Herron, David A and Meyer, Daniel
(2010)
Quasicircles and Bounded Turning Circles Modulo bi-Lipschitz Maps.
Rev. Mat. Iberoamericana, 28 (3).
pp. 603-630.
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Official URL: http://dx.doi.org/10.4171/rmi/687
Abstract
We construct a catalog, of snowflake type metric circles, that describes all metric quasicircles up to \bl\ equivalence. This is a metric space analog of a result due to Rohde. Our construction also works for all bounded turning metric circles; these need not be doubling. As a byproduct, we show that a metric quasicircle with Assouad dimension strictly less than two is bi-Lipschitz equivalent to a planar quasicircle.
| Item Type: | Article |
|---|---|
| Additional Information: | 30 pages, 3 figures, to appear in Rev. Mat. Iberoamericana |
| Uncontrolled Keywords: | math.CV, math.CV, math.MG, 30L10 |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 18 Dec 2017 09:26 |
| Last Modified: | 27 Feb 2024 19:37 |
| DOI: | 10.4171/rmi/687 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3014261 |
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