Wavelet Analysis of OneDimensional Cosmological Density Fluctuations.pdfVIP

YITP-95/KUCP-0082 September 1995 Wavelet Analysis 5 of 9 One-Dimensional Cosmological Density Fluctuations 9 1 p e S 1 Yoshi Fujiwara 2 2 v Yukawa Institute for Theoretical Physics, 2 Kyoto University, Kyoto 606, Japan 0 1 9 0 5 9 Jiro Soda / h p - Department of Fundamental Sciences, FIHS, o r Kyoto University, Kyoto 606, Japan t s a : v i X r a Abstract Wavelet analysis is proposed as a new tool for studying the large-scale structure formation of the universe. To reveal its usefulness, the wavelet decomposition of one-dimensional cosmological density fluctuations is performed. In contrast with the Fourier analysis, the wavelet analysis has advantage of its ability to keep the in- formation for location of local density peaks in addition to that for their scales. The wavelet decomposition of evolving density fluctuations with various initial conditions is examined. By comparing the wavelet analysis with the usual Fourier analysis, we conclude that the wavelet analysis is promising as the data analysis method for the Sloan Digital Sky Survey and COBE. 1 Introduction Recent large-scale sky survey (e.g. CfA) reveals the fertile large-scale structure of the universe [1]. It is natural to consider it as a consequence of gravitational instability from small-amplitude primordial fluctua