A multifractal formalism in a probability space

Chaos, Solitons and Fractals

Volumn 27, Issue 1, 2006, Pages 57-73

  Li, Yueling ^a   Dai, Chaoshou ^a  

^a JIANGSU NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; FRACTALS; FUNCTIONS; MATHEMATICAL MODELS; SOLITONS; THEOREM PROVING;

HAUSDORFF MEASURE; MULTIFRACTAL FORMALISM; PROBABILITY SPACE; SPECTRA FUNCTIONS;

PROBABILITY;

EID: 22344432853     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.11.088     Document Type: Article

References (22)

1. P. Billingsley Hausdorff dimension in probability theory Illinois J. Math. 4 1960 187 209
2. P. Billingsley Hausdorff dimension in probability theory II Illinois J. Math. 5 1961 291 298
3. C. Dai, and S.J. Taylor Defining fractal in a probability space Illinois J. Math. 38 1994 480 500
4. F.B. Nasr, I. Bhouri, and Y. Heurteaux The validity of the multifractal formalism: results and examples Adv Math 165 2002 264 284
5. J. Cole Relative multifractal analysis Choas, Solitons & Fractals 11 2000 2233 2250
6. M. Munroe Measure and intengration 1971 Addison-Wesley Reading, MA
7. El Naschie MS. Gravitational instanton in Hilbert space and the mass of high energy elementary particles 2004;20:917-23.
8. ∞ theory and the mass spectrum of high energy particle physics Chaos, Solitons & Fractals 19 2004 209 236
9. M.s. El Naschie VAK,vacuum fluctuation and the mass spectrum of high energy particle physics Chaos, Solitons & Fractals 17 2003 797 807
10. ∞ and the mean dimension of space Chaos, Solitons & Fractals 9 10 1998 1783 1785
11. M.S. El Naschie The average sphere (n) spans a four-dimensional manifold Chaos, Solitons & Fractals 9 10 1998 1789 1792
12. M.S. El Naschie COBE satellite measurement, hyperspheres, superstrings and the dimension of spacetime Chaos, Solitons & Fractals 9 8 1998 1445 1471
13. M.s. El Naschie The Fractal dimension of spacetime-remarks on theoretical derivation and experimental verification Chaos, Solitons & Fractals 1998 9
14. M.S. El Naschie Remarks on superstrings, fractal gravity, Nagasawa's diffusion and Cantorian spacetime Chaos, Solitons & Fractals 8 11 1997 1873 1886
15. M.S. El Naschie The Bethe lattice and the dimension of micro spacetime Chaos, Solitons & Fractals 8 1997 1887 1889
16. M.S. El Naschie Silver mean Hausdorff dimension and Cantor sets Chaos, Solitons & Fractals 4 1994 1861 1870
17. M.S. El Naschie Average symmetry stability and ergodicity of multi-dimensional Cantor sets II Nuo Cim 109 2 1994 149 157
18. L. Nottale Fractal spacetime and microphysics 1993 World Scientific Singapore
19. L. Olsen A multifractal formalism Adv Math 116 1995 82 195
20. G.N. Ord, L. Nottale, and M.S. El Naschie The impact of nonlinear dynamics and fractals on quantum physics and relativity Chaos, Solitons & Fractals 9 7 1998 1009 1010
21. G.N. Ord Fractal spacetime, a geometric analog of relativistic quantum mechanics J Phys A 16 1983 1869 1884
22. S.J. Taylor, and C. Tricot Packing measure and its evaluation for a Brownian path Trans. Amer. Math. Soc. 288 1985 679 699