科研成果(Publications)

2025
Ji Z, Xie J, Zhang G-R. Cyclotomic integral points for affine dynamics. [Internet]. 2025. arXiv
Xie J. Rigidity in Complex Dynamics: Multiplier Spectrum and Dynamical André-Oort Conjecture. [Internet]. 2025. arXiv
Song J, Xie J, Yang S. Arithmetic Degrees are Cohomological Lyapunov Multipliers. [Internet]. 2025. pdf
Xie J, Yang S. Dynamical Mordell–Lang problem for automorphisms of surfaces in positive characteristic. [Internet]. 2025;2025:23pp. pdf
Xie J, Yang S. Height arguments toward the dynamical Mordell-Lang problem in arbitrary characteristic. [Internet]. 2025. pdf
Hu F, Truong TT, Xie J. Tate's question, Standard conjecture D, semisimplicity and Dynamical degree comparison conjecture. 2025.
Xie J. Numerical action for endomorphisms. [Internet]. 2025. pdf
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
Ji Z, Xie J. The moduli space of a rational map is Carathéodory hyperbolic. [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

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