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Bibliographic Details
Main Authors: Tetenov, Andrei, Yudin, Ivan, Kutlimuratov, Dilmurat
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.03990
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Table of Contents:
  • We prove that for any self-affine dendrite K generated by a polygonal system, there are constants C>0 and $λ\in(0, 1)$ such that for any x, y in K, the Jordan arc $γ$ in K with endpoints x, y satisfies the inequality $diam(γ)\le C |x-y|^λ$.