Article contents
Invariant measures for piecewise linear fractional maps
Part of:
Measure-theoretic ergodic theory
Published online by Cambridge University Press: 09 April 2009
Abstract
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Let T: [0,1] → [0,1] be a map which is given piecewise as a linear fractional map such that T0 = T] = 0 and T'0 < 1. Then T is ergodic and admits an invariant measure which can be calculated explicitly.
MSC classification
Secondary:
28D05: Measure-preserving transformations
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1983
References
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