Ergodic Theorems for Group Actions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Tempelman, Arkady 作者

Kluwer Academic Pub

譯者

1992-5 出版日期

417 頁數

$ 213.57 價格

HRD

叢書系列

9780792317173 圖書編碼

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發表於2024-11-13

Ergodic Theorems for Group Actions 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Ergodic Theorems for Group Actions 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Ergodic Theorems for Group Actions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Ergodic Theorems for Group Actions 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Ergodic Theorems for Group Actions 在線電子書圖書描述

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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