M. Bottaccio et al 2004 Europhys. Lett. 66 610 doi:10.1209/epl/i2003-10244-6
M. Bottaccio1,2, M. Montuori1,2 and L. Pietronero1,3,2
Show affiliationsPrecise analyses of the statistical and scaling properties of galaxy distribution are essential to elucidate the large-scale structure of the universe. Given the ongoing debate on its statistical features, the development of statistical tools permitting to discriminate accurately different spatial patterns is highly desiderable. This is specially the case when non-fractal distributions have power law two-point correlation functions, which are usually signatures of fractal properties. Here we review some possible methods used in the literature and introduce a new variable called "scaling gradient". This tool and the conditional variance are shown to be effective in providing an unambiguous way for such a distinction. Their application is expected to be of outmost importance in the analysis of upcoming galaxy catalogues.
02.50.-r Probability theory, stochastic processes, and statistics
98.65.-r Galaxy groups, clusters, and superclusters; large scale structure of the Universe
Issue 4 (May 2004)
Received 2 July 2003, accepted for publication 23 March 2004, in final form 23 March 2004
M. Bottaccio et al 2004 Europhys. Lett. 66 610
B. F. Lane et al 2001 ApJ 551 L81
K. Ishibashi et al. 1999 ApJ 524 983
T D Sachs and C D Janney 1977 Phys. Med. Biol. 22 327
Guo-Ping Zhou 1989 Phys. Scr. 40 698
David A. Chamulak et al 2007 ApJ 655 L93
E Petridou et al 2009 Phys. Educ. 44 589
P Homolka and R Nowotny 2002 Phys. Med. Biol. 47 N47
Tesla E. Jeltema et al. 2007 ApJ 658 865
S Karsch et al 2007 New J. Phys. 9 415