Nature of Clustering of Large Scale Structures

This thesis focuses on characterizing the distribution of points and galaxies using multifractal analysis. In this attempt the main emphasis is on calculating the Minkowski-Bouligand fractal dimension (Dq) of the distribution of points over different scales and hence finding the scale of homogeneity of the distribution. Effects, of finite size of the sample and clustering in the distribution, on the Dq have been studied in detail. The assumption that the large scale distribution of matter in the Universe is homogeneous has been verified with multifractal analysis of the data from Sloan Digital Sky Survey.