Precise 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.

Fractals vs. halos:Asymptotic scaling without fractal properties / M., Bottaccio; M., Montuori; Pietronero, Luciano. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 66:(2004), pp. 610-614. [10.1209/epl/i2003-10244-6]

Fractals vs. halos:Asymptotic scaling without fractal properties

PIETRONERO, Luciano
2004

Abstract

Precise 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.
2004
UNIVERSE, GALAXIES, DENSITY, CLUSTERS
01 Pubblicazione su rivista::01a Articolo in rivista
Fractals vs. halos:Asymptotic scaling without fractal properties / M., Bottaccio; M., Montuori; Pietronero, Luciano. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 66:(2004), pp. 610-614. [10.1209/epl/i2003-10244-6]
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1743
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 3
social impact