Meyer, Daniel
(2008)
Dimension of elliptic harmonic measure of Snowspheres.
Illinois Journal of Mathematics, 53 (2).
pp. 691-721.
![[img]](https://livrepository.liverpool.ac.uk/style/images/fileicons/text.png) |
Text
0812.2387v3.pdf - Author Accepted Manuscript Download (360kB) |
Abstract
A metric space $\mathcal{S}$ is called a \defn{quasisphere} if there is a quasisymmetric homeomorphism $f\colon S^2\to \mathcal{S}$. We consider the elliptic harmonic measure, i.e., the push forward of 2-dimensional Lebesgue measure by $f$. It is shown that for certain self similar quasispheres $\mathcal{S}$ (snowspheres) the dimension of the elliptic harmonic measure is strictly less than the Hausdorff dimension of $\mathcal{S}$.
| Item Type: | Article |
|---|---|
| Additional Information: | 33 pages, 1 figure |
| Uncontrolled Keywords: | math.CV, math.CV, math.DS, 30C65 |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 18 Dec 2017 09:23 |
| Last Modified: | 19 Jan 2023 06:48 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3014264 |
Share
Share
Share
CORE (COnnecting REpositories)