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Groups and Topological Dynamics - Graduate Studies in Mathematics

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Description

Explore the intersection of group theory and dynamical systems with this advanced mathematical text. Published by the American Mathematical Society, this book focuses on the group-theoretic aspects of topological dynamics. It provides a detailed look at how groups can be studied through their actions on topological spaces and how group theory applies to the field of symbolic dynamics. Readers will find in-depth coverage of how this approach helps study asymptotic properties of groups, specifically regarding growth and amenability. The text introduces modern techniques for analyzing groups of dynamical origin by examining orbit structures and associated groupoids of germs. Additionally, the book covers applications of iterated monodromy groups, making it a valuable resource for researchers and students in algebra and dynamical systems.

Key Features

Covers group-theoretic aspects of topological dynamics, including the study of groups via their actions on topological spaces.

Provides mathematical connections between group theory and symbolic dynamics for advanced research.

Examines asymptotic properties of groups, such as growth and amenability, through a dynamical lens.

Introduces recent techniques for studying groups of dynamical origin using orbit structures and groupoids of germs.

Includes specialized content on the applications of iterated monodromy groups within the field.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
30 October 2022
Listed Since
22 July 2022

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