张金华
Gender:Male
Education Level:博士研究生
Alma Mater:Peking University, Universite de Bourgogne
Profile
MORE+I received my Bachelor Degree from Jinlin University in 2011. In 2017, I obtained by PhD Degree from Peking University and Universite Bourgogne-Franche-Comte under the supervision of Prof. Lan Wen and Christian Bonatti. From 2017 to 2019, I was a post-doc at Universite Paris-sud under the supervision of Sylvain Crovisier. In the fall of 2019, I joined Beihang University.
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 homo- clinic 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.
Preprints:
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] 2014.9 to 2017.7
University of Burgundy
| Mathematics
| Doctoral degree
| With Certificate of Graduation for Doctorate Study
[2] 2011.9 to 2017.7
Peking University
| Mathematics
| Doctoral degree
| With Certificate of Graduation for Doctorate Study
[3] 2007.9 to 2011.7
Jilin University
| Mathematics
| Bachelor
| University graduated
[1] 2019.8 to Now
北京航空航天大学数学科学学院
[2] 2017.9 to 2019.8
University of Paris 11
| Mathematical Department
| Post-Doc