刘培东

刘培东，北京大学数学科学学院教授。1991 年获北京大学博士学位，研究项目集中在随机动力系统，曾获得求是杰出青年学者奖及国家教委科技进步一等奖等荣誉。^[1]

1991 北京大学 博士^[1]

1988 河北师范大学 硕士^[1]

1985 河北师范大学 学士^[1]

1999- 北京大学数学科学学院 教授^[1]

1993-1999 北京大学数学科学学院 副教授^[1]

1991-1993 中国科学院数学研究所 博士后^[1]

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), 201-239J. Bahnmuller, Pei-Dong Liu, Characterization of measures satisfying Pesin's entropy formula for random dynamical systems, J. Dynam. Diff. Equa. 10(3) (1998), 425-448Pei-Dong Liu, Hong-Wen Zheng, Stochastic stability of generalized SRB measures of Axiom A basic sets, Proc. Amer. Math. Soc. 128 (2000),3541-3545Pei-Dong Liu, Min Qian, Ruelle's inequality for the entropy of diffussion processes, Acta Math. Sinica (New Series), No. 2 (1993), 212-224Pei-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), 1027-1033Pesin's entropy fomula for stochastic flows of diffeomorphisms, Science in China 8 (1996), 820-833Pesin's entropy formula for endomorphisms, Nagoya Math. J. 150 (1998), 1-13Random perturbations of Axiom A basic sets, J. Stat. Phys. 90(1/2) (1998), 467-490Stability 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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课程名称授课对象授课学期数学分析本科生-动力系统的维数理论研究生1998-1999学年第二学期光滑遍历论研究生1998-1999学年第一学期

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杂志Stochastics and Dynamics编委、Math. Review的评论员。^[1]

荣誉名称获奖时间求是杰出青年学者奖2000年国家教委科技进步一等奖1992年

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