Form Factors for Generalized Grey Brownian Motion

TL;DR

This paper derives explicit formulas for the form factors of a class of non-Gaussian processes characterized by Mittag-Leffler functions, enabling analysis of their asymptotic behavior.

Contribution

It provides a closed-form expression for the form factors of generalized grey Brownian motion, a novel class of non-Gaussian stochastic processes.

Findings

Closed analytic form for form factors obtained

Asymptotic decay behavior analyzed

Connection to Debye function established

Abstract

In this paper we investigate the form factors of paths for a class of non Gaussian processes. These processes are characterized in terms of the Mittag-Leffler function. In particular, we obtain a closed analytic form for the form factors, the Debye function, and can study their asymptotic decay.