职称：教授
所在部门：数学物理教研室
个人主页

1612E 58877 liupd at math dot pku dot edu dot cn


教育经历
1991 北京大学 博士
1988 河北师范大学 硕士
1985 河北师范大学 学士


工作经历
1999- 北京大学数学科学学院 教授
1993-1999 北京大学数学科学学院 副教授
1991-1993 中国科学院数学研究所 博士后

代表作

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
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

主讲课程
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

社会兼职
杂志 Stochastics and Dynamics 的编委

Math. Review 的评论员

荣誉获奖
2000求是杰出青年学者奖

1992国家教委科技进步一等奖