张金华

• 性别：男

  职称：教授

  所在系别：基础数学系

  是否博导：是

• 电子邮箱：jinhua_zhang@jlu.edu.cn

• 微分动力系统

• 2014.09-2017.07 勃艮第大学数学所 博士研究生（导师：Christian Bonatti）
  2011.09-2017.07 北京大学数学科学学院 博士研究生（导师：文兰）
  2007.09-2011.07 吉林大学数学学院 本科

• 2026.01-至今 吉林大学数学学院 教授
  2019.09-2025.12 北京航空航天大学数学科学学院 副教授
  2017.09-2019.08 巴黎第十一大学数学院 博士后（合作导师：Sylvain Crovisier）

• [1]部分双曲系统的Lyapunov谱和Lyapunov指数柔性，2025.01--2028.12，国家自然科学基金面上基金，负责人
  [2]微分动力系统及其遍历理论，2022.11--2026.10，科技部“数学和应用研究”重点研发专项，参与人
  [3]部分双曲系统的拓扑和统计性质，2021.11--2025.12，科技部“数学和应用研究”重点研发计划青年科学家项目，参与人
  [4]中心一维部分双曲系统的熵理论和分类，2021.01--2023.12，国家自然科学基金青年基金，负责人

• [1]L. Díaz, J. Yang and J. Zhang, A conservative partially hyperbolic dichotomy: hyperbolicity versus nonhyperbolic measures. To appear in Trans. Amer. Math. Soc. https://doi.org/10.1090/tran/9710
  [2]J. Zhang, Entropy properties of mostly expanding partially hyperbolic diffeomorphisms. Math.Ann.393 (2025), no. 1, 953–992.
  [3]S. Crovisier, X. Wang, D. Yang and J. Zhang，On physical measures of multi-singular hyperbolic vector fields. Trans. Amer. Math. Soc. 377 (2024),no.10, 6937-6980.
  [4]A. Tahzibi and J. Zhang, Disintegrations of non-hyperbolic ergodic measures along the center foliation of DA maps. Bull. Lond. Math. Soc. 55 (2023), no.3, 1404--1418.
  [5] S. Gan, Y. Shi, D. Xu and J. Zhang, Centralizers of derived-from-Anosov systems on T3 : rigidity versus triviality. Ergodic Theory Dynam. Systems 42 (2022), no. 9, 2841–2865.
  [6]D. Yang and J. Zhang, Ergodic optimization for some dynamical systems beyond uniform hyperbolicity. Dyn. Syst. 37 (2022), no. 4, 630–647.
  [7]J. Zhang, Partially hyperbolic diffeomorphism with one dimensional neutral center on 3-manifolds. J. Mod. Dyn. 17 (2021), 557–584.
  [8]S. Crovisier, D. Yang and J. Zhang, Empirical measures of partially hyperbolic attractors. Comm. Math. Phys. 375 (2020), no.1, 725--764.
  [9] D. Yang and J. Zhang, Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes. J. Inst. Math. Jussieu 19 (2020), no. 5, 1765-1792.
  [10] Ch. Bonatti and J. Zhang, Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center. Sci. China Math.,63 (2020), no.9, 1647--1670.
  [11]S. Crovisier, A. da Luz, D. Yang and J. Zhang, On the notions of singular domination and (multi-)singular hyperbolicity. Sci. China Math., 63 (2020), no.9, 1721--1744.
  [12] X. Wang and J. Zhang, Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes. J. Dynam. Differential Equations 32 (2020), no.2, 631--664.
  [13] Ch. Bonatti and J. Zhang, Periodic measures and partially hyperbolic homoclinic classes. Trans. Amer. Math. Soc. 372 (2019), no. 2, 755--802.
  [14] Ch. Bonatti and J. Zhang, On the existence of non-hyperbolic ergodic measure as the limit of periodic measures. Ergodic Theory Dynam.Systems 39(2019), no. 11, 2932--2967.
  [15] Ch. Bonatti and J. Zhang, Transverse foliations on the torus T2 and partially hyperbolic diffeomorphisms on 3-manifolds. Comment. Math. Helv. 92 (2017), no. 3, 513--550.