Scaling analysis of galaxy distribution in the Las Campanas Redshift Survey data

Astronomy and Astrophysics – Astrophysics

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Cosmology: Observations, Large-Scale Structure Of Universe, Methods: Statistical

Scientific paper

The Las Campanas Redshift Survey data are used to investigate structures ofthe galaxy number distribution. We construct two volume-limited samples with sizes of 113 × 113 and 126 × 126 h-1 Mpc, and calculate the second- to ninth-order moments with the count-in-cell method. The galaxy distribution at >=30 h-1 Mpc is found to be statistically homogeneous. On the other hand, we find a multifractal scaling at < 30 h-1 Mpc. From the scaling exponent, we obtain the generalized dimension, which decreases from 2 toward 1 as the order is increased from 2 to 9. Galaxies are known to lie, around voids, in planar structures with filamentary dense regions. The present result indicates that these void-filament structures are predominant up to 30 h-1 Mpc. Statistically, they appear to be the largest-scale significant structures in the Universe.

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