Zeta function and Perron-Frobenius operator of piecewise linear transformations on \(\mathbb{R}^ k\) (Q1913557)
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scientific article; zbMATH DE number 880005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zeta function and Perron-Frobenius operator of piecewise linear transformations on \(\mathbb{R}^ k\) |
scientific article; zbMATH DE number 880005 |
Statements
Zeta function and Perron-Frobenius operator of piecewise linear transformations on \(\mathbb{R}^ k\) (English)
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18 August 1997
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Let \(F\) be a piecewise linear transformation \(F\) on \(R^k\) into itself. The eigenvalues of the Perron-Frobenius operator \(P\) corresponding to the transformation \(F\) are investigated with the help of the zeros of the Fredholm determinant.
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eigenvalues
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Perron-Frobenius operator
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zeros
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Fredholm determinant
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