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Intersections of the pieces of self-similar dendrites in the plane. / Allabergenova, Klara; Samuel, Mary; Tetenov, Andrei.

In: Chaos, Solitons and Fractals, Vol. 182, 114805, 05.2024.

Research output: Contribution to journal › Article › peer-review

Harvard

Allabergenova, K, Samuel, M & Tetenov, A 2024, 'Intersections of the pieces of self-similar dendrites in the plane', Chaos, Solitons and Fractals, vol. 182, 114805. https://doi.org/10.1016/j.chaos.2024.114805

APA

Allabergenova, K., Samuel, M., & Tetenov, A. (2024). Intersections of the pieces of self-similar dendrites in the plane. Chaos, Solitons and Fractals, 182, [114805]. https://doi.org/10.1016/j.chaos.2024.114805

Vancouver

Allabergenova K, Samuel M, Tetenov A. Intersections of the pieces of self-similar dendrites in the plane. Chaos, Solitons and Fractals. 2024 May;182:114805. doi: 10.1016/j.chaos.2024.114805

Author

Allabergenova, Klara ; Samuel, Mary ; Tetenov, Andrei. / Intersections of the pieces of self-similar dendrites in the plane. In: Chaos, Solitons and Fractals. 2024 ; Vol. 182.

BibTeX

@article{de32cc618e544f4c905bd0cfa712c51a,
title = "Intersections of the pieces of self-similar dendrites in the plane",
abstract = "We prove that each self-similar dendrite in the plane has the weak separation property and that the ramificationorders of its points are bounded. We show that there are self-similar dendrites in the plane that satisfy theOpen Set Condition, such that several pieces may intersect in the same non-trivial subdendrite.",
keywords = "Self-similar set, Dendrite, Open set condition, Weak separation property, Intersection graph",
author = "Klara Allabergenova and Mary Samuel and Andrei Tetenov",
note = "The work is supported by the Mathematical Center in Akademgorodok under the agreement no. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2024",
month = may,
doi = "10.1016/j.chaos.2024.114805",
language = "English",
volume = "182",
journal = "Chaos, Solitons and Fractals",
issn = "0960-0779",
publisher = "Elsevier Ltd",

}

RIS

TY - JOUR

T1 - Intersections of the pieces of self-similar dendrites in the plane

AU - Allabergenova, Klara

AU - Samuel, Mary

AU - Tetenov, Andrei

N1 - The work is supported by the Mathematical Center in Akademgorodok under the agreement no. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2024/5

Y1 - 2024/5

N2 - We prove that each self-similar dendrite in the plane has the weak separation property and that the ramificationorders of its points are bounded. We show that there are self-similar dendrites in the plane that satisfy theOpen Set Condition, such that several pieces may intersect in the same non-trivial subdendrite.

AB - We prove that each self-similar dendrite in the plane has the weak separation property and that the ramificationorders of its points are bounded. We show that there are self-similar dendrites in the plane that satisfy theOpen Set Condition, such that several pieces may intersect in the same non-trivial subdendrite.

KW - Self-similar set

KW - Dendrite

KW - Open set condition

KW - Weak separation property

KW - Intersection graph

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85189510586&origin=inward&txGid=3f219771c8ea51c6505b81d061964c35

U2 - 10.1016/j.chaos.2024.114805

DO - 10.1016/j.chaos.2024.114805

M3 - Article

VL - 182

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

M1 - 114805

ER -

ID: 60521725