Zipf's law for fractal voids and a new void-finder

European Physical Journal B

Volumn 47, Issue 1, 2005, Pages 93-98

  Gaite, J ^a  

^a INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; GALAXIES; GEOMETRY;

FRACTAL POINT DISTRIBUTIONS; STOCHASTIC GEOMETRY; VORONOI TESSELLATIONS;

FRACTALS;

EID: 25444490364     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2005-00306-1     Document Type: Article

References (18)

1. B.B. Mandelbrot, The fractal geometry of nature (W.H. Freeman and Company, NY, 1977)
2. J. Gaite, S.C. Manrubia, Mon. Not. R. Astron. Soc. 335, 977 (2002)
3. J. Einasto, M. Einasto, M. Gramann, Mon. Not. R. Astron. Soc. 238, 155 (1989);
4. G. Kauffmann, A.P. Fairall, Mon. Not. R. Astron. Soc. 248, 313 (1991)
5. H. El-Ad, T. Piran, Astrophys. J. 491, 421 (1997)
6. J. Aikio, P. Mähönen, Astrophys. J. 497, 534 (1998)
7. F. Hoyle, M.S. Vogeley, Astrophys. J. 566, 641 (2002)
8. G.K. Zipf, Human behavior and the principle of least effort (Addison-Wesley Press Inc., Massachusetts, 1949)
9. D. Sornette, Critical phenomena in natural sciences (Springer-Verlag, Berlin, 2000)
10. F.S. Labini, M. Montuori, L. Pietronero, Phys. Rep. 293, 61 (1998);
11. V.J. Martínez, Science 284, 445 (1999);
12. B.J. Jones, V.J. Martínez, E. Saar, V. Trimble, Rev. Mod. Phys. 76, 1211 (2004);
13. A. Gabrielli, F.S. Labini, M. Joyce, L. Pietronero, Statistical Physics for Cosmic. Structures (Springer, 2005)
14. G.E. Edgar, Measure, Topology and Fractal Geometry (Springer-Verlag, New York, 1990)
15. R. Blumenfeld, R.C. Ball, Phys. Rev. E 47, 2298 (1993)
16. R. van de Weygaert, Modern Theoretical and Observational Cosmology, edited by M. Plionis, S. Cotsakis, Vol. 276 (Kluwer, Dordrecht, 2002), 119
17. R.F. Voss, Phys. Scripta, T13, 27 (1986);
18. The Science of Fractal Images, edited by H.-O. Peitgen, D. Saupe, (Springer-Verlag, Berlin, 1988)