Hausdorff dimension of the set of extreme points of a self-similar set
| dc.creator | Tetenov, Andrew | |
| dc.creator | Davydkin, Ivan | |
| dc.date | 2002-02-21 | |
| dc.date.accessioned | 2026-07-07T04:46:36Z | |
| dc.date.available | 2026-07-07T04:46:36Z | |
| dc.description | If the system S of contracting similitudes on $ R^2$ satisfies open convex set condition, then the set F of extreme points of the convex hull $\tilde{K}$ of it's invariant self-similar set K has Hausdorff dimension 0 . If, additionally, all the rotation angles of the similitudes are commensurable with $π$, then the set F is finite and the convex hull $\tilde{K}$ is a convex polygon. | |
| dc.description | 10 pages, 3 figures, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/0202215 | |
| dc.identifier | http://arxiv.org/abs/math/0202215 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63396 | |
| dc.subject | Metric Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 28A80 | |
| dc.title | Hausdorff dimension of the set of extreme points of a self-similar set | |
| dc.type | text |