Hermitian continued fractions and hyperbolic billards (Q1273174)
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scientific article; zbMATH DE number 1229644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hermitian continued fractions and hyperbolic billards |
scientific article; zbMATH DE number 1229644 |
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Hermitian continued fractions and hyperbolic billards (English)
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23 June 1999
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The author applies use of geodesic flow on the modular surface to deduce ergodicity and to compute some of the fundamental invariants for the Hermite continued fractions. The techniques, very nicely applied here, are those going back at least to \textit{R. Moeckel} [Ergodic Theory Dyn. Syst. 2, 69-83 (1982; Zbl 0497.10007)]. It is interesting, as the author points out, that G. Humbert in 1916 had already given a geometric version of this continued fraction algorithm.
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Hermite continued fractions
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ergodic theory
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billiards
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fundamental invariants
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