副教授 硕士生导师
电子邮箱:
所在单位:数学科学学院
学历:博士研究生
在职信息:在职
张金华,男,博士,北京航空航天大学数学科学学院准聘副教授。2011年获得吉林大学理学学士学位。2017年毕业于北京大学数学科学学院和法国勃艮第大学数学所,并分别获得北京大学博士学位和勃艮第-弗朗什-孔泰大学博士学位,师从文兰院士和 Christian Bonatti (CNRS研究员)。研究领域为微分动力系统。2017年9月至2019年8月,在巴黎第十一大学数学学院从事博士后研究工作,导师为 Sylvain Crovisier (CNRS研究员)。
发表论文(Publication):
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.
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.
Ch. Bonatti and J. Zhang, Periodic measures and partially hyperbolic homoclinic classes. Trans. Amer. Math. Soc. 372 (2019), no. 2, 755--802.
S. Crovisier, D. Yang and J. Zhang, Empirical measures of partially hyperbolic attractors. Commu. Math. Phys. 375 (2020), no.1, 725--764.
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.
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.
Ch. Bonatti and J. Zhang, Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center. Sci. China Math., 63 (2020), no. 9, (A special volume dedicated to Prof. Shantao Liao), 1647--1670.
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, (A special volume dedicated to Prof. Shantao Liao), 1721--1744.
J. Zhang, Partially hyperbolic diffeomorphism with one dimensional neutral center on 3-manifolds. J. Mod. Dyn. 17, (2021), 557-584.
D. Yang and J. Zhang, Ergodic optimizatyion for some dynamical systems beyond uniform hyperbolicity. Dyn. Syst. 37 (2022), no. 4, 630-647.
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.
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.
S. Crovisier, X. Wang, D. Yang, J. Zhang,On physical measures of multi-singular hyperbolic vector fields. Trans. Amer. Math. Soc. 377 (2024), no. 10, 6937-6980. DOI:https://doi.org/10.1090/tran/9161.
预印本论文:
J.Zhang, Entropy properties of mostly expanding partially hyperbolic diffeomorphisms. arXiv:2401.12465.
L.J.Diaz, K.Gelfert and J.Zhang, The amount of nonhyperbolicity for partially hyperbolic diffeomorphisms. arXiv:2405.12051
[1]微分动力系统