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math.MG2026
Self-similar dendrites with finite boundary and P-sprouts
Andrei Tetenov, Ivan Yudin, Dmitrii Drozdov
Each self-similar dendrite K with a finite self-similar boundary defines a finite acyclic edge-labeled bipartite graph G, called the sprout of K. The paper shows that the sprout G…
math.MG2026
On metric properties of self-affine polygonal dendrites
Andrei Tetenov, Ivan Yudin, Dilmurat Kutlimuratov
We prove that for any self-affine dendrite K generated by a polygonal system, there are constants C>0 and such that for any x, y in K, the Jordan arc in K with end…