On planar self-similar sets with a dense set of rotations
| dc.creator | Eroglu, Kemal Ilgar | |
| dc.date | 2006-03-08 | |
| dc.date.accessioned | 2026-07-07T07:06:38Z | |
| dc.date.available | 2026-07-07T07:06:38Z | |
| dc.description | We prove that if $E$ is a planar self-similar set with similarity dimension $d$ whose defining maps generate a dense set of rotations, then the $d$-dimensional Hausdorff measure of the orthogonal projection of $E$ onto any line is zero. We also prove that the radial projection of $E$ centered at any point in the plane also has zero $d$-dimensional Hausdorff measure. Then we consider a special subclass of these sets and give an upper bound for the Favard length of $E(ρ)$ where $E(ρ)$ denotes the $ρ$-neighborhood of the set $E$. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603181 | |
| dc.identifier | http://arxiv.org/abs/math/0603181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110102 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 28A80 | |
| dc.title | On planar self-similar sets with a dense set of rotations | |
| dc.type | text |