Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-01-29
Astronomy and Astrophysics
Astrophysics
Latex2e File. 55 pages, 20 ps figures included. To appear in the Proceedings of the 5th Erice Chalonge School on Astrofundamen
Scientific paper
We present a detailed review of large-scale structure (LSS) study using the discrete wavelet transform (DWT). After describing how one constructs a wavelet decomposition we show how this bases can be used as a complete statistical discription of LSS. Among the topics studied are the the DWT estimation of the probability distribution function; the reconstruction of the power spectrum; the regularization of complex geometry in observational samples; cluster identification; extraction and identification of coherent structures; scale-decomposition of non-Gaussianity, such as spectra of skewnes and kurtosis and scale-scale correlations. These methods are applied to both observational and simulated samples of the QSO Lyman-alpha forests. It is clearly demonstrated that the statistical measures developed using the DWT are needed to distinguish between competing models of structure formation. The DWT also reveals physical features in these distributions not detected before. We conclude with a look towards the future of the use of the DWT in LSS.
Fang Li-zhi
Pando Jesus
No associations
LandOfFree
Large-scale Structures revealed by Wavelet Decomposition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Large-scale Structures revealed by Wavelet Decomposition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Large-scale Structures revealed by Wavelet Decomposition will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-17530