On the structure of self-affine Jordan arcs in ℝ<sup>2</sup> Full article
| Journal |
Demonstratio Mathematica
ISSN: 0420-1213 , E-ISSN: 2391-4661 |
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| Output data | Year: 2023, Volume: 56, Number: 1, Article number : 20220228, Pages count : 12 DOI: 10.1515/dema-2022-0228 | ||||
| Tags | self-similar set, self-affine Jordan arc, zipper, weak separation property | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
We prove that if a self-affine arc γ∈R2 does not satisfy weak separation condition, then it is a segment of a parabola or a straight line. If a self-affine arc γ is not a segment of a parabola or a line, then it is a component of the attractor of a Jordan multizipper with the same set of generators.
Cite:
Tetenov A.
, Kutlimuratov A.
On the structure of self-affine Jordan arcs in ℝ<sup>2</sup>
Demonstratio Mathematica. 2023. V.56. N1. 20220228 :1-12. DOI: 10.1515/dema-2022-0228 WOS Scopus РИНЦ OpenAlex
On the structure of self-affine Jordan arcs in ℝ<sup>2</sup>
Demonstratio Mathematica. 2023. V.56. N1. 20220228 :1-12. DOI: 10.1515/dema-2022-0228 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Dec 20, 2022 |
| Accepted: | Apr 12, 2023 |
| Published print: | Jun 2, 2023 |
| Published online: | Jun 2, 2023 |
Identifiers:
| Web of science: | WOS:001000333700001 |
| Scopus: | 2-s2.0-85161329326 |
| Elibrary: | 62881420 |
| OpenAlex: | W4379143099 |