63 citations · 359 across the 29 of their papers we have counts for
8 papers · 1 filter
Data-Driven Reconstruction of Stochastic Dynamical Equations based on Statistical Moments
Farnik Nikakhtar, Laya Parkavousi, Muhammad Sahimi +3
Stochastic processes are encountered in many contexts, ranging from generation sizes of bacterial colonies and service times in a queueing system to displacements of Brownian parti…
Percolation and conductivity in evolving disordered media
Carl Fredrik Berg, Muhammad Sahimi
Percolation theory and the associated conductance networks have provided deep insights into the flow and transport properties of a vast number of heterogeneous materials and media.…
Numerical Simulation and the Universality Class of the KPZ Equation for Curved Substrates
Roya Ebrahimi Viand, Sina Dortaj, Seyyed Ehsan Nedaaee Oskoee +2
The Kardar-Parisi-Zhang (KPZ) equation for surface growth has been analyzed for over three decades. Some experiments indicated the power law for the interface width, …
Effect of heterogeneity and spatial correlations on the structure of tumor invasion front in cellular environments
Youness Azimzade, Abbas Ali Saberi, Muhammad Sahimi
Analysis of invasion front has been widely used to decipher biological properties, as well as the growth dynamics of the corresponding populations. Likewise, the invasion front of…
Exact enumeration approach to first-passage time distribution of non-Markov random walks
Shant Baghram, Farnik Nikakhtar, M. Reza Rahimi Tabar +4
We propose an analytical approach to study non-Markov random walks by employing an exact enumeration method. Using the method, we derive an exact expansion for the first-passage ti…
Exact Analysis of Level-Crossing Statistics for (d+1)-Dimensional Fluctuating Surfaces
A. Bahraminasab, M. Sadegh Movahed, S. D. Nassiri +2
We carry out an exact analysis of the average frequency in the direction of positive-slope crossing of a given level such that, , of…
Localization of elastic waves in heterogeneous media with off-diagonal disorder and long-range correlations
F. Shahbazi, Alireza Bahraminasab, S. Mehdi Vaez Allaei +2
Using the Martin-Siggia-Rose method, we study propagation of acoustic waves in strongly heterogeneous media which are characterized by a broad distribution of the elastic constants…
Regeneration of Stochastic Processes: An Inverse Method
J. Peinke, M. Reza Rahimi Tabar, Muhammad Sahimi +1
We propose a novel inverse method that utilizes a set of data to construct a simple equation that governs the stochastic process for which the data have been measured, hence enabli…