On metric properties of self-affine polygonal dendrites
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913091428548608 |
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| author | Tetenov, Andrei Yudin, Ivan Kutlimuratov, Dilmurat |
| author_facet | Tetenov, Andrei Yudin, Ivan Kutlimuratov, Dilmurat |
| 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 $diam(γ)\le C |x-y|^λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03990 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On metric properties of self-affine polygonal dendrites Tetenov, Andrei Yudin, Ivan Kutlimuratov, Dilmurat Metric Geometry 28A80 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 $diam(γ)\le C |x-y|^λ$. |
| title | On metric properties of self-affine polygonal dendrites |
| topic | Metric Geometry 28A80 |
| url | https://arxiv.org/abs/2605.03990 |