M. Samuel

most citedSelf-Similar Dendrites Generated by Polygonal Systems in the Plane

11 citations · 14 across the 2 of their papers we have counts for

collaborators

3 papers

math.MG2018

On $δ$ -deformations of polygonal dendrites

Dmitry Drozdov, Mary Samuel, Andrey Tetenov

We find the conditions under which the attractor $K (S^{'})$ of a deformation $S^{'}$ of a contractible polygonal system $S$ is a dendrite.

math.MG2017★ 3 cited

On dendrites, generated by polyhedral systems and their ramification points

Andrei Tetenov, Mary Samuel, Dmitry Vaulin

The paper considers systems of contraction similarities in $R^{d}$ sending a given polyhedron $P$ to polyhedra $P_{i} \subset P$ , whose non-empty intersections are singletons an…

math.MG2017★ 11 cited

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.

On δ-deformations of polygonal dendrites

On dendrites, generated by polyhedral systems and their ramification points

Self-Similar Dendrites Generated by Polygonal Systems in the Plane

On $δ$ -deformations of polygonal dendrites