows, tilted by the same bounded exponent, have logarithmic derivatives differing by at most a strict fraction of the oscillation of that exponent.

  1. def OAI.RegularPointCoordinates.positiveKernelLogTilt line 19
  2. def OAI.RegularPointCoordinates.positiveKernelLogTiltDerivative line 22
  3. theorem OAI.RegularPointCoordinates.positiveKernelLogTilt_hasDerivAt line 26
  4. theorem OAI.RegularPointCoordinates.positiveKernelLogTiltDerivative_difference line 51