The Arnoux semi-conjugacy is Hölder continuous (Q5945930)
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scientific article; zbMATH DE number 1657941
| Language | Label | Description | Also known as |
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| English | The Arnoux semi-conjugacy is Hölder continuous |
scientific article; zbMATH DE number 1657941 |
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The Arnoux semi-conjugacy is Hölder continuous (English)
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3 December 2001
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This paper is devoted to the semi-conjugacy between an interval exchange map and a translation on the torus [see \textit{P. Arnoux}, Bull. Soc. Math. Fr. 116, 489-500 (1988; Zbl 0703.58045)]. The author proves that the semi-conjugacy is Hölder continuous and computes the Hölder exponent. This semiconjugacy is a particular case of a space-filling curve.
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Hölder continuity
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semi-conjugacy
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space-filling curve
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