Markov processes and discrete multifractals

Mathematical Geology

Volumn 31, Issue 4, 1999, Pages 455-469

  Cheng, Qiuming ^a  

^a YORK UNIVERSITY   (Canada)

Author keywords

Carlin type gold deposits; Discrete multifractals; Markov processes; Multiplicative cascade processes; Nevada

Indexed keywords

FRACTAL ANALYSIS; GOLD; MARKOV CHAIN; ORE DEPOSIT;

EID: 0032986236     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007594709250     Document Type: Article

References (30)

1. Agterberg, F. P., 1993, Calculation of the variance of mean values for blocks in regional resource evaluation studies: Nonrenewable Resources, v. 2, no. 4, p. 312-324.
2. Agterberg, F. P., 1994, Fractals, multifractals, and change of support, in Dimitrakopoulos, R., ed., Geostatistics for the next century: Kluwer Academic Publ., Dordrecht, p. 223-234.
3. Agterberg, F. P., 1997, How nature works: The science of self-organized criticality, by Per Bak, book review: Computers & Geosciences, v. 24, no. 2, p. 205-207.
4. Agterberg, F. P., Cheng, Q., and Wright, D. F., 1993, Fractal modeling of mineral deposits, in Elbrond, J., and Tang, X., eds, Application of computers and operations research in the mineral industry: Proc. 24th APCOM Symposium (Montreal), Can. Inst. Mining, Metallurgy and Petroleum Eng., v. 1, p. 43-53.
5. Andrle, R., 1996, Complexity and scale in geomorphology: Statistical self-similarity vs. characteristics scales: Math. Geology, v. 28, no. 3, p. 275-293.
6. Atmanspacher, H., Scheingraber, H., and Wiedenmann, G., 1989, Determination of f (α) for a limited random point set, Phys. Rev., v. 40, p. 3954-3963.
7. Bak, P., 1996, How nature works: Springer-Verlag, New York, 212 p.
8. Cheng, Q., 1994, Multifractal modeling and spatial analysis with GIS: Gold potential estimation in the Mitchell-Sulphurets area, northwestern British Columbia: unpubl. doctoral dissertation, The School of Graduate Studies and Research of Univ., Ottawa, 268 p.
9. Cheng, Q., 1997a, Discrete multifractals: Math. Geology, v. 29, no. 2, p. 245-266.
10. Cheng, Q., 1997b, Fractal•multifractal modeling and spatial analysis, in V. Pawlowsky-Glahn, ed., Proc. IAMG'97: Barcelona, Spain, Sept. 22-27, v. 1, p. 57-72.
11. Cheng, Q., and Agterberg, F. P., 1995, Multifractal modeling and spatial point processes: Math. Geology, v. 27, no. 7, p. 831-845.
12. Cheng, Q., and Agterberg, F. P., 1996a, Multifractal modeling and spatial statistics: Math. Geology, v. 28, no. 1, p. 1-16.
13. Cheng, Q., and Agterberg, A. F., 1996b, Comparison between two types of multifractal modeling: Math. Geology, v. 28, no. 8, p. 1001-1015.
14. Cheng, Q., Agterberg, F. P., and Ballantyne, S. B., 1994, The separation of geochemical anomalies from background by fractal methods: Jour. Geochemical Exploration, v. 51, no. 2, p. 109-130.
15. Chhabra, A. B., and Sreenivasan, K. R., 1991, Negative dimensions: Theory, computation and experiment: Phys Rev. A, v. 43, no. 2, p. 1114-1117.
16. ESRI Inc., 1996, ARC•INFO Unix Version 7.
17. Evertsz, C. J. G., and Mandelbrot, B. B., 1992, Multifractal measures, in Peitgen, H.-O., Jürgens, H., and Saupe, D., eds, Chaos and fractals: Springer-Verlag, New York, p. 922-953.
18. Feder, J., 1988, Fractals Plenum, New York, 283 p.
19. Gupta, V. K., and Waymire, E. C., 1993, A statistical analysis of mesoscale rainfall as a random cascade: American Meteorological Society, v. 32, p. 251-267.
20. Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I., and Shraiman, B. I., 1986, Fractal measures and their singularities. The characterization of strange sets: Phys. Rev. A, v. 33, no. 2, p. 1141-1151.
21. Lavallée, D., Schertzer, D., and Lovejoy, S., 1991, On the determination of the codimension function, in Schertzer, D., and Lovejoy, S., eds, Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, p. 99-109.
22. -6 m, in Schertzer, D., and Lovejoy, S., eds., Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, p. 111-144.
23. Mandelbrot, B. B., 1983, The fractal geometry of nature (updated and augmented edition): W. H. Freeman and Company, New York, 468 p.
24. Mandelbrot, B. B., and Evertsz, C. J. G., 1991, Exactly self-similar left-sided multifractals, in Bunde, A., and Havlin, S., eds, Fractals and disordered systems: Springer Verlag, Heidelberg, p. 323-344.
25. Meneveau, C., and Sreenivasan, K. R., 1987, Simple multifractal cascade model for fully developed turbulence: Phys. Rev. Lett., v. 59, no. 13, p. 1424-1427.
26. Schertzer, D., and Lovejoy, S., 1987, Physically based rain and cloud modeling by anisotropic, multiplicative turbulent cascades: J. Geophys. Res., v. 92, no. D8, p. 9693-9714.
27. Schertzer, D., and Lovejoy, S., eds, 1991a, Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, 318 p.
28. Schertzer, D., and Lovejoy, S., 1991b, Nonlinear geodynamical variability: Multiple singularities, universality and observations, in Schertzer, D., and Lovejoy, D., eds., Non-linear variability in geophysics: Kluwer Academic Publ., Dordrecht, p. 41-82.
29. Schertzer, D., and Lovejoy, S., 1992, Hard and soft multifractal processes: Physica A, v. 185, nos. 1-4, p. 187-194.
30. Stanley, H., and Meakin, P., 1988, Multifractal phenomena in physics and chemistry: Nature, v. 335, no. 6189, p. 405-409.