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教授 - 刘培东
基本信息
姓名刘培东
职称教授
所在部门数学物理教研室
职务
研究方向随机动力系统
个人主页http://www.math.pku.edu.cn:8000/people/view.php?uid=liupd&showdetail=1
办公室1612E
电话58877
电子邮件liupd at math dot pku dot edu dot cn
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教学活动
时间课程名称课程面向
已讲授5个学期数学分析本科生
1998-1999学年第二学期动力系统的维数理论研究生
1998-1999学年第一学期光滑遍历论研究生
主要论著
著作名称下载链接
P.-D. Liu, (Survey) Dynamics of random transformations: Smooth ergodic theory, Erogd. Th. Dynam. Syst.21 (2001)， 1279-1319.
P.-D. Liu, Entropy formula of Pesin type for noninvertible random dynamical systems, Math. Z. 230 (1999), 201-239
J. Bahnmuller, Pei-Dong Liu, Characterization of measures satisfying Pesin's entropy formula for random dynamical systems, J. Dynam. Diff. Equa. 10(3) (1998), 425-448
Pei-Dong Liu, Hong-Wen Zheng, Stochastic stability of generalized SRB measures of Axiom A basic sets, Proc. Amer. Math. Soc. 128 (2000),3541-3545
Pei-Dong Liu, Min Qian, Ruelle's inequality for the entropy of diffussion processes, Acta Math. Sinica (New Series), No. 2 (1993), 212-224
Pei-Dong Liu, Min Qian, Smooth Ergodic Theory of Random Dynamical Systems, Lec. Not. Math. 1606, Springer, 1995 (221 pages)
Pei-Dong Liu, Min-Ping Qian, Fu-Chang Tang, Pseudo-orbit tracing property for random diffeomorphisms, Proc, Roy. Soc. Edinburg 126A (1996), 1027-1033
Pesin's entropy fomula for stochastic flows of diffeomorphisms, Science in China 8 (1996), 820-833
Pesin's entropy formula for endomorphisms, Nagoya Math. J. 150 (1998), 1-13
Random perturbations of Axiom A basic sets, J. Stat. Phys. 90(1/2) (1998), 467-490
Stability of orbit spaces of endomorphisms, Manusc. Math. 93 (1997), 109-128.
P.-D. Liu, M. Qian and F.-X. Zhang. Entropy formula of Pesin type for one-sided stationary random maps. Ergod. Th. Dynam. Syst. 22(2002), 1831-1844.
D.-Q. Jiang, P.-D. Liu and M. Qian. Lyapunov exponents of hyperbolic attractors. Manuscript Math. 108 (2002), 43-67.
P.-D. Liu. Ruelle inequality relating entropy, folding entrropy and negative Lyapunov exponents. Commun. Math. Phys. (in press).
P.-D. Liu, Y. Zhao. Large deviations in random perturbations of Axiom A basic sets, J. London Math. Soc. (2) 68 (2003), no.1, 148-164..
科研项目
起止时间项目名称资助来源
2002-2005随机动力系统国家杰出青年基金
2000-2002随机动力系统的光滑遍历论教育部优秀青年教师基金
1999-2001随机动力系统非线性科学"攀登"项目
所获奖励
获奖时间所获奖励
2000求是杰出青年学者奖
1992国家教委科技进步一等奖
社会工作
时间所在机构担任职务
杂志 Stochastics and Dynamics 的编委
Math. Review 的评论员