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
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.
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.
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.
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.
Vadim Kaloshin and Ke Zhang.
Density of convex billiards with rational caustics.
Nonlinearity
, 31 (2018), No 11, 5214 - 5234.
Journal, arXiv.
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
Ke Zhang.
On tangent cones of Aubry sets.
Annales de la Faculté des Sciences de Toulouse
, accepted (2017), 12pp. arxiv
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
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
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.
Yakov Pesin, Samuel Senti and Ke Zhang.
Thermodynamics of towers of hyperbolic type.
Trans. Amer. Math. Soc.
, 368 (2016), 8519-8552.
Journal, arxiv.
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
Ke Zhang.
Speed of Arnold diffusion for analytic Hamiltonian systems.
Inventiones Mathematicae
, 186:255-290, 2011.
Journal.
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.
Yakov Pesin, Samuel Senti and Ke Zhang.
Lifting measures to inducing Schemes.
Ergodic Theory Dynamical Systems
, 28 (2008), no. 2, 553–574.
DOI, arxiv
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.
Yakov Pesin and Ke Zhang.
Phase transitions for uniformly expanding maps.
J. Stat. Phys.
, 122(6):1095–1110, 2006.
Journal
Ph.D. Thesis.
Thermodynamical formalism for maps with inducing schemes.
The Pennsylvania State University, 2007.
PDF.