科研成果 by Year: 2025

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. Height arguments toward the dynamical Mordell-Lang problem in arbitrary characteristic. [Internet]. 2025. pdf
Xie J, Yang S. Dynamical Mordell–Lang problem for automorphisms of surfaces in positive characteristic. [Internet]. 2025;2025:23pp. pdf
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