We propose a method for reconstructing a probability density function (pdf) from a sample of an n -dimensional probability distribution. The method works by iteratively applying some simple ...

Some of the associated probability density functions involve Bessel functions and theta functions. We describe properties of the operators, including how they transform moments.

We show the existence and uniqueness of a function-valued process solution to the stochastic Cahn-Hilliard equation driven by space-time white noise with a nonlinear diffusion coefficient. Then we ...