Invariant measures for Moebius maps with three branches (Q1677491)
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scientific article; zbMATH DE number 6810552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant measures for Moebius maps with three branches |
scientific article; zbMATH DE number 6810552 |
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Invariant measures for Moebius maps with three branches (English)
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21 November 2017
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The present article is devoted to modeling two families of Möbius maps with three branches for which the invariant densities can be written down as an infinite series. It is shown that in certain cases these densities are not rational functions. Also, several examples of $f$-exansions and their extensions are described, certain open problems are noted. \par Results obtained in this paper, continue the author's investigations related with studies of invariant measures for Moebius maps from IMS Lect. Notes, Monogr. Ser. 48, 237--247 (2006; Zbl 1132.11043); Int. J. Number Theory 14, No. 6, 1559--1572 (2018; Zbl 1410.11109)].
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$f$-expansion
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invariant measures
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Moebius maps
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0.8897648
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0.8877022
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0.88303214
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0.8701825
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0.8694751
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0.86914843
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