Simple systems and their higher order self-joinings
- 55 Downloads
The purpose of this work is to study the joinings of simple systems. First the joinings of a simple system with another ergodic system are treated; then the pairwise independent joinings of three systems one of which is simple. The main results obtained are: (1) A weakly mixing simple system with no non-trivial factors with absolutely continuous spectral type is simple of all orders. (2) A weakly mixing system simple of order 3 is simple of all orders.
KeywordsSimple System Spectral Type Finite Type Distal Extension Ergodic System
Unable to display preview. Download preview PDF.
- [K]J. King,Ergodic properties where order 4 implies infinite order, Israel J. Math., to appear.Google Scholar