Ergodic Theorems for Group Actions is popular PDF and ePub book, written by A.A. Tempelman in 2013-04-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Ergodic Theorems for Group Actions can be Read Online from any device for your convenience.
Ergodic Theorems for Group Actions Book PDF Summary
This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n>=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics.
Detail Book of Ergodic Theorems for Group Actions PDF
- Author : A.A. Tempelman
- Release : 17 April 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401714600
- Genre : Mathematics
- Total Page : 418 pages
- Language : English
- PDF File Size : 19,9 Mb
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