Higher-order spectral densities of fractional random fields
The fractional heat equation and fractional diffusion equations with random initial conditions and their properly rescaled solutions are considered. Emphasis is on spectral and stationarity properties of the arising spatial random fields, the ``diagram formalism'' and the Riesz composition formula playing an essential role in the analysis. The authors so accomplish a first step to full parametrization of higher order spectra of some classes of fractional random fields.
scientific article; zbMATH DE number 1908533