Includes bibliographical references (p. [413]-420) and index.
Uniform and correlated mass density fields -- The power spectrum and the classification of stationary stochastic fields -- Fractals -- Multifractals and mass distributions -- Fluctuations in standard cosmological models : a real space view -- Discrete representation of fluctuations in cosmological models -- Galaxy surveys : an introduction to their analysis -- Characterizing the observed distribution of visible matter I : the conditional average density in galaxy catalogs -- Characterizing the observed distribution of visible matter II : number counts and their fluctuations -- Luminosity in galaxy correlations -- The distribution of galaxy clusters -- Biasing a Gaussian random field and the problem of galaxy correlations -- The gravitational field in stochastic particle distributions -- Scaling behavior of the characteristic function for asymptotically small values of k -- Fractal algorithms -- Cosmological models : basic relations -- Cosmological and k-corrections to number counts -- Fractal matter in an open FRW universe -- Errors in full shell estimators -- Non full-shell estimation of two point correlation properties -- Estimation of the power spectrum.