title: Non-Poisson dichotomous noise: higher-order correlation functions and aging.
abstract: We study a two-state symmetric noise, with a given waiting time distribution psi (tau) , and focus our attention on the connection between the four-time and two-time correlation functions. The transition of psi (tau) from the exponential to the nonexponential condition yields the breakdown of the usual factorization condition of high-order correlation functions, as well as the birth of aging effects. We discuss the subtle connections between these two properties and establish the condition that the Liouville-like approach has to satisfy in order to produce a correct description of the resulting diffusion process.
authors.affiliation: INFM, Unità di Como, Via Valleggio 11, 22100 Como, Italy.
authors.forename: P
authors.initials: P
authors.lastname: Allegrini
authors.forename: Paolo
authors.initials: P
authors.lastname: Grigolini
authors.forename: Luigi
authors.initials: L
authors.lastname: Palatella
authors.forename: Bruce J
authors.initials: BJ
authors.lastname: West