Luxian Yang

activity

20202026

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2 papers · 1 filter

math.DS2026

Non-uniqueness of characteristic curves of folding rational maps

Luxian Yang, Jinsong Zeng

A folding rational map is a postcritically finite rational map $f$ admitting an essential Jordan curve $β$ , disjoint from the postcritical set $P_{f}$ , whose preimage is disconnected…

math.DS2026

Rigidity of McMullen Julia sets

Yan Gao, Luxian Yang, Jinsong Zeng

We provide a complete quasisymmetric classification of the Julia sets of postcritically finite McMullen maps $f_{λ} (z) = z^{n} + λ / z^{n}$ with $λ \in C^{*}$ and $n \geq 2$ , and prove tha…