Random Fields on the Sphere: Representation, Limit Theorems and Cosmological Applications

This work delves into the intricate world of isotropic spherical random fields, offering a thorough examination of their mathematical underpinnings and statistical properties. By exploring various representation techniques, it illuminates how these fields can be understood and utilized across diverse applications.

The authors, Domenico Marinucci and Giovanni Peccati, skillfully weave together complex theories and practical insights, making the content accessible for both advanced researchers and graduate students in the field. Their analysis includes rigorous limit theorems that serve as foundational tools for understanding convergence behaviors in spherical contexts.

Additionally, this book connects the theoretical aspects of random fields to real-world implications, particularly in cosmology. By examining how these mathematical concepts apply to cosmic data and structures, it provides valuable perspectives for those engaged in astrophysical research, highlighting the interdisciplinary nature of the subject.