Invariant Random Fields on Spaces with a Group Action

2013
ISBN: 978-3-642-44450-0
Verlag: Springer

Buch, Englisch, 262 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 4277 g

Reihe: Probability and Its Applications

The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.

Zielgruppe

Research

Autoren/Hrsg.

Malyarenko, Anatoliy

Weitere Mitwirkende

Leonenko, Nicolai

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Technische Wissenschaften Bauingenieurwesen Technische Dynamik (Modalanalyse), Erdbebensicherheit
• Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1.Introduction.- 2.Spectral Expansions.- 3.L2 Theory of Invariant Random Fields.- 4.Sample Path Properties of Gaussian Invariant Random Fields.- 5.Applications.- A.Mathematical Background.- References.- Index.