Hostname: page-component-848d4c4894-x5gtn Total loading time: 0 Render date: 2024-05-15T10:26:12.270Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Use of Fractal Concepts in Analysis of Distributions of Galaxies

Published online by Cambridge University Press:  25 May 2016

I.B. Vavilova
I.B. Vavilova*
Affiliation:
Astronomical Observatory of Kiev University, Observatornaya str. 3, Kiev 254053 Ukraine, e-mail: vil%rosa.kiev.ua@relay.ua.net

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The well- grounded polemics about the fractal structure of the Universe and a new cosmological picture which appears in connection with this, in first instance the absence of any evidence for homogenization up to present observational limits 200h−1 Mpc, have been detailed at the work by Coleman, Pietronero (1992). Two versions on nature of fractal pattern of the galaxy distribution in the observed universe also are now: it behaves like a simple homogeneous fractal (Pietronero 1987; Coleman et al. 1988) and as a multifractal - fractal having more than one scaling index (Jones et al. 1988; Martinez, Jones 1990; Martinez et al. 1990; Borgani et al. 1993 (with the good review for matter of above)).

This work does not play decisively into hands of these versions so the fractal concepts, exactly a selfsimilarity and multifractal, were applied here for the analysis of two - dimensional distribution of the bright galaxies and dwarf galaxies of the low surface brightness (LSBD) belonging to the Local Supercluster (LS). But if the observed universe holds the fractal structure, so it is useful to trace over the lower fractal pattern on the small scales of clustering of galaxies within the framework of the known superclusters and, in the first instance, within the local overdensity of galaxies. This work is a preliminary before preparing one with the same analysis of three- dimensional distribution of galaxies of LS.

Type
Part II: Contributed Papers
Information
Symposium - International Astronomical Union , Volume 168: Examining the Big Bang and the Diffuse Background Radiations , 1996 , pp. 473 - 475
Copyright
Copyright © Kluwer 1996 

References

Binggeli, B., Tammann, G.A. & Sandage, A., 1987. Astron. J., 94, 251.Google Scholar
Borgani, S., Plionis, M., & Valdarnini, R., 1993. Astrophys. J., 404, 21.CrossRefGoogle Scholar
Coleman, P.H., Pietronero, L., 1992. Physics Rep., 213, 313.Google Scholar
Coleman, P.H., Pietronero, L. & Sanders, R.H., 1988. Astron. & Astrophys., 200, L32.Google Scholar
Feder, J., 1988. Fractals (Plenum Press, New York).Google Scholar
Ferguson, H.C., Sandage, A., 1990. Astron.J., 100, 1.Google Scholar
Ferguson, H.C., Sandage, A., 1991. Astron.J, 101, 765.Google Scholar
Jones, B.J.T., Martinez, V.J., Saar, E., Einasto, J., 1988. Astrophys. J., 332, L1.Google Scholar
Karachentseva, V.E., Sharina, M.E., 1988. Commun. of SAO, 88, 1.Google Scholar
Karachentseva, V.E., Vavilova, I.B., 1994a. Bulletin of SAO, 37, 98.Google Scholar
Karachentseva, V.E., Vavilova, I.B., 1994b. In “Dwarf galaxies”, ESO/OHP Workshop, France, 6-9 Sept., 1993, eds. Meylan, J. and Prujniel, P., ESO Conf. & Workshop Proc., No. 49, p.91.Google Scholar
Martinez, V.J. & Jones, B.J.T., 1990. Mon. Not. R. astron. Soc., 242, 517.Google Scholar
Martinez, V.J., Jones, B.J.T., Domingues-Tenreiro, R., van de Weygaert, R., 1990. Astrophys. J., 357, 50.CrossRefGoogle Scholar
Pietronero, L., 1987. Physica A, 144, 257.Google Scholar