Broken linear transformations
- 1 July 1977
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (7) , 1476-1479
- https://doi.org/10.1063/1.523409
Abstract
The properties of mixing and complete mixing are studied for the baker’s transformation and some generalizations with the usual measure dμ (x) =d x. When each linear portion maps on the whole segment, mixing is true. When some linear portions do not map on the whole segment, mixing can hold or not, depending on the transformation even with a more general measure.Keywords
This publication has 1 reference indexed in Scilit:
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963