On the properties of random multiplicative measures with the multipliers exponentially distributed

Physica A: Statistical Mechanics and its Applications

Volumn 294, Issue 3-4, 2001, Pages 273-282

  Zhou, Wei Xing ^a   Yu, Zun Hong ^a  

^a EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Branching; Classification; Exponential distribution; Phase diagram; Random multifractals

Indexed keywords

ANNEALING; CURVE FITTING; PHASE DIAGRAMS; RANDOM PROCESSES;

EXPONENTIAL DISTRIBUTIONS; RANDOM MULTIFRACTALS;

FRACTALS;

EID: 0035873367     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(01)00115-7     Document Type: Article

References (37)

1. Grassberger P. Phys. Lett. A. 97:1983;227.
2. Hentschel H.G.E., Procaccia I. Physica D. 8:1983;435.
3. Grassberger P. Phys. Lett. A. 107:1985;101.
4. Frisch U., Parisi G. Gil M., Benzi R., Parisi G. Turbulence and Predictability in Geophysical Fluid Dynamics. 1985;84 North-Holland, New York.
5. Halsey T.C., Jensen M.H., Kadanoff L.P., Procaccia I., Shraiman B.I. Phys. Rev. A. 33:1986;1141.
6. Mandelbrot B.B. Physica A. 168:1990;95.
7. Mandelbrot B.B., Evertsz C.J.G., Hayakawa Y. Phys. Rev. A. 42:1990;4528.
8. Riedi R.H. J. Math. Analysis Appl. 189:1995;462.
9. Riedi R.H., Mandelbrot B.B. Adv. Appl. Math. 16:1995;132.
10. Mandelbrot B.B., Evertsz C.J.G. Bunde A., Halvin S. Fractals and Disordered Systems. 1996;366 Springer, Berlin.
11. Mandelbrot B.B. J. Fluid Mech. 62:1974;331.
12. Zhou W.X., Wang Y.J., Yu Z.H. J. East China Uni. Sci. Tech. 26:2000;385.
13. Zhou W.X., Wu T., Yu Z.H. J. East China Uni. Sci. Tech. 26:2000;390.
14. Amitrano C., Coniglio A., Di Liberto F. Phys. Rev. Lett. 57:1986;1016.
15. Cates M.E., Witten T.A. Phys. Rev. A. 35:1987;1809.
16. Meneveau C., Sreenivasan K.R. J. Fluid Mech. 224:1991;429.
17. Chhabra A.B., Sreenivasan K.R. Phys. Rev. A. 43:1991;1114.
18. Mandelbrot B.B. The Fractal Geometry of Nature. 1982;Freeman, New York.
19. Mandelbrot B.B. Pure Appl. Geophys. 131:1989;5.
20. Mandelbrot B.B. Physica A. 163:1990;306.
21. Mandelbrot B.B. Proc. R. Soc. London. A 434:1991;79.
22. Halsey T.C., Leibig M. Phys. Rev. A. 46:1992;7793.
23. Halsey T.C. Lam L. Introduction to Nonlinear Physics. 1997;Springer, New York.
24. Mandelbrot B.B. Pietronero L. Proceedings of the 1988 Erice Workshop on Fractals. 1990;Plenum Press, London.
25. Meneveau C., Sreenivasan K.R. Phys. Lett. A. 137:1989;103.
26. Chernoff H. Ann. Math. Stat. 23:1952;495.
27. Deuschel J.D., Stroock D.W. Large Deviations. 1989;Academic Press, New York.
28. Dembo A., Zeitouni O. Large Deviations: Techniques and Applications. 1998;Springer, New York.
29. W.X. Zhou, T. Wu, Z.H. Yu, Anomalous features arising from randomly multiplicative measures. Fractals (2001), in press.
30. Zhou W.X., Yu Z.H. J. Nonlinear Dynamics Sci. Tech. 7:2000;48.
31. Mandelbrot B.B. Pietronero L. Fractals' Physical Origin and Properties. 1989;3 Plenum Press, New York.
32. Mandelbrot B.B. Limit lognormal multifractal measures. Dotsman E., Ne'eman Y., Voronel A. Frontiers of Physics: Landau Memorial Conference. 1989;309 Pergamon, New York.
33. Mandelbrot B.B. Rosenblatt M., Van Atta C. Statistical Models and Turbulence. Lecture Note in Physics. Vol. 12:1972;Springer, Berlin, New York.
34. Falconer K.J., O'Neil T.C. Proc. R. Soc. London. A 452:1996;1433.
35. Liu S.D., Liu S.S. Introduction to Fractals and Fractal Dimensions. 1993;Meteorological Press, Beijing.
36. Zhou W.X., Zhao T.J., Wu T., Yu Z.H. Chem. Engin. J. 78:2000;193.
37. Zhou W.X., Liu H., Wu T., Yu Z.H. J. Nonlin. Dynam. Sci. and Tech. 7:2000;90.