@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",
}