WAVELET ANALYSIS OF THE MULTIFRACTAL CHARACTER OF THE GALAXY DISTRIBUTION

被引：30

作者：

MARTINEZ, VJ ^{[1
]}

PAREDES, S ^{[1
]}

SAAR, E ^{[1
]}

机构：

[1] TARTU ASTROPHYS OBSERV,E-2444 TORAVERE,ESTONIA

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 1993年 / 260卷 / 02期

关键词：

METHODS; DATA ANALYSIS; GALAXIES; CLUSTERING; LARGE-SCALE STRUCTURE OF UNIVERSE;

D O I：

10.1093/mnras/260.2.365

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We have determined generalized dimensions of the observed distribution of galaxies. Their different values indicate that this distribution may be described as a multifractal. In order to analyse this distribution further, we have applied local wavelet transforms. Wavelets provide us with an interesting tool to analyse the large-scale structure which can be mathematically quantified and intuitively visualized. Comparing the results of these transforms at different dilation factors helps to visualize more clearly the nearly singular nature of the distribution. This method also allows us to determine the range of the local density power laws. The existence of different exponents is evidence for the essentially multifractal nature of the distribution.

引用

页码：365 / 375

页数：11

共 40 条

[1] WAVELET ANALYSIS OF TURBULENCE REVEALS THE MULTIFRACTAL NATURE OF THE RICHARDSON CASCADE [J].