Reconstruction, optimization, and design of heterogeneous materials and media: Basic principles, computational algorithms, and applications

M Sahimi, P Tahmasebi - Physics Reports, 2021 - Elsevier
Modeling of heterogeneous materials and media is a problem of fundamental importance to
a wide variety of phenomena with applications to many disciplines, ranging from condensed …

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 …

Delay Fokker-Planck equations, perturbation theory, and data analysis for nonlinear stochastic systems with time delays

TD Frank - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We study nonlinear stochastic systems with time-delayed feedback using the concept of
delay Fokker-Planck equations introduced by Guillouzic, L'Heureux, and Longtin. We derive …

A Monte Carlo method for simulating fractal surfaces

M Zou, B Yu, Y Feng, P Xu - Physica A: Statistical Mechanics and its …, 2007 - Elsevier
A Monte Carlo method is presented for simulating rough surfaces with the fractal behavior.
The simulation is based on power-law size distribution of asperity diameter and self-affine …

Kernel-based regression of drift and diffusion coefficients of stochastic processes

D Lamouroux, K Lehnertz - Physics Letters A, 2009 - Elsevier
To improve the estimation of drift and diffusion coefficients of stochastic processes in case of
a limited amount of usable data due to eg non-stationarity of natural systems we suggest to …

An open source package to perform basic and advanced statistical analysis of turbulence data and other complex systems

A Fuchs, S Kharche, A Patil, J Friedrich, M Wächter… - Physics of …, 2022 - pubs.aip.org
We present an open-source package that helps the user to perform a basic statistical
analysis of a given turbulence dataset. We believe that this package is useful to the entire …

Map** stochastic processes onto complex networks

AH Shirazi, GR Jafari, J Davoudi… - Journal of Statistical …, 2009 - iopscience.iop.org
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 …

Quantitative analysis of random ameboid motion

HU Boedeker, C Beta, TD Frank… - Europhysics …, 2010 - iopscience.iop.org
We quantify random migration of the social ameba Dictyostelium discoideum. We
demonstrate that the statistics of cell motion can be described by an underlying Langevin …

Turbulence, a challenging problem for wind energy

J Peinke, S Barth, F Böttcher, D Heinemann… - Physica A: Statistical …, 2004 - Elsevier
Basic problems arising in the growing use of the wind energy are discussed. We mainly
focus on problems which are related to the turbulent character of the wind. The meaning of …

Stochastic qualifiers of epileptic brain dynamics

J Prusseit, K Lehnertz - Physical review letters, 2007 - APS
We evaluate the capability of reconstructing Fokker-Planck equations for an improved
characterization of electroencephalographic (EEG) recordings from epilepsy patients. We …