Hausdorff dimension of the limit sets of some planar geometric constructions |
| |
Authors: | Krzysztof Barański |
| |
Affiliation: | Institute of Mathematics, Polish Academy of Sciences, ul. ?niadeckich 8, P.O. Box 21, 00-956 Warszawa 10, Poland |
| |
Abstract: | We determine the Hausdorff and box dimension of the limit sets for some class of planar non-Moran-like geometric constructions generalizing the Bedford-McMullen general Sierpiński carpets. The class includes affine constructions generated by an arbitrary partition of the unit square by a finite number of horizontal and vertical lines, as well as some non-affine examples, e.g. the flexed Sierpiński gasket. |
| |
Keywords: | primary 28A80 28A78 |
本文献已被 ScienceDirect 等数据库收录! |
|