研究领域
动力系统、辛拓扑教育背景
2008-2013 博士 马里兰大学2004-2008 学士 南京大学
工作经历
现任清华大学丘成桐数学科学中心教授
2017-2020,清华大学丘成桐数学科学中心副教授
2013-2017,于芝加哥大学任Dickson Instructor
发表论文
M.-C. Arnaud, J. Xue, A C^1 Arnold-Liouville theorem, arXiv:1612.08755, to appear in Asterisque.
C.-Q. Cheng, J. Xue, Order property and modulus of continuity of weak KAM solutions, Calculus of variation and PDEs, (2018) 57:65.
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.
A. Blumenthal, J. Xue, L.-S. Young, Lyapunov exponents and correlation decay for random perturbations of some prototypical 2D maps, Communications in Mathematical Physics, April 2018, Volume 359, Issue 1, pp 347-373
J. Xue, D. Dolgopyat, Noncollision singularities in a planar two-center-two-body problem, Communications in Mathematical Physics, August 2016, Volume 345, Issue 3, pp 797-879.
J. Xue, Existence of noncontractible periodic orbits of Hamiltonian system separating two Lagrangian tori on $T^*\mathbb T^n$ with application to non convex Hamiltonian systems, Journal of Symplectic Geometry Volume 15, no. 3,pages 905-936, 2017.
J. Xue, Continuous averaging proof of the Nekhoroshev theorem, DCDS-A, Vol 35, No.8, 2015.
J. Xue, Arnold diffusion in a restricted planar four-body problem, Nonlinearity, 27 (2014) 2887-2908.
J. Xue, Nekhoroshev estimates for commuting nearly integrable symplectomorphisms, Regular and Chaotic Dynamics, 22 (2017), no. 3, 248-265.