Non-extensive random walks

Physica A: Statistical Mechanics and its Applications

Volumn 358, Issue 2-4, 2005, Pages 289-298

  Anteneodo, C ^a  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Anomalous diffusion; Non extensivity; Random walks

Indexed keywords

CHARACTERIZATION; GAUSSIAN NOISE (ELECTRONIC); PROBLEM SOLVING; RANDOM PROCESSES;

ANOMALOUS DIFFUSIONS; GAUSSIAN DISTRIBUTIONS; NON-EXTENSIVITY; RANDOM-WALKS;

STATISTICAL METHODS;

EID: 26444593266     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2005.06.052     Document Type: Article

References (47)

1. S. Abe, Y. Okamoto (Eds.), Nonextensive statistical mechanics and its applications, Lecture Notes in Physics, vol. 560, Springer, Heidelberg, 2001
2. G. Kaniadakis, M. Lissia, A. Rapisarda (Eds.), Non-extensive thermodynamics and physical applications, Physica A 305 (2002)
3. H.L. Swinney, C. Tsallis (Eds.), Anomalous distributions, nonlinear dynamics and nonextensivity, Physica D 193 (2004)
4. M. Gell-Mann, C. Tsallis (Eds.), Nonextensive Entropy - Interdisciplinary Applications, Oxford University Press, New York, 2004.
5. C. Tsallis J. Stat. Phys. 52 1988 479
6. A. Rényi Probability Theory 1970 North-Holland Publishers Amsterdam
7. E.K. Lenzi, R.S. Mendes, and L.R. da Silva Physica A 280 2000 337
8. G.L. Ferri, S. Martínez, and A. Plastino Physica A 347 2005 205
9. K.S. Fa Physica A 295 2001 242
10. E. Erdemir, and B. Tanatar Physica A 322 2003 449
11. C.N. Baroud, and H.L. Swinney Physica D 184 2003 21
12. C. Beck, G.S. Lewis, and H.L. Swinney Phys. Rev. E 63 2001 035 303
13. K.E. Daniels, C. Beck, and E.B. Bodenschatz Physica D 193 2004 208
14. L. Borland Phys. Rev. Lett. 89 2002 098 701
15. C. Tsallis, C. Anteneodo, L. Borland, and R. Osorio Physica A 324 2003 89
16. W. Feller An Introduction to Probability Theory and its Applications vols. 1,2 1968 Wiley New York
17. P. Lévy Théorie de l'addition des variables aléatoires 1954 Gauthier-Villars Paris
18. P. Lévy, Processus stochastiques et mouvement brownien, Gauthier-Villars, Paris, 1948
19. J.P. Bouchaud, and A. Georges Phys. Rep. 195 1990 127
20. R. Metzler, and J. Klafter Phys. Rep. 339 2000 1
21. A.R. Plastino, and A. Plastino Physica A 222 1995 347
22. C. Tsallis, and D.J. Bukman Phys. Rev. E 54 1996 1
23. L.A. Peletier, in: H. Amann, N. Bazley, K. Kirchgassner (Eds.), Applications of Nonlinear Analysis in the Physical Sciences, Pitman, London, 1981
24. D.H. Zanette Braz. J. Phys. 29 1999 108
25. L. Borland Phys. Rev. E 57 1998 6634
26. H. Spohn J. Phys. I 3 1993 69
27. J. Buckmaster Fluid Mech. 81 1977 735
28. M.E. Gurtin, and R.C. MacCamy Math. Biosci. 33 1977 35
29. S. Benachour, P. Chassaing, B. Roynette, P. Vallois, Processus associés à l'équation des milieux poreux, Annali della scuola normale superiore di Pisa, Scienze Fisiche e Matematiche, serie IV, vol. XXIII, fasc. 4, 1996.
30. E.M.F. Curado, and F.D. Nobre Phys. Rev. E 67 2003 021 107
31. F.D. Nobre, E.M.F. Curado, and G. Rowlands Physica A 334 2004 109
32. H. Risken The Fokker-Planck Equation Methods of Solution and Applications 1984 Springer New York
33. C.W. Gardiner Handbook of Stochastic Methods 1994 Springer Berlin
34. S.X. Venkataramani, T.M. Antonsen, E. Ott, and J.C. Sommerer Physica D 96 1996 66
35. M.R. Young, and S. Singh Phys. Rev. A 38 1998 238
36. P. Hanggi Phys. Lett. A 78 1980 304
37. A. Krawieki, J.A. Holyst, and D. Helbing Phys. Rev. Lett. 89 2001 158 701
38. C. Anteneodo, R. Riera, Phys. Rev. E (2005), in press.
39. H. Kesten Acta Math. 131 1973 207
40. A. Schenzle, and H. Brand Phys. Rev. A 20 1979 1628 and references therein
41. J.M. Deutsch Physica A 208 1994 433
42. G. Kaniadakis, and G. Lapenta Phys. Rev. E 62 2000 3246
43. R.N. Mantegna, and H.E. Stanley An Introduction to Econophysics 2000 Cambridge University Press New York
44. C. Anteneodo, and C. Tsallis J. Math. Phys. 44 2003 5194
45. H. Sakaguchi J. Phys. Soc. Jpn. 70 2001 3247
46. C. Beck, and E.G.D. Cohen Physica A 322 2003 267
47. C. Tsallis, M. Gell-Mann, Y. Sato, preprint cond-mat/0502274.