Preprints

  1. Kaloshin, Vadim, Comlan Edmond Koudjinan, and Ke Zhang.
    Birkhoff Conjecture for Nearly Centrally Symmetric Domains.
    arxiv

  2. Qun Wang and Ke Zhang.
    Gevrey regularity for the formally linearizable billiard of Treschev
    arxiv

Books

  1. Vadim Kaloshin and Ke Zhang.
    Arnold diffusion for smooth systems of two-and-a-half degrees of freedom.
    Annals of Mathematics Studies, Princton University Press , in press.

Papers

  1. Konstantin Khanin, Ke Zhang, and Lei Zhang.
    Uniform exponential contraction for viscous Hamilton-Jacobi equations.
    Calculus of Variations and Partial Differential Equations , 62, 82 (2023). 35pp. DOI, arxiv

  2. Jianyu Chen, Huyi Hu, Yakov Pesin, Ke Zhang.
    The essential coexistence phenomenon in Hamiltonian dynamics.
    Ergodic Theory and Dynamical Systems , accepted (2020), 22pp, arXiv:1901.07713.

  3. Renato Iturriaga, Konstantin Khanin and Ke Zhang.
    Exponential convergence of solutions for random Hamilton-Jacobi equations.
    Stochastics and Partial Differential Equations: Analysis and Computations , published online (2019), 36pp, DOI, arXiv.

  4. Alex Blumenthal, Jacopo De Simoi and Ke Zhang.
    Diffusion limit for a slow-fast standard map.
    Communications in Mathematical Physics , published online (2019), 22pp. DOI, arXiv.

  5. Yakov Pesin, Samuel Senti and Ke Zhang.
    Thermodynamics of the Katok map.
    Ergodic Theory and Dynamical Systems , March 2019, Volume 39, Issue 3, pp 764-794. DOI, arxiv.

  6. Vadim Kaloshin and Ke Zhang.
    Density of convex billiards with rational caustics.
    Nonlinearity , 31 (2018), No 11, 5214 - 5234. Journal, arXiv.

  7. Vadim Kaloshin and Ke Zhang.
    Dynamics of the dominant Hamiltonian.
    Bulletin de la SMF (Bulletin of the French Mathematical Society), 146(3), 2018, 517-574. Journal, arxiv

  8. Ke Zhang.
    On tangent cones of Aubry sets.
    Annales de la Faculté des Sciences de Toulouse , accepted (2017), 12pp. arxiv

  9. Konstantin Khanin and Ke Zhang.
    Hyperbolic minimal orbit for randomly kicked Hamilton-Jacobi equations.
    Communications in Mathematical Physics , October 2017, Volume 355, Issue 2, pp 803–837. DOI, arxiv

  10. Jianlu Zhang and Ke Zhang.
    Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion.
    Nonlinearity , 30 (2017), No. 7. 2918. DOI, arxiv

  11. Vadim Kaloshin, Patrick Bernard and Ke Zhang.
    Arnold diffusion in arbitrary degrees of freedom and 3-dimensional normally hyperbolic invariant cylinders.
    Acta Mathematica (2016) 217: 1. Journal, arxiv.

  12. Yakov Pesin, Samuel Senti and Ke Zhang.
    Thermodynamics of towers of hyperbolic type.
    Trans. Amer. Math. Soc. , 368 (2016), 8519-8552. Journal, arxiv.

  13. Kaloshin and Ke Zhang,
    Arnold diffusion for smooth convex systems of two and a half degrees of freedom.
    Nonlinearity , 28 (2015) no. 8, 2699. Journal

  14. Ke Zhang.
    Speed of Arnold diffusion for analytic Hamiltonian systems.
    Inventiones Mathematicae , 186:255-290, 2011. Journal.

  15. Vadim Kaloshin, Yong Zheng and Ke Zhang.
    Almost dense orbit on energy surface.
    Proceedings of XVITH International Congress on Mathematical Physics . Edited by Pavel Exner, published by World Scientific Publishing Co, 314-322.

  16. Yakov Pesin, Samuel Senti and Ke Zhang.
    Lifting measures to inducing Schemes.
    Ergodic Theory Dynamical Systems , 28 (2008), no. 2, 553–574. DOI, arxiv

  17. Yakov Pesin and Ke Zhang.
    Thermodynamics of inducing schemes and liftability of measures.
    Partially hyperbolic dynamics, laminations, and Teichmüller flow , 289–305, Fields Inst. Commun., 51, Amer. Math. Soc., Providence, RI, 2007. PDF.

  18. Yakov Pesin and Ke Zhang.
    Phase transitions for uniformly expanding maps.
    J. Stat. Phys. , 122(6):1095–1110, 2006. Journal

Others

Ph.D. Thesis.
Thermodynamical formalism for maps with inducing schemes.
The Pennsylvania State University, 2007. PDF.