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Mohammad Reza
Rahimi Tabar
Professor of
Physics
Sharif University of Technology
--Book Chapters:
-- Complexity in
the View of Stochastic Processes, R. Friedrich, J. Peinke and M.
Reza Rahimi Tabar, Contribution to Encyclopedia
of Complexity and System Science,
ed. by B. Meyers (Springer Verlag Berlin, 2009)
(in press)
-- Short-Term
Prediction of Medium and Large-Size Earthquakes Based on Markov and Extended
Self-Similarity Analysis of Seismic Data , M. Reza Rahimi Tabar, Muhammad
Sahimi, K. Kaviani, M. Allamehzadeh, , J. Peinke, M. Mokhtari, M.
Vesaghi, M. D. Niry, F. Ghasemi, A. Bahraminasab, S. Tabatabai and F.
Fayazbakhsh., M. Akbari, in:Modeling Critical
and Catastrophic Phenomena in Geoscience: A Statistical Physics Approach, Lecture Notes in Physics, 705, pp. 281-301, Springer
Verlag, Berlin Heidelberg (2007) (Pdf)
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--List of Publications
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-- Selected
Publications:
-- Mapping
Stochastic Processes onto Complex Networks, with A.H. Shirazi, G.R. Jafari, J. Davoudi, J. Peinke and
M. Sahimi, J. Stat. Mech. (2009) P07046 (Pdf) 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-temperature helium turbulence,
the German stock market index (the DAX), and the white noise. The networks
are further studied by contrasting their geometrical properties, such as the
mean-length, diameter, clustering, average number of connection per node. By
comparing the network properties of the investigated original time series
with those for the shuffled and surrogate series, we are able to quantify the
effect of the long-range correlations and the fatness of the probability
distribution functions of the series on the constructed networks. Most
importantly, we demonstrate that the time series can be reconstructed with
high precisions by a simple random walk on their corresponding networks. (Pdf) ______________________________________________________________________________________________________________
--Turbulencelike
Behavior of Seismic Time Series, P. Manshour, S. Saberi, M. Sahimi, J.
Peinke, Amalio F. Pacheco, M. Reza Rahimi Tabar, Phys. Rev. Lett. 102,
014101 (2009) (Pdf).
A grand challenge
in geophysics has been developing a method for predicting when a significant
earthquake may occur. Our team has developed a new method that may go a long
way towards this goal. Using the method, we analyzed the fluctuations of the
detrended increments of the time series for Earth's vertical velocity for
many earthquakes. Our analysis reveals a significant change in the nature of
the probability density functions (PDF) of the series' increments. For a
large earthquake the time at which the PDF undergoes a transition from a
Gaussian to a non-Gaussian is 5-10 hours. The key quantity that signals the
transition is the parameter Lambda^2 that appears in the PDF. Far from the
earthquake, Lambda^2 is almost zero, but close to it suddenly increases,
signaling the transition. The PDF's flatness also exhibits the same trends. Therefore
the transition in the PDF, and the changes in Lambda^2 and the PDF's
flatness, all happening at the same time, represent a new precursor for
detecting impending significant earthquakes. A key insight is that, due to
localization of elastic waves, only stations close to the epicenter provide
the alert. (Pdf) --The power point presentation: (Pdf) --Highlight of the paper in
German Media ______________________________________________________________________________________________________________
--The
Taylor frozen hypothesis in Burgers turbulence, with A. Bahraminasab, M.
D. Niry, J. Davoudi, A. A. Masoudi, and K. R. Sreenivasan, Phys.
Rev. E 77 (Rapid Communication) 065302 (2008)
(Pdf). --Analysis of Nonstationary
Stochastic Processes with Application to the Fluctuations in the Oil
Price, with,F. Ghasemi, M. Sahimi, J. Peinke,
R.Friedrich, G. Reza Jafari, M. Reza Rahimi Tabar, Phys. Rev. E 75, (Rapid
Communication), 060102(2007) (Pdf)
--Localization
of elastic waves in heterogeneous media with off-diagonal disorder and
long-range correlations, with, F. Shahbazi, Alireza
Bahraminasab,S. Mehdi Vaez Allaei, and Muhammad Sahimi, Phys.
Rev. Lett. 94, 165505 (2005) (Pdf)
--Stochastic
Analysis and Regeneration of Rough Surfaces, with, G.
R. Jafari, S. M. Fazeli, F. Ghasemi, S. M. Vaez Allaei, A. Iraji zad and G.
Kavei,
Phys. Rev. Lett. 91 (2003) 226101 (Pdf)
--Singularity
Time Scale of the Kardar-Parisi-Zhang Equation in the Strong Coupling Limit
in 2+1 dimensions, with, F. Shahbazi, and A. A. Masoudi, Journal
of Statistical Physics 112, 437 (2003) (Pdf)
--Statistical
Theory of the Kardar-Parisi-Zhang Equation in 1+1 Dimension, with, A.A. Masoudi, F. Shahbazi, and J. Davoudi, Phys.
Rev. E (65) 026132 (2002)(Pdf)
--Theoretical
Model for Kramers-Moyal's description of Turbulence Cascade, with, Jahanshah Davoudi, Phys. Rev. Lett. 82 (1999) 1680
(Pdf)
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Last
Update Jan. 2009, M.D. Niry
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