CLUSTER-ANALYSIS AND GLOBAL TOPOLOGY OF CMB ANISOTROPY AND POLARIZATION

In this paper we develop the theory of clustering of peaks in a Gaussi an random field of the cosmic microwave background polarization. We ha ve simulated 10(0) x 10(0) sky maps of anisotropy and polarization exp ected from a standard CDM cosmological model with 6' resolution. We ha ve investigated the dependence of the mean length of clusters in aniso tropy and polarization on the cross levels of the maps. We explore the role of non-Gaussian noise in the primordial signal and show that the methods of the cluster analysis and percolation are very useful for t he detection of this noise in the maps of anisotropy and polarization.