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Książka Ergodic Theorems for Group Actions A.A. Tempelman

Ergodic Theorems for Group Actions

Informational and Thermodynamical Aspects

Autor: A.A. Tempelman
Język: Angielski
Oprawa: Miękka
Wydawca: Springer Netherlands
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 13-18 dni
472.40 zł
This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems...

Informacje o książce

Autor
A.A. Tempelman
Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2010
strony
399
EAN
9789048141555
ISBN
9048141559
Enbook ID
01973277
Wydawca
Springer Netherlands
Waga
640
Wymiary
160 x 240 x 21

Pełny opis

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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