Non-Random Orientation Distribution Functions With Random Pole Figures

Random Distribution Functions

Random variables, joint distribution functions, and copulas

If G is an n-dimensional joint distribution function with 1-dimensional margins F1,...,Fn, then there exists a function C (called an "w-copula") from the unit »-cube to the unit interval such that G(xx, ..., xn) = C(F1(x1), ..., Fn(xn)) for all real n-tuples (xlt ..., xn). The paper is devoted to an investigation of the structure and properties of n-copulas and their connection with random vari...

Stochastic Modelling Probability Theory of Random Functions Random Variables Random Functions Spectral Representation of Random Functions Isotropic Incompressible Random Functions Transformations of Random Functions Derivation of Stochastic Models Quasi Homogeneous Random Functions Filtering of Random Functions

Distribution of Normalized Zero-Sets of Random Entire Functions with Small Random Perturbation

In this paper, we extend our earlier result (see [Y2008]) on the distribution of normalized zero-sets of random entire functions to random entire functions with small random perturbation.

Non-Gaussian distribution in random advection dynamics.

Simulations of vortex tube dynamics reveal that the non-Gaussian nature of turbulent fluctuation originates in the effect of random advection. A similar non-Gaussian distribution is found numerically in a simplified statistical model of random advection. An analytical solution is obtained in the mean-field case.