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The physics of scale-invariant and complex systems is a novel field which is including topics from several disciplines ranging from condensed matter physics to geology, biology, astrophysics and economics. This widespread inter-disciplinary corresponds to the fact that these new ideas allow us to look at natural phenomena in aradically new and original way, eventually leading to unifying concepts independently of the detailed structure of the systems. The objective is the study of complex, scale-invariant, and more ingeneral stochastic structures, that appear both in space and time in avast variety of natural phenomena. New types of collective behaviors arise and their understanding represents one of the most challenging areas in modern Statistical Physics. This book has been conceived as a methodological monograph in which the main methods of modern statistical physics for cosmological structures and density fields (galaxies, Cosmic Microwave Background Radiation, etc.) are exposed. The main purpose of this exposition is to present clearly, to a workable level, these methods, with a certain mathematical accuracy, providing also some paradigmatic examples of applications. This should result in a new and more general framework for the statistical analysis of the many new data concerning the different cosmic structures which characterize the large scale Universe and for the theoretical interpretation and modeling.ISBN - 9783540407454
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Pages : 424
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