49 citations · 103 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2013★ 49 cited
A Novel Exact Representation of Stationary Colored Gaussian Processes (Fractional Differential Approach)
Giulio Cottone, Mario Di Paola, Roberta Santoro
A novel representation of functions, called generalized Taylor form, is applied to the filtering of white noise processes. It is shown that every Gaussian colored noise can be expr…
math-ph2013★ 39 cited
On the use of fractional calculus for the probabilistic characterization of random variables
Giulio Cottone, Mario Di Paola
In this paper, the classical problem of the probabilistic characterization of a random variable is re-examined. A random variable is usually described by the probability density fu…
cond-mat.stat-mech2012★ 15 cited
Fractional Spectral Moments for Digital Simulation of Multivariate Wind Velocity Fields
Giulio Cottone, Mario Di Paola
In this paper, a method for the digital simulation of wind velocity fields by Fractional Spectral Moment function is proposed. It is shown that by constructing a digital filter who…