From the 1 of 10 linked papers with an AI index.
1 citations · 1 across the 6 of their papers we have counts for
10 papers
Genus and Gonality of Small Curves, Dynamical Uniform Boundedness, and Bifurcation
Zhuchao Ji, Junyi Xie
The paper proves that the gonality of dynatomic curves in non‑isotrivial families of rational maps on the projective line grows without bound, and uses this to obtain uniform bound…
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…
Rigidity of Lyapunov exponents for polynomials
Zhuchao Ji, Junyi Xie, Geng-Rui Zhang
Let be polynomials of degree with disconnected Julia sets. We prove that they have the same Lyapunov exponent $\mathcal{L}_f=\mathcal{L}_g…
Equidistribution speed of iterated preimages for rational maps on the Riemann sphere
Mai Hao, Zhuchao Ji
The exponential equidistribution speed of iterated preimages for holomorphic endomorphisms on was established by Drasin-Okuyama for , and by Dinh-Sibony for arb…
A geometric approach to the uniform boundedness of -primary torsion points
Zhuchao Ji, Jiarui Song, Junyi Xie
We prove that for a non-isotrivial abelian scheme over a smooth curve, the genus of a generic sequence of multi-sections with small heights tends to infinity. As an application, we…
Cyclotomic integral points for affine dynamics
Zhuchao Ji, Junyi Xie, Geng-Rui Zhang
Let be a regular endomorphism of algebraic degree (i.e., extends to an endomorphism on of algebraic degree ) defined…