Group Colorings and Bernoulli Subflows

Author:   Su Gao ,  Steve Jackson ,  Brandon Seward
Publisher:   American Mathematical Society
ISBN:  

9781470418472


Pages:   241
Publication Date:   30 April 2016
Format:   Paperback
Availability:   Out of stock   Availability explained
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Group Colorings and Bernoulli Subflows


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Overview

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.

Full Product Details

Author:   Su Gao ,  Steve Jackson ,  Brandon Seward
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.343kg
ISBN:  

9781470418472


ISBN 10:   1470418479
Pages:   241
Publication Date:   30 April 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Introduction Preliminaries Basic constructions of $2$-colorings Marker structures and tilings Blueprints and fundamental functions Basic applications of the fundamental method Further study of fundamental functions} The descriptive complexity of sets of $2$-colorings The complexity of the topological conjugacy relation Extending partial functions to $2$-colorings Further questions Bibliography Index

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Author Information

Su Gao and Steve Jackson, University of North Texas, Denton, TX, USA and Brandon Seward, University of Michigan, Ann Arbor, MI, USA.

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