Invariant Random Fields on Spaces with a Group Action

From the reviews: "This book is a nice addition to the list of very interesting books on random fields and their applications published in recent years. It focuses on invariant random fields on general spaces with a group action ... and their applications. ... This book is interesting to read and useful not only for researchers and graduate students in probability and statistics, but also for people who are interested in applications of random fields in various scientific areas." (Yimin Xiao, Mathematical Reviews, March, 2014) "The book is devoted to random fields possessing various invariance properties. ... The book gives self-contained exposition of interesting and important problems arising in the theory of invariant random fields. ... The book is useful for researchers, graduate and postgraduate students interested in the theory of random fields and their applications." (Alexander V. Bulinski, zbMATH, Vol. 1268, 2013)

• 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.​