Song J, Xie J. 算术动力系统. [Internet]. 2026. pdf

Ji Z, Xie J, Zhang G-R. Rigidity of Lyapunov exponents for polynomials. [Internet]. 2026. pdf

Xie J, Yang S, Zheng A. Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve. [Internet]. 2026. pdf

Ji Z, Song J, Xie J. A geometric approach to the uniform boundedness of l-primary torsion points. [Internet]. 2026. pdf

Xie J. Numerical action for endomorphisms. Journal of Number Theory [Internet]. 2026. pdf

Ji Z, Xie J. The moduli space of a rational map is Carathéodory hyperbolic. Ergodic Theory and Dynamical Systems [Internet]. 2026. pdf

Ji Z, Xie J, Zhang G-R. Space spanned by characteristic exponents. Math. Ann. [Internet]. 2026;394(62):38pp. pdf

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. pdf

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.

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

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