姚潇 - 南开大学 - 数学科学学院

个人简介

工作经历 2016.07-2018.09 上海数学中心, 博士后 (合作导师：沈维孝) 2018.07-2020.12 南开大学数学科学学院讲师 2020.12-至今南开大学数学科学学院副教授教育经历 2007.09-2011.07 南开大学数学科学学院, 统计专业本科 2011.09-2016.07 清华大学数学系, 基础数学专业博士（博士导师：郑建华) 2016.07-2018.09 上海数学中心, 博士后 (合作导师：沈维孝) "科研项目 1. 国家自然科学基金青年基金项目(主持), Julia集上的Lyapunov指数和Birkhoff谱及复方法在薛定谔算子的应用, 21万元，2020-01-01至2022-12-31. 2.教育部高校基本科研业务费（主持), 14.5万元，2019.01.-2020.12."

研究领域

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学术兼职

18. The spectrum of periodi-doubling Hamiltonian. Commun. Math. Phys. 2（2022), (Accept). (with Q. H. Liu, Y. H. Qu). 17. Rationality of meromorphic functions between real algebraic sets in the plane. Proc. AMS (2022), (Accept). (with T.W. Ng). 16. Multifractal analysis in non-uniformly hyperbolic interval maps. Nonlinearity 35 (2022), no. 1, 110–133. (with G. Z. Ma, W. Q. Shen) 15. Julia Limiting Directions of Entire Solutions of Complex Differential Equations. Acta Math. Sci. Ser. B (Engl. Ed.) 41 (2021), no. 4, 1275–1286. (with J. Wang, C. C. Zhang) 14. A relation between moments of Liu process and Bernoulli numbers. Fuzzy Optim. Decis. Mak. 20 (2021), no. 2, 261–272. （with G. Z. Ma, X. F. Yang） 13. On Julia limiting directions of meromorphic functions. Israel J. Math. 238 (2020), no. 1, 405–430. (with J. Wang) 12. Fractional Sobolev spaces from a complex analytic viewpoint. J. Funct. Anal. 279 (2020), no. 7, 108651, 27 pp. (with Z.Q. Zhang) 11. Characterizations of all real solutions for the KdV equation and WR. Appl. Math. Lett. 107 (2020), 106446, 8 pp. (with Y.Y. Gu, C. F. Wu, W. J. Yuan) 10.Singular direction and q-difference operator of meromorphic functions. Bull. Malays. Math. Sci. Soc. 43 (2020), no. 5, 3693–3709. (with J. R. Long, J. Y. Qiao) 9.Function theory on annuli. Complex Var. Elliptic Equ. 64 (2019), no. 7, 1103–1124. (with F.J. Chai, D.C. Sun, W.Q. Shen) 8. Lyapunov exponents and related concepts for entire functions. Math. Z. 288 (2018), no. 3-4, 855–873. (with W. Bergweiler, J.H. Zheng) 7. Analytic properties for holomorphic matrix-valued maps in C^{2×2}. Acta Math. Sin. (Engl. Ser.) 33 (2017), no. 11, 1536–1548. (with C.Fu, Y.Z. Li) 6. Hausdorff dimension of the irregular set in non-uniformly hyperbolic systems. Fractals 25 (2017), no. 3, 1750027, 10 pp. (with G.Z. Ma) 5. Multifractal analysis of the historic set in non-uniformly hyperbolic systems. Arch. Math. (Basel) 108 (2017), no. 4, 405–413. (with G.Z. Ma) 4. Unbounded trace orbits of Thue-Morse Hamiltonian. J. Stat. Phys. 166 (2017), no. 6, 1509–1557.(with Q.H. Liu, Y. H. Qu) 3. Multifractal analysis of dimension spectrum in non-uniformly hyperbolic systems. Mediterr. J. Math. 13 (2016), no. 5, 3069–3090. (with G.Z. Ma) 2. Higher dimensional multifractal analysis of non-uniformly hyperbolic systems. J. Math. Anal. Appl. 421 (2015), no. 1, 669–684. (with G.Z. Ma) 1. Poincáre recurrence theorem in regular uncertain dynamic system. Fuzzy Optim. Decis. Mak. 13 (2014), no. 3, 319–328. (with H. Ke)