This book has its roots in a series of collaborations in the last decade at the interface between statistical physics and cosmology. The speci?c problem which initiated this research was the study of the clustering properties of galaxies as revealed by large redshift surveys, a context in which concepts of modern statistical physics (e. g. scale-invariance, fractality. . ) ?nd ready application. In recent years we have considerably broadened the range of problems in cosmology which we have addressed, treating in particular more theoretical issues about the statistical properties of standard cosmological models. What is common to all this research, however, is that it is informed by a perspective and methodology which is that of statistical physics. We can say that, beyond its speci?c scienti?c content, this book has an underlying thesis: such interdisciplinary research is an exciting playground for statistical physics, and one which can bring new and useful insights into cosmology. The book does not represent a ?nal point, but in our view, a marker in the development of this kind of research, which we believe can go very much further in the future. Indeed as we complete this book, new developments - which unfortunately we have not been able to include here - have been made on some of the themes described here. Our focus in this book is on the problem of structure in cosmology.

This Volume 44 of Advances in Solid State Physics contains the written versions of most of the invited lectures of the Spring Meeting of the Condensed Matter Physics section of the Deutsche Physikalische Gesellschaft held from March 8 to 12, 2004 in Regensburg, Germany. Many of the topical talks given at the numerous and very lively symposia are also included. They have covered extremely interesting and timely subjects. Thus the book truly reflects the status of the field of solid state physics in 2004, and indicates its importance, not only in Germany but also internationally.

This concise introduction to the key concepts and tools of modern statistical mechanics is self-contained. Combining analytical and numerical techniques, it also covers advanced topics such as non-relativistic quantum field theory. After introducing classical analytical techniques, the authors present important numerical methods and a diverse range of applications. Quantum statistical mechanics is then analyzed and applied to topics in astrophysics and cosmology. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced students in physics, chemistry and mathematics.

In a simple manner, explains the frontiers of astronomy, how fractals appear in cosmic physics, offers a personal view of the history of the idea of self-similarity and of cosmological principles and presents the debate which illustrates how new concepts and deeper observations reveal unexpected aspects of Nature.

🌌 Unveil the Mysteries of the Cosmos with Our Book Bundle! 📚 Are you ready to embark on an epic journey through the realms of theoretical physics? Dive into the captivating world of 🌟 String Theory, 🕳️ Black Holes, 🌌 Holographic Universes, and 🧮 Mathematical Physics with our exclusive book bundle! 📘 Book 1: String Theory Demystified 🧬 Discover the secrets of the universe with "String Theory Demystified: A Beginner's Guide to Understanding the Basics." 🪀 Unravel the mysteries of quantum mechanics and delve into the elegant framework of string theory. From hidden dimensions to vibrating strings, this book will take you on an exhilarating voyage through the fabric of spacetime. 📕 Book 2: Exploring Black Holes 🌀 Embark on a cosmic odyssey with "Exploring Black Holes: Journey into the Depths of Spacetime." 🌠 Journey to the heart of these enigmatic cosmic phenomena and uncover the secrets of their formation, gravitational pull, and event horizons. 🌌 Prepare to be awestruck by the wonders of the universe! 📗 Book 3: The Holographic Universe Unveiled 🌈 Unlock the mysteries of reality with "The Holographic Universe Unveiled: Bridging Quantum Theory and Reality." 🌟 Explore the revolutionary concept of holography and its profound implications for our understanding of the cosmos. From quantum entanglement to spacetime emergence, this book will challenge your perceptions of the universe. 📙 Book 4: Advanced Mathematical Physics 🧠 Dive deep into the mathematical foundations of modern physics with "Advanced Mathematical Physics: From Strings to Multiverse Cosmology." 🧮 Explore the algebraic structures of string theory, the geometric formalism of general relativity, and the topological concepts of quantum field theory. 🌐 Prepare to expand your mind and push the boundaries of knowledge! Don't miss out on this extraordinary opportunity to explore the wonders of the cosmos and deepen your understanding of the universe. 🌌 Order our book bundle today and embark on an adventure through the frontiers of theoretical physics! 🚀

Modern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research.

A fundamental, profound review of the key issues relating to the early universe and the physical processes that occurred in it. The interplay between cosmic microwave background radiation, large scale structure, and the dark matter problem are stressed, with a central focus on the crucial issue of the phase transitions in the early universe and their observable consequences: baryon symmetry, baryogenesis and cosmological fluctuations. There is an interplay between cosmology, statistical physics and particle physics in studying these problems, both at the theoretical and the experimental / observational levels. Special contributions are devoted to primordial and astrophysical black holes and to high energy cosmic rays and neutrino astrophysics. There is also a special section devoted to the International Space Station and its scientific utilization.