Wavelet Transform Analysis of Ly$\alpha$ Forests
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**Session 14 -- Lyman Alpha Clouds**
*Display presentation, Monday, 9, 1995, 9:20am - 6:30pm*

## [14.04] Wavelet Transform Analysis of Ly$\alpha$ Forests

*Jesus Pando and Li-Zhi Fang (Univ. of Arizona)*

Using the wavelet transform, we analyzed the distribution and
evolution of QSO's Ly$\alpha$ absorption lines. A multiresolution
decomposition of Ly$\alpha$ 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 $\sim 0$. 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 $dN/dz \propto
(1+z)^{\gamma}$. 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 themself. These results
do not change significantly if a different wavelet, such as the Mallat
wavelet, is used.

**Monday
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