6 citations · 12 across the 15 of their papers we have counts for
4 papers · 1 filter
The multiplier spectrum morphism is generically injective
Zhuchao Ji, Junyi Xie
In this paper, we consider the multiplier spectrum of periodic points, which is a natural morphism defined on the moduli space of rational maps on the projective line. A celebrated…
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…
DAO for curves
Zhuchao Ji, Junyi Xie
We prove the Dynamical André-Oort (DAO) conjecture proposed by Baker and DeMarco for families of rational maps parameterized by an algebraic curve. In fact, we prove a stronger res…
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…