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math.DS2026★ 1 cited
Space spanned by characteristic exponents
Zhuchao Ji, Junyi Xie, Geng-Rui Zhang
We prove several rigidity results on multiplier spectrum and length spectrum. For example, we show that for every non-exceptional rational map $f:\mathbb{P}^1(\mathbb{C})\to\mathbb…
math.DS2025
Local rigidity of Julia sets
Zhuchao Ji, Junyi Xie
We find criteria ensuring that a local (holomorphic, real analytic, ) homeomorphism between the Julia sets of two given rational functions comes from an algebraic corresponden…
math.DS2025
Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics
Zhuchao Ji, Junyi Xie
The aims of this paper are to answer several conjectures and questions about multiplier spectrum of rational maps and to give new proofs of several rigidity theorems in complex dyn…