paper

Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities

arXiv:1202.3041

Abstract

We prove central limit theorems for additive functionals of stationary fields under integrability conditions on the higher-order spectral densities, which are derived using the Holder-Young-Brascamp-Lieb inequality.

Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities · wovepaper