Random Fields on the Sphere
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"Random Fields on the Sphere" by Domenico Marinucci, Giovanni Peccati is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.
Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments and cumulants for the analysis of Gaussian subordinated fields are reviewed. This background material is used to analyse spectral representations of isotropic spherical random fields and then to investigate in depth the properties of associated harmonic coefficients. Properties and statistical estimation of angular power spectra and polyspectra are addressed in full. The authors are strongly motivated by cosmological applications, especially the analysis of cosmic microwave background (CMB) radiation data, which has initiated a challenging new field of mathematical and statistical research. Ideal for mathematicians and statisticians interested in applications to cosmology, it will also interest cosmologists and mathematicians working in group representations, stochastic calculus and spherical wavelets.
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"Random Fields on the Sphere" by Domenico Marinucci, Giovanni Peccati is a mathematics book and learning resource focused on Deep Sky & Solar System. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Deep Sky & Solar System
Author: Domenico Marinucci, Giovanni Peccati
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical random fields. The main emphasis is on tools from harmonic analysis, beginning with the representation theory for the group of rotations SO(3). Many recent developments on the method of moments and cumulants for the analysis of Gaussian subordinated fields are reviewed. This background material is used to analyse spectral representations of isotropic spherical random fields and then to investigate in depth the properties of associated harmonic coefficients. Properties and statistical estimation of angular power spectra and polyspectra are addressed in full. The authors are strongly motivated by cosmological applications, especially the analysis of cosmic microwave background (CMB) radiation data, which has initiated a challenging new field of mathematical and statistical research. Ideal for mathematicians and statisticians interested in applications to cosmology, it will also interest cosmologists and mathematicians working in group representations, stochastic calculus and spherical wavelets.
| Author | Domenico Marinucci, Giovanni Peccati |
| Publisher | Cambridge University Press |
| Published | 2011-08-25 |
| ISBN-13 | 9780521175616 |
| Binding | Paperback |
| Pages | 356 |
| Language | English |
| Subjects | Mathematics |
| Topic | Deep Sky & Solar System |
| Series | London Mathematical Society Lecture Note |
Format: Paperback
Length: 356 pages
Language: English
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