On the structure of self-affine Jordan arcs in ℝ2

• Autorzy: Tetenov Andrei , Kutlimuratov Allanazar

Identyfikatory

DOI

10.1515/dema-2022-0228

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

self-similar set; self-affine Jordan arc; zipper; weak separation property

PL

samopodobieństwo; łuk Jordana; słaba właściwość separacyjna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220228
• Opis fizyczny: Bibliogr. 33 poz., rys.

Twórcy

autor

Tetenov Andrei

• Sobolev Mathematical Institute, 630090 Novosibirsk, Russia

autor

Kutlimuratov Allanazar

• Chirchik State Pedagogical University, 111700 Chirchik, Uzbekistan

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).