6 citations · 12 across the 15 of their papers we have counts for
5 papers · 1 filter
Exceptional maps and abelian points in backward orbits
Zhuchao Ji, Jiarui Song, Junyi Xie
Consider a number field , a polarized endomorphism on a normal projective variety, and a non-exceptional point for . We show that the extension $K(f^{-\infty}(…
Genus and Gonality of Small Curves, Dynamical Uniform Boundedness, and Bifurcation
Zhuchao Ji, Junyi Xie
We prove the Gonality Conjecture in arithmetic dynamics: for any non-isotrivial one-parameter algebraic family of rational maps on , the gonality of dist…
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…