Acknowledgement
Supported by : Ajou University
Korean Journal of Mathematics
- Volume 4 Issue 1
- /
- Pages.17-30
- /
- 1996
- /
- 1976-8605(pISSN)
- /
- 2288-1433(eISSN)
EXAMPLES IN ERGODIC THEORY
- Park, Kyewon Koh (Department of Mathematics Ajou University) ;
- Park, Seungseol (Department of Mathematics Ajou University)
- Received : 1995.10.18
- Published : 1996.03.15
Abstract
In ergodic theory cutting and stacking constructions have been used to obtain a variety of important examples of transformations on the unit interval. We examine the example constructed by J. von Neumann and Kakutani and then apply the method used in the construction of Chacon's transformation to make examples that are weakly mixing but not mixing.