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Education
Professional Experiences
Overview
Research
本项目已经完成了既定目标。在此项目资助下，一共正式发表论文9篇，正式接受论文1篇。
S. Crovisier, D. Yang and J. Zhang, Empirical measures of partially hyperbolic attractors, Comm. Math. Phys., 375(2020), 725-764.
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), 1721-1744.
D. Yang and J. Zhang, Non-hyperbolic ergodic measures and horseshoes in partially hyperbolic homoclinic classes, Journal of the Institute of Mathematics of Jussieu, 19(2020), 1765-1792.
D. Yang, On the historical behavior of singular hyperbolic attractors, Proc. Amer. Math. Soc., 148(2020), 1641-1644.
X. Wen, L. Wen and D. Yang, A characterization of singular hyperbolicity via the linear Poincar\'e flow, Journal of Differential Equations, 268(2020), 4256-4275.
W. Wu, D. Yang and Y. Zhang, On the growth rate of periodic orbits for vector fields, Adv. Math., 346(2019), 170-193.
X. Guo, G. Liao, W. Sun and D. Yang, On the hybrid control of metric entropy for dominated splittings, Discrete Contin. Dyn. Syst., 38(2018), 5011-5019.
Z. Mi, Y. Cao and D. Yang, SRB measures for attractors with continuous invariant splittings, Math. Z., 288(2018), 135-165.
Z. Mi, Y. Cao and D. Yang, A note on partially hyperbolic systems with mostly expanding centers, Proc. Amer. Math. Soc., 145(2017), 5299-5313.
Y. Zang, D. Yang and Y. Cao, The entropy conjecture for dominated splitting with multi 1D centers via upper semi-continuity of the metric entropy, Nonlinearity, 30(2017), 3076-3087.
以下论文被正式接受且可在官网查到：
S. Crovisier and D. Yang, Robust transitivity of singular hyperbolic attractors, accepted by Math. Z., 2020. https://doi.org/10.1007/s00209-020-02618-1