11 citations · 25 across the 8 of their papers we have counts for
4 papers · 1 filter
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.
Even unique intersection point can break OSC: an example
Kirill Kamalutdinov, Andrey Tetenov
This was a long-standing question since 90-ies whether one-point intersection property for a self-similar set implies open set condition. We answer this question negatively. We giv…
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…