科研成果

2025
Hu F, Truong TT, Xie J. Tate's question, Standard conjecture D, semisimplicity and Dynamical degree comparison conjecture. 2025.
Matsuzawa Y, Xie J. Arithmetic degree and Zariski dense orbit conjecture. Journal of the London Mathematical Society [Internet]. 2025;117(3):17 pages. pdf
Xie J, Yang S. On the dynamical Mordell–Lang conjecture in positive characteristic. International Mathematics Research Notices [Internet]. 2025;2025(9):23pp. pdf
Ji Z, Xie J. The multiplier spectrum morphism is generically injective. Journal of the European Mathematical Society [Internet]. 2025:18pp. pdf
Xie J. The existence of Zariski dense orbits for endomorphisms of projective surfaces. With an appendix in collaboration with Thomas Tucker. J. Amer. Math. Soc. [Internet]. 2025;38(1):1-62. pdf
2024
Xie J. Numerical spectrums control Cohomological spectrums. [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
Xie J. Around the dynamical Mordell-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
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
Xie J, Yuan X. Geometric Bogomolov conjecture in arbitrary characteristics. Inventiones mathematicae. [Internet]. 2022;229(2):607–637. pdf
Javanpeykar A, Xie J. Finiteness properties of pseudo-hyperbolic varieties, International Mathematics Research Notices. International Mathematics Research Notices [Internet]. 2022;2022(3):1601–1643. arXiv:1909.12187

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