£128.22

Invariant and Quasiinvariant Measures in Infinite-Dimensional TVS

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Description

This monograph explores advanced aspects of the general theory of systems through the lens of mathematical analysis. The author provides a detailed development of ergodic theory, specifically focusing on the theory of quasiinvariant and invariant measures within infinite-dimensional vector spaces. These spaces serve as essential models for a wide variety of complex processes, including physical, economic, genetic, linguistic, and social systems. By applying the methods of ergodic theory, this work offers a way to study the properties of these diverse systems effectively. The text connects modern developments to the historical foundations of the field, noting how the necessity of addressing statistical mechanics problems stimulated early ergodic theory. The content builds upon the significant mathematical groundwork established by G. Birkhoff, Kryloff, and Bogolubov. This book is a specialized resource for researchers and students working in mathematical analysis and the study of infinite-dimensional topological vector spaces.

Key Features

Covers the development of ergodic theory including the study of quasiinvariant and invariant measures.

Provides mathematical models for various processes such as physical, economic, genetic, linguistic, and social systems.

Applies ergodic theory methods to analyze the specific properties of infinite-dimensional vector spaces.

Connects modern theory to the foundational works of G. Birkhoff, Kryloff, and Bogolubov.

Addresses the historical connection between ergodic theory and statistical mechanics problems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
01 December 2007
Listed Since
04 December 2007

Barcode

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