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Iteration of piecewise linear maps on an interval
Published online by Cambridge University Press: 17 April 2009
Abstract
A complete analysis is given of the iterative properties of two piece-piecewise linear maps on an interval, from the point of view of a doubling transformation obtained by functional composition and rescaling. We show how invariant measures may be constructed for such maps and that parameter values where this may be done form a dense set in a one-dimensional subset of parameter space.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 24 , Issue 3 , December 1981 , pp. 433 - 451
- Copyright
- Copyright © Australian Mathematical Society 1981
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