Disks as Inhomogeneous, Anisotropic Gaussian Random Fields
  We model astrophysical disk surface brightness fluctuations as an
inhomogeneous, anisotropic, time-dependent Gaussian random field. The field
locally obeys the stochastic partial differential equation of a Mat\'ern field,
which has a power spectrum that is flat at large scales and falls off as a
power law at small scales. We provide a series of pedagogical examples and
along the way provide a convenient parameterization for the local covariance.
We then consider two applications to disks. In the first we generate a movie of
a disk. In the second, by integrating over a movie of a disk, we generate
synthetic light curves and show that the high frequency slope of the resulting
power spectrum depends on the local covariance model. We finish with a summary
and a brief discussion of other possible astrophysical applications.
