Approximating measures invariant under higher-dimensional chaotic transformations (Q1177070)
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scientific article; zbMATH DE number 12890
| Language | Label | Description | Also known as |
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| English | Approximating measures invariant under higher-dimensional chaotic transformations |
scientific article; zbMATH DE number 12890 |
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Approximating measures invariant under higher-dimensional chaotic transformations (English)
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25 June 1992
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The main purpose of this paper is to present a method for approximating the absolutely continuous invariant measures by means of approximating the Frobenius-Perron operator \(P_{\tau}\) by finite-dimensional operators. Here \(\tau\) is a Jablonski transformation from the \(n\)- dimensional unit cube into itself. This generalizes the one-dimensional results of \textit{Tien-Yien Li} [ibid. 17, 177-186 (1976; Zbl 0357.41011)].
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Frobenius-Perron operator
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Jablonski transformation
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