A characterization and moving average representation for stable harmonizable processes.
A Cramér type theorem for weighted random variables.
A dynamical characterization of Poisson-Dirichlet distributions.
A population model for -coalescents with neutral mutations.
A representation of infinitely divisible signed random measures.
A reversibility problem for Fleming-Viot processes.
A superprocess involving both branching and coalescing
A super-stable motion with infinite mean branching
Almost sure finiteness for the total occupation time of an -superprocess.
An application of the voter model–super-brownian motion invariance principle
An invariance principle in for non stationary -mixing sequences
Invariance principle in is studied using signed random measures. This approach to the problem uses an explicit isometry between and a reproducing kernel Hilbert space giving a very convenient setting for the study of compactness and convergence of the sequence of Donsker functions. As an application, we prove a version of the invariance principle in the case of -mixing random variables. Our result is not available in the -setting.
Another look at the moment method for large dimensional random matrices.