Intersections of the pieces of self-similar dendrites in the plane Full article
| Journal |
Chaos, Solitons and Fractals
ISSN: 0960-0779 , E-ISSN: 1873-2887 |
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| Output data | Year: 2024, Volume: 182, Article number : 114805, Pages count : 6 DOI: 10.1016/j.chaos.2024.114805 | ||||||
| Tags | Self-similar set, Dendrite, Open set condition, Weak separation property, Intersection graph | ||||||
| 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 each self-similar dendrite in the plane has the weak separation property and that the ramification orders of its points are bounded. We show that there are self-similar dendrites in the plane that satisfy the Open Set Condition, such that several pieces may intersect in the same non-trivial subdendrite.
Cite:
Allabergenova K.
, Samuel M.
, Tetenov A.
Intersections of the pieces of self-similar dendrites in the plane
Chaos, Solitons and Fractals. 2024. V.182. 114805 :1-6. DOI: 10.1016/j.chaos.2024.114805 WOS Scopus РИНЦ OpenAlex
Intersections of the pieces of self-similar dendrites in the plane
Chaos, Solitons and Fractals. 2024. V.182. 114805 :1-6. DOI: 10.1016/j.chaos.2024.114805 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Feb 26, 2024 |
| Accepted: | Mar 24, 2024 |
| Published print: | Apr 3, 2024 |
| Published online: | Apr 3, 2024 |
Identifiers:
| Web of science: | WOS:001219331100001 |
| Scopus: | 2-s2.0-85189510586 |
| Elibrary: | 67411229 |
| OpenAlex: | W4393851919 |