Astron. Astrophys. 351, 405-412 (1999)

Nature of clustering in the Las Campanas redshift survey

S. Bharadwaj ¹, A.K. Gupta ² and T.R. Seshadri <sup>3

1</sup> Department of Physics and Meteorology and Center for Theoretical Studies, I.I.T. Kharagpur 721 302, India (somnath@phy.iitkgp.ernet.in)
² J.K. Institute of Applied Physics, Allahabad University, Allahabad 221002, India (ashok@mri.ernet.in)
³ Mehta Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India (seshadri@mri.ernet.in)

Received 10 February 1998 / Accepted 23 June 1999

Abstract

We have carried out a multi-fractal analysis of the distribution of galaxies in the three Northern slices of the Las Campanas Redshift Survey (LCRS). Our method takes into account the selection effects and the complicated geometry of the survey. In this analysis we have studied the scaling properties of the distribution of galaxies on length scales from to . Our main results are: (1) the distribution of galaxies exhibits a multi-fractal scaling behaviour over the scales to , and, (2) it is consistent with a homogeneous distribution on the scales to . We conclude that the distribution of galaxies in the LCRS is consistent with the universe being homogeneous at large scales and the transition to homogeneity occurs somewhere in the range to .

Key words: surveys cosmology: observations cosmology: large-scale structure of Universe

Send offprint requests to: T.R. Seshadri

© European Southern Observatory (ESO) 1999

Online publication: November 3, 1999

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