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Kniha Ergodic Theorems for Group Actions A.A. Tempelman

Ergodic Theorems for Group Actions

Informational and Thermodynamical Aspects

Autor: A.A. Tempelman
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer Netherlands
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
2 286 Kč
This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems...

Informace o knize

Autor
A.A. Tempelman
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2010
Stránek
399
EAN
9789048141555
ISBN
9048141559
Enbook ID
01973277
Vydavatel
Springer Netherlands
Hmotnost
640
Rozměry
160 x 240 x 21

Kompletní popis

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.

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