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Unbounded Bilipschitz Homogeneous Jordan Curves
| Content Provider | Semantic Scholar |
|---|---|
| Author | Freeman, David |
| Copyright Year | 2011 |
| Abstract | We prove that an unbounded L-bilipschitz homogeneous Jordan curve in the plane is of B-bounded turning, where B depends only on L. Using this result, we construct a catalogue of snowflake-type curves that includes all unbounded bilipschitz homogeneous Jordan curves, up to bilipschitz self maps of the plane. This catalogue yields characterizations of such curves in terms of certain quasiconformal maps. |
| Starting Page | 81 |
| Ending Page | 99 |
| Page Count | 19 |
| File Format | PDF HTM / HTML |
| DOI | 10.5186/aasfm.2011.3605 |
| Volume Number | 36 |
| Alternate Webpage(s) | http://www.acadsci.fi/mathematica/Vol36/vol36pp81-99.pdf |
| Alternate Webpage(s) | https://doi.org/10.5186/aasfm.2011.3605 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |