Approaching complexity by stochastic methods: From biological systems to turbulence

R Friedrich, J Peinke, M Sahimi, MRR Tabar - Physics Reports, 2011 - Elsevier
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 …

Level crossing analysis of cosmic microwave background radiation: a method for detecting cosmic strings

MS Movahed, S Khosravi - Journal of Cosmology and …, 2011 - iopscience.iop.org
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 …

Stochastic features of rough surfaces: analysis of laser-induced silicon surface modification

M Vahabi, GR Jafari, N Mansour… - Journal of Statistical …, 2008 - iopscience.iop.org
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 …

Level crossing analysis of the stock markets

GR Jafari, MS Movahed, SM Fazeli… - Journal of Statistical …, 2006 - iopscience.iop.org
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 …

The effect of annealing temperature on the statistical properties of WO3 surface

GR Jafari, AA Saberi, R Azimirad… - Journal of Statistical …, 2006 - iopscience.iop.org
We have studied the effect of annealing temperature on the statistical properties of WO 3
surface using atomic force microscopy (AFM) techniques. We have applied both level …

Surface roughness analysis of hydrophilic SiO2/TiO2/glass nano bilayers by the level crossing approach

E Daryaei, MRR Tabar, AZ Moshfegh - Physica A: Statistical Mechanics and …, 2013 - Elsevier
The effect of etching time on the statistical properties of hydrophilic surfaces of
SiO2/TiO2/glass nano bilayers has been studied using atomic force microscopy (AFM) and a …

Crossing statistics of laser light scattered through a nanofluid

M Arshadi Pirlar, SMS Movahed… - Journal of the Optical …, 2017 - opg.optica.org
In this paper, we investigate the crossing statistics of speckle patterns formed in the Fresnel
diffraction region by a laser beam scattering through a nanofluid. We extend zero-crossing …

Statistics of level crossing intervals: discretized version and comparison with experimental studies

N Fuchikami, S Ishioka - Noise and Stochastics in Complex …, 2007 - spiedigitallibrary.org
Previously we derived the probability density function (PDF) of the zero-crossing interval for
1/f α noise and found that the PDF, L (t) obeys the power law of the form 1/tc whose …

Surface roughness analysis of the hydrophilic SiO_2/TiO_2 nano bi-layers by Level crossing approach

E Daryaei, M Tabar, AZ Moshfegh - arXiv preprint arXiv:1308.4444, 2013 - arxiv.org
The effect of etching time on the statistical properties of the hydrophilic surface of
SiO_2/TiO_2/Glass nano bi-layer has been studied using Atomic Force Microscopy (AFM) …

ON THE FLUCTUATIONS OF WATER WAVES GOVERNED BY THE CAMASSA–HOLM AND KdV EQUATIONS IN (1+ 1)-DIMENSION

AA Masoudi, S Vasheghani Farahani… - International Journal of …, 2009 - World Scientific
In this paper, we are planning to consider the fluctuations of two nonlinear equations which
govern the dynamics of water waves named Camassa–Holm and KdV. We consider the total …