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Fig. 8

image

Reconstructed correlation functions for different neuron-samples selected from the SDSS data sample by the SOM. In particular we depict the correlations for the logarithm of the stellar mass log (M), the r-band absolute magnitude M0.1r and the g-r color. In addition, each figure shows the data space position of the BMU corresponding to the sub-sample of data used for reconstruction. We see that the correlation of the stellar mass log (M) and the absolute magnitude M0.1r with the density field log (1 + δ) appear to be similar in different regions of the LSS. The upper two panels show reconstructions for sub-samples of heavy, red galaxies in high density regions classified as clusters (halos) according to the corresponding eigenvalues. The bottom-left panel belongs to heavy, red galaxies in low density regions classified as filaments and the bottom-right panel belongs to light, blue galaxies in regions classified as sheet (or filament since λ2 ≈ 0). We adjusted the range of the y-axis in the last panel in order to improve the visibility of the correlation structure. Colors are defined according to the color classification code of Li et al. (2006).

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