教授
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朱玉峻

职称:教授

职务:副院长

学历:博士

电子邮件:yjzhu@xmu.edu.cn

联系电话:0592-2580733

办 公 室:海韵校区数理大楼605室

教育经历:

1. 1995年6月毕业于河北师范大学数学系,获得理学学士学位;

2. 1998年4月毕业于浙江大学数学系,获得理学硕士学位;

3. 2003年6月毕业于河北师范大学数学科学学院,获得理学博士学位。


工作经历:

1. 1998年4月—2017年4月,任教于河北师范大学数学科学学院;

2. 2005年7月—2007年6月于北京大学数学科学学院从事博士后研究工作;

3. 2008年,2012年,2014年分别在美国密歇根州立大学、纽约市立大学作访问学者,共历时2年;

4. 2017年5月至今,任教于大象成视人视频。


研究方向:

1.研究方向为动力系统。主要研究兴趣涉及微分动力系统的拓扑性质和遍历性质,以及拓扑动力系统和随机动力系统的相关课题。


社会兼职:

1.美国《Mathematical Reviews》,德国《Zentralblatt MATH》评论员。


著作:

1.朱玉峻,郑宏文,张金莲,阎欣华,《动力系统入门教程及最新发展概述》,科学出版社,2009年8月。(译著:现代数学译丛 (9),53万字)


授课情况:

讲授过的本科生课程有《数学分析》、《拓扑学》、《常微分方程》、《解析几何》、《概率论》、《高等数学》、《线性代数》等;讲授过的研究生课程有《微分动力系统》、《光滑遍历论》、《遍历论》、《微分流形》等。


主持项目:

一、国家级课题

1) 国家自然科学基金面上项目(No. 12171400):Z^k-作用的拓扑性质与熵,2022-2025,主持;

2) 国家自然科学青年基金(No. 11801136):微分同胚沿着不稳定叶层熵的连续性的研究,2019-2021,参加;

3) 国家自然科学基金面上项目(No. 11771118):微分动力系统中的几个随机问题,2018-2021,主持;

4) 国家自然科学基金面上项目(No.11371120):部分双曲系统的拓扑性质与熵的研究,2014-2017,主持;

5) 国家自然科学天元会议基金(No. 11126011):动力系统及相关课题学术会议,2012,主持;

6) 国家自然科学基金面上项目(No. 11071054):可微系统的熵、Lyapunov指数及体积增长的关系,2011—2013,主持;

7) 国家自然科学青年基金(No. 10701032):熵与体积和拓扑复杂性的关系,2008-2010,主持;

8) 国家自然科学天元基金(No.10426012):动力系统的熵及其相关动力性质的研究,2005,主持;

9) 国家自然科学基金面上项目(No. 10371030):动力系统中的跟踪性及其应用研究,2004-2006,参加。

二、教育部课题

1) 教育部新世纪优秀人才支持计划(No. 11-0935),2012-2014,主持;

2) 教育部科学技术研究重点项目(No. 211020):光滑动力系统中的熵及其相关问题,2011-2013,主持;

3) 教育部留学回国人员科研启动基金(No. 11126011):光滑动力系统中的熵及其相关问题,2010-2012,主持。

三、省级课题

1) 河北省杰出青年基金(A2014205154),2014-2016,主持;

2) 河北省高等学校高层次人才科学研究项目(GCC2014052)2014-2016,主持;

3) 河北省高校百名优秀创新人才支持计划(BR2-219),2013-2015,主持;

4) 河北省留学人员科技活动项目择优资助项目,2011-2013,主持;

5) 河北省自然科学基金(No. A2008000132),2008-2010,主持。


论文:

[1] Yujun Zhu, Rotation sets and rotational entropy for random dynamical systems on the torus, Journal of Differential Equations, 367(2023), 390–414.

[2] Xinsheng Wang, Yu Zhang and Yujun Zhu, On various entropies of set-valued maps Journal of Mathematical Analysis and Application, 524(2023), 127097.

[3] Yaojia Guo, Xinsheng Wang and Yujun Zhu, Forward expansiveness and entropies for subsystems of Z_+^k -actions, Acta Mathematica Sinica, English Series., 39(4) (2023), 633-662.

[4] Xinsheng Wang, Weisheng Wu and Yujun Zhu, On Entropy and Pressure via Preimage Structure for Random Dynamical Systems, Journal of Differential Equations, 346 (2023), 1–63.

[5] Weisheng Wu and Yujun Zhu, Entropy via Preimage structure, Advances in Mathematics, 406(2022), No 108483, 45pp.

[6] Xinsheng Wang, Weisheng Wu and Yujun Zhu, Local entropy via preimage structure, Journal of Differential Equations,  317 (2022), 639–684.

[7] 王林,王昕晟,朱玉峻, Z^k -作用的具有跟踪性的子系统,中国科学,52(10) (2022), 1145-1168.

[8] Huyi Hu, Weisheng Wu and Yujun Zhu, Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphsims, Ergodic Theory and Dynamical Systems, 41(11) (2021), 3336–3362.

[9] Xinsheng Wang, Weisheng Wu and Yujun Zhu, Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems, Stochastics and Dynamics, 21(5) (2021), Paper No: 2150021, 31pp.

[10] Weisheng Wu and Yujun Zhu, On preimage entropy, folding entropy and stable entropy, Ergodic Theory and Dynamical Systems, 41(4)(2021), 1217-1249.

[11] Zhiming Li, Weisheng Wu and Yujun Zhu, Preimage pressure, stable pressure and equilibrium states, Journal of Differential Equations, 269 (2020), 6311-6342.

[12] Zhiming Li and Yujun Zhu, Entropies of commuting transformations on Hilbert spaces, Discrete and Continuous Dynamical Systems (Series-A), 40(10)(2020) , 5795-5814.

[13] Xinsheng Wang, Weisheng Wu and Yujun Zhu, Local unstable entropy and local unstable pressure for random partially hyperbolic dynamical systems. Discrete and Continuous Dynamical Systems (Series-A),40(1) (2020), 81–105.

[14] Xinsheng Wang, Weisheng Wu and Yujun Zhu, Unstable entropy and unstable pressure for partially hyperbolic endomorphisms, Journal of Mathematical Analysis and Application, 486(1) (2020), Paper No: 123885, 24 pp.

[15] Xinsheng Wang, Lin Wang and Yujun Zhu, Formula of entropy along unstable foliations for C^1 diffeomorphisms with dominated splitting, Discrete and Continuous Dynamical Systems (Series-A), 38(4) (2018), 2125-2140.

[16] Yujun Zhu, A note on two types of Lyapunov exponents and entropies for Z^k-actions, Journal of Mathematical Analysis and Application, 461(2018), 38-50.

[17] Lin Wang, Xinsheng Wang and Yujun Zhu, On Local Constancy of Topological Entropy for Certain Partially Hyperbolic Diffeomorphisms, Acta Mathematicae Applicatae Sinica, 34(2) (2018), 249–253.

[18] Lin Wang, Xinsheng Wang and Yujun Zhu, Quasi-Shadowing Property on Random Partially Hyperbolic Sets, Acta Mathematica Sinica, English Series,34(9)(2018), 1429–1444.

[19] Zhu, Yujun, Entropy formula for random Z^k-actions, Transactions of American Mathematics Society, 369(7) (2017),  4517–4544.

[20] Wang Lin and Zhu Yujun, Center specification property and entropy for partially hyperbolic diffeomorphisms, Discrete and Continuous Dynamical Systems (Series-A), 36 (1)(2016),  469–479.

[21] Hu Huyi, Zhou Yunhua and Zhu Yujun, Quasi-shadowing for partially hyperbolic diffeomorphisms, Ergodic Theory Dynamical Systems, 35(2) (2015), 412–430.

[22] Huyi Hu and Yujun Zhu, Quasi-Stability of Partially Hyperbolic Diffeomorphisms, Transactions of American Mathematics Society, 366(7) (2014), 3787-3804.

[23] 朱玉峻,张文达,史恩慧,环面上Z_+^k-作用的Friedland 熵的计算公式,中国科学,44(6)(2014), 701-709.

[24] Yujun Zhu and Wenda Zhang, On an entropy of Z_+^k-actions, Acta Mathematica Sinica, English Series, 30(3) (2014), 467-480.

[25] Yujun Zhu, Topological quasi-stability of partially hyperbolic diffeomorphism under random perturbations, Discrete and Continuous Dynamical Systems (Series-A), 34(2) (2014), 869-882.  

[26] Suhua Wang, Enhui Shi, Yujun Zhu and Bin Chen, Auslander-Yorke chaos for group actions on dendrites, International Journal of Bifurcation and Chaos, in Applied Sciences and Engineering. 23(6) (2013), 1350097, 10 pp.

[27] Yujun Zhu, Zhaofeng Liu, Xueli Xu and Wenda Zhang, Entropy of Nonautonomous Dynamical Systems, Journal of the Korean Mathematical Society, 49(1) (2012), 165-185.

[28] Yujun Zhu and Jinlian Zhang, Lyapunov Exponents for Continuous Random Transformations, Science in China, 53(2) (2010), 413-424.

[29] Yujun Zhu, Zhiming Li, Xiaohong Li, Preimage Pressure for Random Transformations,Ergodic Theory and Dynamical Systems, 29(2009), 1669-1687.

[30] Yujun Zhu, Two Notes on Measure-Theoretic Entropy of Random Dynamical Systems, Acta Mathematica Sinica, English Series, 25(6) (2009), 961-970.

[31] Yujun Zhu, On Local Entropy of Random Transformations, Stochastics and Dynamics, 8(2) (2008), 197-207.  

[32] Yujun Zhu,Preimage Entropy for Random Dynamical Systems,Discrete and Continuous Dynamical Systems (Series-A), 18(4)(2007), 529-551.

[33] Yujun Zhu,Growth in Topological Complexity and Volume Growth for Random Dynamical Systems, Stochastics and Dynamics, 6(4)(2006), 459-471.

[34] Yujun Zhu, Jinlian Zhang and Lianfa He, Topological Entropy of a Sequence of Monotone Maps on Circles. Journal of the Korean Mathematical Society, 43(2) (2006), 373-382.

[35] Yujun Zhu, Jinlian Zhang and Lianfa He, Shadowing and Inverse Shadowing for C^1 Endomorphis,Acta Mathematica Sinica, English Series, 22(5)(2006), 1321-1328.

[36] Lianfa He, Yujun Zhu and Hongwen Zheng, Shadowing in Random Dynamical Systems, Discrete and Continuous Dynamical Systems (Series-A), 12(2) (2005), 355-362.

[37] 张金莲,朱玉峻,何连法,非自治动力系统的原像熵,数学学报,48(4)(2005), 693-702.

[38] 朱玉峻,王玲书,张金莲,具有双曲不变集系统的极限跟踪性,数学年刊, 25 (5)(2004), 613-620.


学生培养:

截至2023年,共培养博士6名,硕士22名。