Limit theorems for additive functionals of stationary fields, under   integrability assumptions on the higher order spectral densities
  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. 
Florin Avram, Nikolai Leonenko, and Ludmila Sakhno
math.PR