Visible part of dominated self-affine sets in the plane
| Autor: | Eino Rossi |
|---|---|
| Přispěvatelé: | Department of Mathematics and Statistics |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
28A80
Plane (geometry) Mathematical analysis Articles weak tangent Visible part Set (abstract data type) Dimension (vector space) Projection (mathematics) Mathematics - Classical Analysis and ODEs Classical Analysis and ODEs (math.CA) FOS: Mathematics 111 Mathematics self-affine Limit (mathematics) Affine transformation Mathematics |
| Zdroj: | Annales Fennici Mathematici |
| ISSN: | 2737-114X 2737-0690 |
| Popis: | The dimension of the visible part of self-affine sets, that satisfy domination and a projection condition, is being studied. The main result is that the assouad dimension of the visible part equals to 1 for all directions outside the set of limit directions of the cylinders of the self-affine set. The result holds regardless of the overlap of the cylinders. The sharpness of the result is also being discussed. Final draft. 13 pages and 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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