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The Parabola Theorem on Continued Fractions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Short, Ian |
| Copyright Year | 2016 |
| Abstract | Using geometric methods borrowed from the theory of Kleinian groups, we interpret the parabola theorem on continued fractions in terms of sequences of Möbius transformations. This geometric approach allows us to relate the Stern–Stolz series, which features in the parabola theorem, to the dynamics of certain sequences of Möbius transformations acting on three-dimensional hyperbolic space. We also obtain a version of the parabola theorem in several dimensions. |
| Starting Page | 653 |
| Ending Page | 675 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s40315-016-0164-0 |
| Volume Number | 16 |
| Alternate Webpage(s) | http://users.mct.open.ac.uk/is3649/maths/presentations/FunctionTheory2009.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s40315-016-0164-0 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
