POWER SPECTRUM FOR FRACTAL DISTRIBUTIONS

Citation
Fs. Labini et L. Amendola, POWER SPECTRUM FOR FRACTAL DISTRIBUTIONS, Astrophysical letters & communications, 36(1-6), 1997, pp. 59-63
Citations number
17
ISSN journal
08886512
Volume
36
Issue
1-6
Year of publication
1997
Pages
59 - 63
Database
ISI
SICI code
0888-6512(1997)36:1-6<59:PSFFD>2.0.ZU;2-1
Abstract
We study the behaviour of the power spectrum (PS) in the case of fract al structures. We show that in this case the main observational featur es of the PS, the large scale flattening and the scaling of the amplit ude with sample depth, are related to finite size effects, due to the fractal distribution of the points. Comparing with the recent results of the PS for the CfA2 we conclude that this catalog is consistent wit h the fractal description.