Ergodic Theorems for Group Actions

Name: Ergodic Theorems for Group Actions
Brand: Springer Netherlands
SKU: 9780792317173
Price: 552.42 RON
Availability: InStock

Informational and Thermodynamical Aspects

Autor: A. Tempelman

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Legare: Copertă tare

Editura: Springer Netherlands

Disponibilitate: În depozitul extern

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552.42 lei

This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems...

Informații despre carte

Autor

A. Tempelman

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

1992

Pagini

399

EAN

9780792317173

ISBN

0792317173

Enbook ID

01393743

Editura

Springer Netherlands

Greutate

762

Dimensiuni

160 x 240 x 23

Descriere completă

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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Ergodic Theorems for Group Actions

Informational and Thermodynamical Aspects

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Descriere completă

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