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On the set of subarcs in some non-postrcritically finite dendrites. / Abrosimov, Nikolay Vladimirovich; Chanchieva, Marina Vladimirovna; Tetenov, Andrey Viktorovich.

In: Сибирские электронные математические известия, Vol. 16, 01.01.2019, p. 975-982.

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

Harvard

Abrosimov, NV, Chanchieva, MV & Tetenov, AV 2019, 'On the set of subarcs in some non-postrcritically finite dendrites', Сибирские электронные математические известия, vol. 16, pp. 975-982. https://doi.org/10.17377/semi.2019.16.066

APA

Abrosimov, N. V., Chanchieva, M. V., & Tetenov, A. V. (2019). On the set of subarcs in some non-postrcritically finite dendrites. Сибирские электронные математические известия, 16, 975-982. https://doi.org/10.17377/semi.2019.16.066

Vancouver

Abrosimov NV, Chanchieva MV, Tetenov AV. On the set of subarcs in some non-postrcritically finite dendrites. Сибирские электронные математические известия. 2019 Jan 1;16:975-982. doi: 10.17377/semi.2019.16.066

Author

Abrosimov, Nikolay Vladimirovich ; Chanchieva, Marina Vladimirovna ; Tetenov, Andrey Viktorovich. / On the set of subarcs in some non-postrcritically finite dendrites. In: Сибирские электронные математические известия. 2019 ; Vol. 16. pp. 975-982.

BibTeX

@article{4d41e067c7b8479d998d7abb06958399,
title = "On the set of subarcs in some non-postrcritically finite dendrites",
abstract = "We construct a family F of non-PCF dendrites K in a plane, such that for any dendrite K ∈ F all its subarcs have the same Hausdorff dimension s, while the set of s-dimensional Hausdorff measures of subarcs connecting the given point and a self-similar Cantor subset in K is a Cantor discontinuum.",
keywords = "Hausdorff dimension, Postcritically finite set, Ramification point, Self-similar dendrite, postcritically finite set, self-similar dendrite, ramification point, SYSTEMS",
author = "Abrosimov, {Nikolay Vladimirovich} and Chanchieva, {Marina Vladimirovna} and Tetenov, {Andrey Viktorovich}",
year = "2019",
month = jan,
day = "1",
doi = "10.17377/semi.2019.16.066",
language = "English",
volume = "16",
pages = "975--982",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - On the set of subarcs in some non-postrcritically finite dendrites

AU - Abrosimov, Nikolay Vladimirovich

AU - Chanchieva, Marina Vladimirovna

AU - Tetenov, Andrey Viktorovich

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We construct a family F of non-PCF dendrites K in a plane, such that for any dendrite K ∈ F all its subarcs have the same Hausdorff dimension s, while the set of s-dimensional Hausdorff measures of subarcs connecting the given point and a self-similar Cantor subset in K is a Cantor discontinuum.

AB - We construct a family F of non-PCF dendrites K in a plane, such that for any dendrite K ∈ F all its subarcs have the same Hausdorff dimension s, while the set of s-dimensional Hausdorff measures of subarcs connecting the given point and a self-similar Cantor subset in K is a Cantor discontinuum.

KW - Hausdorff dimension

KW - Postcritically finite set

KW - Ramification point

KW - Self-similar dendrite

KW - postcritically finite set

KW - self-similar dendrite

KW - ramification point

KW - SYSTEMS

UR - http://www.scopus.com/inward/record.url?scp=85071195173&partnerID=8YFLogxK

U2 - 10.17377/semi.2019.16.066

DO - 10.17377/semi.2019.16.066

M3 - Article

AN - SCOPUS:85071195173

VL - 16

SP - 975

EP - 982

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 21349153