Bates, Bruce and Bunder, Martin and Tognetti, Keith (2005) Continued Fractions and the Gauss Map. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 21 (2). pp. 113-125. ISSN 0866-0174
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Abstract
We discover properties of the Gauss Map and its iterates using continued fractions. In particular, we find all fixed points and show that the graph of an iterate over [0,1/2] is symmetric to the graph of the next higher iterate over [1/2,1].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Continued fractions, Gauss Map |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 31 Jan 2024 12:48 |
| Last Modified: | 31 Jan 2024 12:48 |
| URI: | http://real.mtak.hu/id/eprint/186839 |
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