Wavelet Transform Analysis of Lyalpha Forests

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Using the wavelet transform, we analyzed the distribution and evolution of QSO's Lyalpha absorption lines. A multiresolution decomposition of Lyalpha forests with respect to the Daubechies 4 wavelet basis was done. The results showed that all considered samples of forest lines deviate from a uniform distribution at significance levels of 2-3 sigma , even in the case where the two-point correlation xi (r) of the lines showed very weak or ~ 0. The position and "richness" of structures (or "clusters") of forest lines up to the 3rd smoothing scales were identified. We found that the evolution of the number N of such clusters can also be approximately described by dN/dz ~ (1+z)(gamma ) . However, the index gamma is found to be scale-dependent: it is smaller for larger scales. For the 3rd decomposition, most samples show gamma < 0. This indicates that the evolution of large scale "clusters" of lines was opposed to the lines themselves. These results do not change significantly if a different wavelet, such as the Mallat wavelet, is used.

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