Table of Contents

Statistical Methods.- Uniform and Correlated Mass Density Fields.- The Power Spectrum and the Classification of Stationary Stochastic Fields.- Fractals.- Multifractals and Mass Distributions.- Applications to Cosmology.- 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.

Reviews

From the reviews: "Any book on an interdisciplinary subject must build up a self-consistent theory able to explain a great number of observations. The concepts introduced must be pertinent for the phenomena in question and sufficiently elaborated in order to extract solid conclusions in an clear and concise way. These requirements have been perfectly fulfilled in the material presented in this book. … the book is highly recommendable due to the insight it gives into the field of cosmic structures, providing sound basis for further research." (J. M. Rubi, Journal of Statistical Physics, 2006)