Geodesic
Self-similar dendrites generated by polygonal systems in the plane
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 737-751

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We define a class of self-similar dendrites in $\mathbb{R}^2$ generated by system $\mathcal{S}$ 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.
Keywords: self-similar set, post-critically finite sets.
Mots-clés : dendrite, ramification point 
@article{SEMR_2017_14_a62,
     author = {M. Samuel and A. Tetenov and D. Vaulin},
     title = {Self-similar dendrites generated by polygonal systems in the plane},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {737--751},
     publisher = {mathdoc},
     volume = {14},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2017_14_a62/}
}
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M. Samuel; A. Tetenov; D. Vaulin. Self-similar dendrites generated by polygonal systems in the plane. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 14 (2017), pp. 737-751. http://geodesic.mathdoc.fr/item/SEMR_2017_14_a62/