This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

We introduce a method by which stochastic processes are mapped onto complex networks.
As examples, we construct the networks for such time series as those for free-jet and low …

We describe a general method for analyzing a nonstationary stochastic process X (t) which,
unlike many of the previous analysis methods, does not require X (t) to have any scaling …

The clustering of local extrema will be exploited to examine Gaussianity, asymmetry, and the
footprint of the cosmic-string network on the CMB observed by Planck. The number density …

We provide a simple interpretation of non-Gaussian nature of the light scattering-intensity
fluctuations from an aging colloidal suspension of Laponite using the multiplicative cascade …

In this paper we study the footprint of cosmic string as the topological defects in the very
early universe on the cosmic microwave background radiation. We develop the method of …

The effect of bias voltages on the statistical properties of rough surfaces has been studied
using atomic force microscopy technique and its stochastic analysis. We have characterized …

We have used level crossing analysis to obtain further insights on roughness and
multifractality. In addition, sources of multifractality could be specified by using shuffling and …

We investigate the average frequency of positive slope ν α+ crossing for the returns of
market prices. The method is based on stochastic processes in which no scaling feature is …

In this paper, we propose the use of crossing statistics and its generalizations as a new
framework to characterize the anisotropy of a 2D rough surface. The proposed method is …