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4 results on '"Yuan, Qihan"'

1. Topology automaton and conformal dimension of post-critical-finite self-similar sets

Author

Rao, Hui, Wen, Zhi-Ying, Yuan, Qihan, and Zhang, Yuan

Subjects
Mathematics - Metric Geometry, Mathematics - Dynamical Systems
Abstract

In this paper, we use a class of finite state automata, called topology automaton, to study the metric classification of a special class of post-critically finite self-similar sets. As an application, we prove that the conformal dimension of post-critically finite self-similar dendrites and fractal gasket with connected component is 1., Comment: 38 pages, 11 figures, 27 references

Published
2023

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