Singular measures without restrictive intervals (Q1100785)
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scientific article; zbMATH DE number 4044797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular measures without restrictive intervals |
scientific article; zbMATH DE number 4044797 |
Statements
Singular measures without restrictive intervals (English)
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1987
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For the transformation \(T(x)=\lambda x(1-x)\), \(0\leq \lambda \leq 4\), of [0,1] a \(\lambda\) is shown to exist for which T has no restrictive intervals, hence it is sensitive to initial conditions, but for which no finite absolutely continuous invariant measure exists for T.
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absolutely continuous invariant measure
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