  The monotone rearrangement of a function is the non-decreasing function with
the same distribution. The convex rearrangement of a smooth function is
obtained by integrating the monotone rearrangement of its derivative. This
operator can be applied to regularizations of a stochastic process to measure
quantities of interest in econometrics.
  A multivariate generalization of these operators is proposed, and the almost
sure convergence of rearrangements of regularized Gaussian fields is given. For
the Fractional Brownian field or the Brownian sheet approximated on a
simplicial grid, it appears that the limit object depends on the orientation of
the simplices.
