11 citations · 24 across the 4 of their papers we have counts for
4 papers
On dendrites, generated by polyhedral systems and their ramification points
Andrei Tetenov, Mary Samuel, Dmitry Vaulin
The paper considers systems of contraction similarities in sending a given polyhedron to polyhedra , whose non-empty intersections are singletons an…
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.
Self-Similar Jordan Arcs Which Do Not Satisfy OSC
Andrey Tetenov, Kirill Kamalutdinov, Dmitry Vaulin
It was proved in 2007 by C.Bandt and H.Rao that if a system of contraction similarities in with a connected attractor has the finite intersectio…
On two classes of dense 2-generator subgroups in
Kirill Kamalutdinov, Andrey Tetenov, Dmitry Vaulin
We consider dense 2-generator multiplicative subgroups in and show that for each point the set of limit values for the arguments of the powers of each…