We obtain discrete mixture representations for parametric families of probability distributions on Euclidean spheres, such as the von Mises–Fisher, the Watson and the angular Gaussian families. In addition to several special results we present a general approach to isotropic distribution...

We obtain discrete mixture representations for parametric families of probability distributions on Euclidean spheres, such as the von Mises–Fisher, the Watson and the angular Gaussian families. In addition to several special results we present a general approach to isotropic distribution...

Each stationary process can be biunivoquely associated with a random measure, through the Fourier transform. Consequently, every particularity of a process in the temporal domain has its corresponding one in the frequency domain. We propose to study the characteristics of the random measure when...

Kinetic representation of fluid dynamics is essential for describing flows far beyond the Navier–Stokes regime. Existing lattice Boltzmann models suffer from discrete rotation artifacts at high Knudsen number (Kn). In this paper, we present a new approach that directly addresses this issue and...