1. Cheng C-Q, Xue J X. Arnold diffusion for nearly integrable Hamiltonian systems. Sci China Math, 2023, 66, (solution to the Arnold diffusion conjecture)
2. J. Xue, Noncollision singularities in a planar four-body problem, \textbf{Acta Mathematica}. 224 (2020), 253--388, (solution to the Painlev\'e conjecture).
3. A. Blumenthal, J. Xue, L.-S. Young, Lyapunov exponents for random perturbations of some area-preserving maps including the standard map. Annals of Mathematics, Volume 185, no. 1, pages 285-310, 2017.
4. S. Hurtado, J. Xue, Global rigidity of some Abelian-by-Cyclic actions on torus, Geometry & Topology, 25-6 (2021), 3133-3178