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Self-similar dendrites generated by polygonal systems in the plane. / Samuel, Mary; Tetenov, Andrey V.; Vaulin, Dmitry A.

In: Сибирские электронные математические известия, Vol. 14, 01.01.2017, p. 737-751.

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

Harvard

Samuel, M, Tetenov, AV & Vaulin, DA 2017, 'Self-similar dendrites generated by polygonal systems in the plane', Сибирские электронные математические известия, vol. 14, pp. 737-751. https://doi.org/10.17377/semi.2017.14.063

APA

Samuel, M., Tetenov, A. V., & Vaulin, D. A. (2017). Self-similar dendrites generated by polygonal systems in the plane. Сибирские электронные математические известия, 14, 737-751. https://doi.org/10.17377/semi.2017.14.063

Vancouver

Samuel M, Tetenov AV, Vaulin DA. Self-similar dendrites generated by polygonal systems in the plane. Сибирские электронные математические известия. 2017 Jan 1;14:737-751. doi: 10.17377/semi.2017.14.063

Author

Samuel, Mary ; Tetenov, Andrey V. ; Vaulin, Dmitry A. / Self-similar dendrites generated by polygonal systems in the plane. In: Сибирские электронные математические известия. 2017 ; Vol. 14. pp. 737-751.

BibTeX

@article{82f20bdadd784d29af9b80b7cb9cf35d,
title = "Self-similar dendrites generated by polygonal systems in the plane",
abstract = "We define a class of self-similar dendrites in ℝ2 generated by system S of similarity maps of a convex polygon P and find upper bound for the order of their ramification points, show that such dendrites are continua of bounded turning and prove H{\"o}lder continuity of their isomorphisms.",
keywords = "Dendrite, Post-critically finite sets, Ramification point, Self-similar set, self-similar set, ramification point, dendrite, post-critically finite sets, SIMILAR SETS",
author = "Mary Samuel and Tetenov, {Andrey V.} and Vaulin, {Dmitry A.}",
year = "2017",
month = jan,
day = "1",
doi = "10.17377/semi.2017.14.063",
language = "English",
volume = "14",
pages = "737--751",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Self-similar dendrites generated by polygonal systems in the plane

AU - Samuel, Mary

AU - Tetenov, Andrey V.

AU - Vaulin, Dmitry A.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We define a class of self-similar dendrites in ℝ2 generated by system S of similarity maps of a convex polygon P and find upper bound for the order of their ramification points, show that such dendrites are continua of bounded turning and prove Hölder continuity of their isomorphisms.

AB - We define a class of self-similar dendrites in ℝ2 generated by system S of similarity maps of a convex polygon P and find upper bound for the order of their ramification points, show that such dendrites are continua of bounded turning and prove Hölder continuity of their isomorphisms.

KW - Dendrite

KW - Post-critically finite sets

KW - Ramification point

KW - Self-similar set

KW - self-similar set

KW - ramification point

KW - dendrite

KW - post-critically finite sets

KW - SIMILAR SETS

UR - http://www.scopus.com/inward/record.url?scp=85061039316&partnerID=8YFLogxK

U2 - 10.17377/semi.2017.14.063

DO - 10.17377/semi.2017.14.063

M3 - Article

AN - SCOPUS:85061039316

VL - 14

SP - 737

EP - 751

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 22473742