科研成果(Publications)

2024
Matsuzawa Y, Xie J. Arithmetic degree and Zariski dense orbit conjecture. [Internet]. 2024. pdf
Ji Z, Xie J. The moduli space of a rational map is Carathéodory hyperbolic. [Internet]. 2024. pdf
Xie J, Yang S. On the dynamical Mordell–Lang conjecture in positive characteristic. [Internet]. 2024. pdf
Xie J. Algebraic dynamics and recursive inequalities. [Internet]. 2024. pdf
Xie J. Algebraicity criteria, invariant subvarities and transcendence problems from arithmetic dynamics. Peking Mathematical Journal [Internet]. 2024;7(1):345-398. pdf
Fu B, Ou W, Xie J. On Fano manifolds of Picard number one with big automorphism groups. Math. Res. Lett. [Internet]. 2024;31(1): 175–191. pdf
2023
Ji Z, Xie J. The multiplier spectrum morphism is generically injective. [Internet]. 2023. pdf
Xie J, Yuan X. The Geometric Bombieri-Lang Conjecture for Ramified Covers of Abelian Varieties. [Internet]. 2023. pdf
Ji Z, Xie J, Zhang G-R. Space spanned by characteristic exponents. [Internet]. 2023. pdf
Xie J. Around the dynamical Mordell-Lang conjecture. [Internet]. 2023. pdf
Xie J, Yuan X. Partial Heights, Entire Curves, and the Geometric Bombieri–Lang Conjecture. [Internet]. 2023. pdf
Ji Z, Xie J. DAO for curves. [Internet]. 2023. pdf
Ji Z, Xie J. Local rigidity of Julia sets. [Internet]. 2023. pdf
Ji Z, Xie J. Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics. Forum of Mathematics, Pi [Internet]. 2023;Volume 11. pdf
Cantat S, Regeta A, Xie J. Families of commuting automorphisms, and a characterization of the affine space. American Journal of Mathematics [Internet]. 2023;145(2): 413-434. pdf
Xie J. Remarks on algebraic dynamics in positive characteristic. Journal für die reine und angewandte Mathematik (Crelle), published on line [Internet]. 2023. pdf
Jia J, Xie J, Zhang D-Q. Surjective endomorphisms of projective surfaces - the existence of infinitely many dense orbits. Mathematische Zeitschrift [Internet]. 2023;303(39). pdf
2022
Favre C, Truong TT, Xie J. Topological entropy of a rational map over a complete metrized field. [Internet]. 2022. pdf
Xie J, with an appendix in collaboration with Tucker T. The existence of Zariski dense orbits for endomorphisms of projective surfaces . J. Amer. Math. Soc. [Internet]. 2022;published on line. pdf
Cantat S, Paris-Romaskevich O, Xie J. Free actions of Large groups on complex threefold. Bulletin of London Mathematical Society [Internet]. 2022;54(5):1791-1803. pdf

Pages