| 000 -LEADER |
|---|
| fixed length control field |
02258nam a22002417a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9781470463809 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.2 |
| Item number |
N418 2022 |
| 100 ## - MAIN ENTRY--AUTHOR NAME |
|---|
| Personal name |
Nekrashevych, Volodymyr, author. |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Groups and topological dynamics / Volodymyr Nekrashevych. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication |
Rhode Island : |
| Name of publisher |
American Mathematical Society, |
| Year of publication |
©2022. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Number of Pages |
1 online resource xii, 693 pages : |
| Other physical details |
illustrations (some color) |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Includes bibliographical references and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Dynamical systems -- Group actions --Groupoids --Iterated monodromy groups -- Groups from groupoids -- Growth and amenability
|
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Group theory and generalizations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Dynamical systems and ergodic theory -- Topological dynamics -- Symbolic dynamics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Group theory and generalizations -- Groupoids |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Dynamical systems and ergodic theory -- Topological dynamics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Special aspects of infinite or finite groups -- Asymptotic properties of groups. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Transformations and group actions with special properties (minimality, distality, proximality, etc.). |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical Term |
Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Electronic Books |