Non-Gaussian Parameter in k-Dimensional Euclidean Space

TL;DR

This paper extends the concept of the non-Gaussian parameter to k-dimensional Euclidean space, providing a new way to analyze deviations from Gaussian Brownian motion in higher dimensions.

Contribution

The paper introduces a generalized form of the non-Gaussian parameter applicable to k-dimensional Euclidean space, broadening its use in diffusion analysis.

Findings

Generalization of the non-Gaussian parameter to higher dimensions

Enhanced characterization of non-Gaussian diffusion dynamics

Potential applications in complex systems analysis

Abstract

We generalize the non-Gaussian parameter, which is utilized to characterize the distinction of dynamics between realistic and Gaussian Brownian diffusions, in k-dimensional Euclidean space.