Topological minimal self-joinings
Copyright policy )Topological minimal self-joinings
AbstractThere is an interesting duality between some of the concepts of ergodic theory and those of topological dynamics. This paper is a first attempt at developing a topological analogue to the measure-theoretic notion of a transformation having minimal self-joinings. The main problem is to understand the dynamics of the composition of a cartesian product of powers of a transformation having topological minimal self-joinings with a compact permutation of the coordinates. Most of the results are about the minimal subsets of such a composition.
- University of Maryland, College Park United States
- University of Maryland, College Park United States
canonical flows, topologically weak- mixing, minimal self-joining, proximal orbit dense flow, numerical relations, Topological dynamics, Measure-preserving transformations, minimal sets
canonical flows, topologically weak- mixing, minimal self-joining, proximal orbit dense flow, numerical relations, Topological dynamics, Measure-preserving transformations, minimal sets
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