Self-similar dendrites generated by polygonal systems in the plane

Mary Samuel; Andrey V. Tetenov; Dmitry A. Vaulin

doi:10.17377/semi.2017.14.063

Self-similar dendrites generated by polygonal systems in the plane

Mary Samuel, Andrey V. Tetenov, Dmitry A. Vaulin

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

4 Citations (Scopus)

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 Hölder continuity of their isomorphisms.

Original language	English
Pages (from-to)	737-751
Number of pages	15
Journal	Сибирские электронные математические известия
Volume	14
DOIs	https://doi.org/10.17377/semi.2017.14.063
Publication status	Published - 1 Jan 2017

Keywords

Dendrite
Post-critically finite sets
Ramification point
Self-similar set
self-similar set
ramification point
dendrite
post-critically finite sets
SIMILAR SETS

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10.17377/semi.2017.14.063

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KW - post-critically finite sets

KW - SIMILAR SETS

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SN - 1813-3304

ER -

Self-similar dendrites generated by polygonal systems in the plane

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Keywords

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