Dimension Groups and Dynamical Systems: Substitutions, Bratteli Diagrams and Cantor Systems

This book explores the connection between dynamical systems and dimension groups, focusing on symbolic systems and their algebraic structures. It is recommended for researchers in topological and symbolic dynamics, automata theory, and combinatorics on words. It includes a thorough account of background notions and detailed exposition of major results, with examples and exercises to build intuition and open problems for future research.

Format: Hardback
Length: 760 pages
Publication date: 03 February 2022
Publisher: Cambridge University Press

This captivating book delves into the intricate relationship between dynamical systems and dimension groups, offering a comprehensive and self-contained exploration. The authors delve into the rich interplay between the topological properties of dynamical systems and the algebraic structures associated with them, with a particular focus on symbolic systems, particularly substitution systems. This work is highly recommended for anyone with an interest in topological and symbolic dynamics, automata theory, or combinatorics on words. Designed to serve as an introduction for graduate students and other newcomers to the field, as well as a valuable reference for established researchers, the book provides a thorough account of the background notions and detailed exposition of the major results in the subject. A wealth of examples and exercises, accompanied by comprehensive solutions, aid in building intuition, while a collection of open problems at the end serves as a stimulating platform for future research endeavors.

Weight: 1032g
Dimension: 158 x 235 x 44 (mm)
ISBN-13: 9781108838689
Edition number: New ed