Perturbation of self-similar sets and some regular configurations and comparison of fractals
| dc.creator | Yu, Junyang | |
| dc.date | 2009-02-10 | |
| dc.date.accessioned | 2026-07-07T12:39:51Z | |
| dc.date.available | 2026-07-07T12:39:51Z | |
| dc.description | We consider several distances between two sets of points, which are modifications of the Hausdorff metric, and apply them to describe some fractals such as $δ$-quasi-self-similar sets, and some other geometric notions in Euclidean space, such as tilings with quasi-prototiles and patterns with quasi-motifs. For the $δ$-quasi-self-similar sets satisfying the open set condition we obtain the same result as a classical theorem due to P. A. P. Moran. In this paper we try to gaze on fractals in an aspect of their "form" and suggest a few of related questions. Finally, we attempt to inquire an issue -- what nature and behavior do non-crystalline solids that approximate to crystals show? | |
| dc.identifier | https://arxiv.org/abs/0902.1615 | |
| dc.identifier | http://arxiv.org/abs/0902.1615 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219263 | |
| dc.subject | Metric Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 28A80, 52Cxx, 82D25, 37E05, 37F10 | |
| dc.title | Perturbation of self-similar sets and some regular configurations and comparison of fractals | |
| dc.type | text |