Description
I will discuss a general framework for correlation analyses of cosmic structures based on nonlinear perturbation theory. In particular, I will outline a new methodology for studying the spatial correlations of astronomical objects described by general tensor quantities, including scalars, vectors and higher-order tensors. The method is based on irreducible representations of the two- and three-dimensional rotation groups, and shows how rotationally invariant observables can be constructed and predicted using perturbation theory.