Mapping stochastic processes onto complex networks

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2009, Issue 7, 2009, Pages

  Shirazi, A H ^a   Jafari, G Reza ^b,c   Davoudi, J ^d   Peinke, J ^e   Rahimi Tabar, M Reza ^e,f   Sahimi, Muhammad ^g  

^a TEHRAN UNIVERSITY OF MEDICAL SCIENCES   (Iran)

^b SHAHID BEHESHTI UNIVERSITY   (Iran)

^c INSTITUTO DE FÍSICA INTERDISCIPLINAR Y SISTEMAS COMPLEJOS IFISC CSIC UIB   (Spain)

^d UNIVERSITY OF TORONTO   (Canada)

^e UNIVERSITY OF OLDENBURG   (Germany)

^f SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^g University of Southern California ^*  (United States)

Author keywords

Networks; Random graphs; Stochastic processes

Indexed keywords

EID: 70449413945     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/07/P07046     Document Type: Article

References (31)

1. Albert R and Barabasi A L 2002 Rev. Mod. Phys. 74 47
2. Dorogovtsev S N and Mendes J F F 2003 Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford: Oxford University Press)
3. Cohen R and Havlin S 2008 Complex Networks: Stability, Structure and Function (Cambridge: Cambridge University Press)
4. Erdös P and Reyni A 1959 Publ. Math. 6 290
5. Erdös P and Reyni A 1960 Publ. Math. Inst. Hung. Acad. Sci. 5 17
6. Palla G, Barabasi A L and Vicsek T 2007 Nature 446 664
7. Mantegna R and Stanley H E 2000 An Introduction to Econophysics: Correlations and Complexities in Finance (New York: Cambridge University Press)
8. Friedrich R, Peinke J and Rahimi Tabar M R 2009 Encyclopedia of Complexity and System Science ed R Meyers (Berlin: Springer)
9. Scala A, Amaral L A N and Barthelemy M 2001 Europhys. Lett. 55 594
10. Rao F and Caflish A 2004 J. Mol. Biol. 342 299
11. Shreim A, Grassberger P, Nadler W, Samuelsson B, Socolar J E S and Paczuski M 2007 Phys. Rev. Lett. 98 198701
12. Lacasa L et al 2008 Proc. Nat. Acad. Sci. 105 4972
13. Zhang J and Small M 2006 Phys. Rev. Lett. 96 238701
14. Friedrich R and Peinke J 1997 Phys. Rev. Lett. 78 863
15. Jafari G R, Fazlei S M, Ghasemi F, Vaez Allaei S M, Rahimi Tabar M R, Iraji Zad A and Kavei G 2003 Phys. Rev. Lett. 91 226101
16. Jafari G R, Mahdavi S M, Iraji Zad A and Kaghazchi P 2005 Surf. Interface Anal. 37 641
17. Ghasemi F, Sahimi M, Peinke J, Friedrich R, Jafari G R and Rahimi Tabar M R 2007 Phys. Rev. E 75 060102(R)
18. Jafari G R, Bahraminasb A and Norouzzdeh P 2007 Int. J. Mod. Phys. C 18 1223
19. Fazeli S M, Shirazi A H and Jafari G R 2008 New J. Phys. 10 083020
20. Kimiagar S, Jafari G R and Rahimi Tabar M R 2008 J. Stat. Mech. P02010
21. Ghasemi F, Bahraminasab A, Movahed M S, Rahvar S, Sreenivasan K R and Rahimi Tabar M R 2006 J. Stat. Mech. P11008
22. Lück St, Renner Ch, Peinke J and Friedrich R 2006 Phys. Lett. A 359 335
23. Riseken H 1984 The Fokker-Planck Equation (Berlin: Springer)
24. Newman M E J 2003 SIAM Rev. 45 167
25. Frisch U 1995 Turbulence, The Legacy of A N Kolmogorov (Cambridge: Cambridge University Press)
26. Rice S O 1944 Bell Syst. Tech. J. 23 282
27. Rice S O 1945 Bell Syst. Tech. J. 24 46
28. Shahbazi F, Sobhanian S, Rahimi Tabar M R, Khorram S, Forootan G R and Zahed H 2003 J. Phys. A: Math. Gen. 36 2517
29. Jafari G R, Movahed M S, Fazeli S M, Rahimi Tabar M R and Masoudi S F 2006 J. Stat. Mech. P06008
30. Bahraminasab A, Sadegh Movahed M, Nasiri S D, Masoudi A A and Sahimi M 2006 J. Stat. Phys. 124 1471
31. Vahabi M and Jafari G R 2007 Physica A 385 583