刘培东 - 北京大学 - 数学科学学院

个人简介

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

近期论文

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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..

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