On the dimension of planar self-affine sets with non-invertible maps

被引：0

作者：

Barany, Balazs ^{[1
]}

Kortvelyesi, Viktor ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Inst Math, Dept Stochast, Muuegyetem rkp 3, H-1111 Budapest, Hungary

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2023年

关键词：

Self-affine set; Hausdorff dimension; iterated function system; HAUSDORFF DIMENSION; EQUAL HAUSDORFF; PRODUCTS;

D O I：

10.1017/prm.2023.94

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the dimension of planar self-affine sets, of which generating iterated function system (IFS) contains non-invertible affine mappings. We show that under a certain separation condition the dimension equals to the affinity dimension for a typical choice of the linear-parts of the non-invertible mappings, furthermore, we show that the dimension is strictly smaller than the affinity dimension for certain choices of parameters.

引用

页数：16

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