Combining research methods from various areas of mathematics and physics, Probabilistic Models of Cosmic Backgrounds describes the isotropic random sections of certain fiber bundles and their applications to creating rigorous mathematical models of both discovered and hypothetical cosmic backgrounds.
Previously scattered and hard-to-find mathematical and physical theories have been assembled from numerous textbooks, monographs, and research papers, and explained from different or even unexpected points of view. This consists of both classical and newly discovered results necessary for understanding a sophisticated problem of modelling cosmic backgrounds.
The book contains a comprehensive description of mathematical and physical aspects of cosmic backgrounds with a clear focus on examples and explicit calculations. Its reader will bridge the gap of misunderstanding between the specialists in various theoretical and applied areas who speak different scientific languages.
The audience of the book consists of scholars, students, and professional researchers. A scholar will find basic material for starting their own research. A student will use the book as supplementary material for various courses and modules. A professional mathematician will find a description of several physical phenomena at the rigorous mathematical level. A professional physicist will discover mathematical foundations for well-known physical theories.
1 Mathematical Preliminaries
2 Space-Times and Spacetimes
3 Random Cross-Sections of Homogeneous Bundles
A Additional Topics
Bibliography
Index
Biography
Anatoliy Malyarenko received his PhD degree at Taras Shevchenko National University of Kyiv in 1985. He is a Professor in the Division of Mathematics and Physics at Mälardalen University, Sweden. His research interests include random fields on manifolds with physical applications and financial mathematics.
