Publications and Preprints

• Landscape classification through couping method (with Yao Li and Molei Tao), submitted.

• Concentration of quasi-stationary distributions for one-dimensional diffusions with applications (with Zhongwei Shen and Yingfei Yi), Ann. Inst. Henri Poincaré Probab. Stat. (to appear).

• Continuity properties of folding entropy (with Gang Liao), Israel J. Math. (to appear).

• Intermittent synchronization in finite-state random networks under Markov perturbations (with Arno Berger, Hong Qian and Yingfei Yi), Comm. Math. Phys. 384 (2021), no. 3, 1945-1970.

• Measures of intermediate entropies for star vector fields (with Ming Li, Yi Shi and Xiaodong Wang), Israel J. Math. 240 (2020), no. 2, 791-819.

• Numerical computations of geometric ergodicity for stochastic dynamics (with Yao Li), Nonlinearity 33 (2020), no. 12, 6935-6970.

• Towards mesoscopic ergodic theory (with Weiwei Qi, Zhongwei Shen, and Yingfei Yi), Sci. China Math. 63 (2020), no. 9, 1853-1876 (Special issue in memory of Professor Shantao Liao).

• Synchronization in discrete-time, discrete-state random dynamical systems (with Wen Huang, Hong Qian, Felix X.-F. Ye and Yingfei Yi), SIAM J. Appl. Dyn. Syst. 19 (2020), no. 1, 233–251.

• Approximation of Bernoulli measures for non-uniformly hyperbolic systems (with Gang Liao, Wenxiang Sun and Edson Vargas), Ergod. Theory & Dyn. Sys. 40 (2020), no. 1, 233–247.

• Entropy productions in dissipative systems (with Hong Qian and Yingfei Yi), Proc. Amer. Math. Soc. 147 (2019), no. 12, 5209–5225.

• Intermediate Lyapunov exponents for systems with periodic orbit gluing property (with Xueting Tian and Xiaodong Wang), Discrete Contin. Dyn. Sys. 39 (2018), no. 2, 1019-1032.

• Ruelle inequality of folding type for $C^{1+\alpha}$ maps (with Gang Liao), Math. Z. 290 (2018), no. 1-2, 509-519.

• Upper semi-continuity of entropy map for nonuniformly hyperbolic systems (with Gang Liao and Wenxiang Sun), Nonlinearity 28 (2015), no. 8, 2977-2992.