11 citations · 12 across the 2 of their papers we have counts for
5 papers
On the set of subarcs in some non-postrcritically finite dendrites
Nikolai Abrosimov, Marina Chanchieva, Andrey Tetenov
We construct a family of non-PCF dendrites in a plane, such that in each of them all subarcs have the same Hausdorff dimension , while the set of -dimensional Hausdorff m…
On -deformations of polygonal dendrites
Dmitry Drozdov, Mary Samuel, Andrey Tetenov
We find the conditions under which the attractor of a deformation of a contractible polygonal system is a dendrite.
On Dendrites Generated By Symmetric Polygonal Systems: The Case of Regular Polygons
Mary Samuel, Dmitry Mekhontsev, Andrey Tetenov
We define -symmetric polygonal systems of similarities and study the properties of symmetric dendrites, which appear as their attractors. This allows us to find the conditions u…
Self-Similar Dendrites Generated by Polygonal Systems in the Plane
Mary Samuel, Andrey Tetenov, Dmitry Vaulin
We consider a method of construction of self-similar dendrites on a plane and establish main topological and metric properties of resulting class of dendrites.
The example of a self-similar continuum which is not an attractor of any zipper
O. Purevdorj, A. V. Tetenov
The article contains a construction of a self-similar dendryte which cannot be the attractor of any self-similar zipper.