Invariant measures for piecewise linear transformations of the interval (Q923745)
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scientific article; zbMATH DE number 4171269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant measures for piecewise linear transformations of the interval |
scientific article; zbMATH DE number 4171269 |
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Invariant measures for piecewise linear transformations of the interval (English)
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1990
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Let T denote a piecewise linear transformation on [0,1]. In this note an explicit formula for the density of a T-invariant absolutely continuous measure is given. It is shown that the solutions of a certain linear system of equations correspond to the set of invariant functions.
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piecewise linear map
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invariant density
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invariant measure
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piecewise linear transformation
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0.9568808
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0.9342718
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0.9213617
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0.9158666
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0.91496176
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0.90960586
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0.90860176
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