| Electronic ISBN: | 978-1-4704-2875-4 |
| Product Code: | MEMO/241/1141.E |
| List Price: | $101.00 |
| MAA Member Price: | $90.90 |
| AMS Member Price: | $60.60 |
-
Book DetailsMemoirs of the American Mathematical SocietyVolume: 241; 2015; 241 ppMSC: Primary 37; 20; Secondary 03;
In this paper the authors study the dynamics of Bernoulli flows and their subflows over general countable groups. One of the main themes of this paper is to establish the correspondence between the topological and the symbolic perspectives. From the topological perspective, the authors are particularly interested in free subflows (subflows in which every point has trivial stabilizer), minimal subflows, disjointness of subflows, and the problem of classifying subflows up to topological conjugacy. Their main tool to study free subflows will be the notion of hyper aperiodic points; a point is hyper aperiodic if the closure of its orbit is a free subflow.
-
Table of Contents
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Basic Constructions of $2$-Colorings
-
4. Marker Structures and Tilings
-
5. Blueprints and Fundamental Functions
-
6. Basic Applications of the Fundamental Method
-
7. Further Study of Fundamental Functions
-
8. The Descriptive Complexity of Sets of $2$-Colorings
-
9. The Complexity of the Topological Conjugacy Relation
-
10. Extending Partial Functions to $2$-Colorings
-
11. Further Questions
-
-
RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
In this paper the authors study the dynamics of Bernoulli flows and their subflows over general countable groups. One of the main themes of this paper is to establish the correspondence between the topological and the symbolic perspectives. From the topological perspective, the authors are particularly interested in free subflows (subflows in which every point has trivial stabilizer), minimal subflows, disjointness of subflows, and the problem of classifying subflows up to topological conjugacy. Their main tool to study free subflows will be the notion of hyper aperiodic points; a point is hyper aperiodic if the closure of its orbit is a free subflow.
-
Chapters
-
1. Introduction
-
2. Preliminaries
-
3. Basic Constructions of $2$-Colorings
-
4. Marker Structures and Tilings
-
5. Blueprints and Fundamental Functions
-
6. Basic Applications of the Fundamental Method
-
7. Further Study of Fundamental Functions
-
8. The Descriptive Complexity of Sets of $2$-Colorings
-
9. The Complexity of the Topological Conjugacy Relation
-
10. Extending Partial Functions to $2$-Colorings
-
11. Further Questions
