个人简介

姓  名:马志明

所  别:应用数学所

职  称:研究员,中国科学院院士

研究领域: 概率论与随机分析、随机图与随机复杂网络、概率论与生命信息交叉学科

电子信箱:mazm@amt.ac.cn

马志明,中国科学院数学与系统科学研究院研究员。籍贯山西,出生于四川成都,1978年毕业于重庆师范大学,1984年在中国科学院获博士学位。在概率论与随机分析领域有重要贡献。研究狄氏型与马氏过程的对应关系取得了突破性进展,与人合作建立了拟正则狄氏型与右连续马氏过程一一对应的新框架。他与Rockner合写的英文专著已成为该领域基本文献。在Malliavin算法方面,他与合作者证明了Wiener空间的容度与所选取的可测范数无关。他还在奇异位势理论、费曼积分、薛定锷方程的概率解、随机线性泛函的积分表现、无处Radon光滑测度等方面获得多项研究成果。近年来关注概率论与生命、信息等其它领域的交叉。曾在1994年国际数学家大会上作邀请报告。曾获包括Max-Planck研究奖、中国科学院自然科学一等奖、国家自然科学二等奖、陈省身数学奖、华罗庚数学奖等在内的若干奖项。1995年当选为中国科学院院士,1998年当选为第三世界科学院院士,2007年当选为数理统计学会(IMS)Fellow。曾担任2002年北京国际数学家大会组委会主席。曾任国际数学联盟执委会委员(2003-2006)、副主席(2007-2010)。曾任中国数学会第八届理事长(2000-2003),第十届理事长(2008-2011),中国概率统计学会理事长(2011-2014),2017年任国家教材委员会专家委员,现任中国科技大学数学科学院院长,南开大学统计与数据科学院院长。

学习经历

1978年获重庆师范学院数学系本科学位

1981年获中国科大研究生院硕士学位

1984年获中国科学院理学博士学位

主要工作经历

1981-至今 中国科学院应用数学所(现并入数学与系统科学研究院)

2000-2003 中国数学会第八届理事长

2002.08 国际数学家大会组织委员会主席

2002.08 -2006.08国际数学联盟执行委员会委员

2003.01 -2007 伯努利数学统计和概率学会理事

2007.01-2010.12 国际数学联盟执行委员会副主席

2008.01-2011.12 中国数学会第十届理事长

2011-2014 中国概率统计学会理事长

2011-2015 国际工业和应用数学会科学学术委员会主席

2011.05至今 中国科技大学数学科学学院院长

2017至今 国家教材委员会专家委员

2018.06至今 南开大学统计与数据科学院院长

Selected Overseas Experiences

1987.1-1988.12 Alexander von Humboldt Research fellow, BiBoS Research Center,Dept. Math.,BielefeldUniversity, Germany

1989.8-1990.12 DFG research fellow, Bielefeld-Bochum Stochastic Research Center, Germany

1992.2-1992.4 International Expert, E.C. Project, University at Bonn, Germany

1992.7-1992.12 Visiting Mathematician, I.C.T.P., Trieste, Italy

1994.10-1996.9 Visiting Scholar, Math Institute, University of Warwick, U.K.

2000.3 -2000.6 Visiting Scholar, Northwestern University, IL, USA

2004 Distinguished Chinese Visiting Scholars Scheme, Hong Kong Polytechnic University

2010.12 International Review of Mathematical Sciences research within the UK, organized by EPSRC

2014.10 Simons Visiting Professor, TheMathematical Research Institute of Oberwolfach Germany

2015.6-2018.5 University Distinguished Professor, Hong Kong Baptist University

社会兼职

European Journal of Mathematics Advisory Editor

Statistica Sinica Associated Editor(2008-2014)

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 编委

Communications in Mathematics and Statistics,主编

数学学报(英文版)Managing Editor

中国科学 编委

应用数学学报 编委

数学年刊 编委

数学物理学报 编委

金融评论 编委

获奖与荣誉

1992年 Max-Planck研究奖

1992年 中国科学院自然科学一等奖

1993年 国家自然科学奖二等奖

1994年 国际数学家大会Invited Speaker

1995年 陈省身数学奖

1995年 中国科学院院士

1996年 求是杰出青年学者奖

1998年 第三世界科学院院士

1 999年 何梁何利奖

2004年 英国Loughborough大学理学博士荣誉学位

2005年 华罗庚数学奖

2008年 第七届国际概率统计大会Medallion Lecture

在研项目

国家数学与交叉科学中心:群体遗传学和全基因组定量分析及其在精准医学中的应用

中国科学院随机复杂结构与数据科学重点实验室: 随机复杂结构理论研究

随机分析研究中心: 随机分析研究

参加主持过的主要科研项目

国家自然科学基金委专项基金项目,随机方法及其应用, 2016.01-2016.12

国家自然科学基金委专项基金项目,随机方法及其应用, 2015.01-2015.12

国家科技部 973项目,“信息及相关领域若干重大需求的应用数学研究”,2011年-2015年,首席科学家, 2015.01-2015.12

国家科技部 973项目,“数学与其它领域交叉的若干专题”,2006年-2010年,首席科学家, 2015.01-2015.12

国家科技部 973项目,“核心数学中的前沿问题”, 1999年1月—2005年10月,首席科学家, 2015.01-2015.12



研究方向

概率论与随机分析
随机图与随机复杂网络
概率论与生命信息交叉学科

Recent Research of My Group (in collaboration with Microsoft Research Asia) (2011-Now)

  1. Mingyang Yi, Huishuai Zhang, Wei Chen, Zhi-Ming Ma, and Tie-Yan Liu, BN-invariance Sharpness Regularizes the Training Model to Better Generalization, In Proceedings of the 29th International Joint Conference on Artificial Intelligence (IJCAI), 2019.

  2. Qi Meng*, Shuxin Zheng*, Huishuai Zhang, Wei Chen, Zhi-Ming Ma, and Tie-Yan Liu, G-SGD: Optimizing ReLU Neural Networks in its Positively Scale-Invariant Space, In Proceedings of the 7th International Conference of Learning Representations (ICLR), 2019.

  3. Li He, Shuxin Zheng, Wei Chen, Zhi-Ming Ma, and Tie-Yan Liu, OptQuant: Distributed Training of Neural Networks with Optimized Quantization Mechanism, NeuroComputing, 2019.

  4. Qi Meng, Wei Chen, Zhi-Ming Ma, and Tie-Yan Liu, Convergence Analysis of Distributed Stochastic Gradient Descent with Shuffling, NeuroComputing, 2019.

  5. Li He, Qi Meng, Wei Chen, Zhi-Ming Ma, and Tie-Yan Liu, Differential Equations for Modeling Asynchronous Algorithms, In Proceedings of the 28th International Joint Conference on Artificial Intelligence (IJCAI), 2018.

  6. Qi Meng, Wei Chen, Jingcheng Yu, Taifeng Wang, Zhi-Ming Ma and Tie-Yan Liu, Asynchronous Stochastic Proximal Optimization Algorithms with Variance Reduction, Proceedings of the 31st International Association for the Advancement of Artificial Intelligence Conference (AAAI), 2017.

  7. Qi Meng, Yue Wang, Wei Chen, Taifeng Wang, Zhi-Ming Ma and Tie-Yan Liu, Generalization Error Bounds for Optimization Algorithms via Stability, Proceedings of the 31st International Association for the Advancement of Artificial Intelligence Conference (AAAI), 2017.

  8. Yue Wang, Wei Chen, Yuting Liu, Zhi-Ming Ma, and Tie-Yan Liu, Finite Sample Analysis of GTD Policy Evaluation Algorithms in Markov Setting, In Advances in Neural Information Processing Systems 31 (NIPS), 2017.

  9. Shuxin Zheng, Qi Meng, Taifeng Wang, Wei Chen, Zhi-Ming Ma and Tie-Yan Liu, Asynchronous Stochastic Gradient Descent with Delay Compensation, In Proceeding of the 34thInternational Conference on Machine Learning (ICML), 2017.

  10. Qi Meng, Wei Chen, Jingcheng Yu, Taifeng Wang, Zhi-Ming Ma and Tie-Yan Liu, Asynchronous Stochastic Proximal Optimization Algorithms with Variance Reduction, AAAI 2017.

  11. Qi Meng, Yue Wang, Wei Chen, Taifeng Wang, Zhi-Ming Ma and Tie-Yan Liu, Generalization Error Bounds for Optimization Algorithms via Stability, Proceedings of the 31st International Association for the Advancement of Artificial Intelligence Conference (AAAI), 2017.

  12. Qi Meng, Guolin Ke, Taifeng Wang, Wei Chen, Qiwei Ye, Zhi-Ming Ma, and Tie-Yan Liu, A Communication-efficient Parallel Algorithms for Decision Tree, Advances in Neural Information Processing Systems 30 (NIPS), 2016.

  13. Qi Meng, Wei Chen, Jingcheng Yu, Taifeng Wang, Zhi-Ming Ma, and Tie-Yan Liu, Asynchronous Accelerated Stochastic Gradient Descent, In Proceedings of the 26th International Joint Conference on Artificial Intelligence (IJCAI), 2016.

  14. Haifang Li, Tian Fei, Wei Chen, Tao Qin, Zhiming Ma, and Tie-Yan Liu, Generalization Analysis for Game-Theoretic Machine Learning, Proceedings of the 29th International Association for the Advancement of Artificial Intelligence Conference (AAAI), 2015.

  15. Bin Gao, Tie-Yan Liu, Yuting Liu, Taifeng Wang, Zhiming Ma, and Hang Li, Page Importance Computation based on Markov Processes, Information Retrieval, 2011.


Recent Research of My Group (in collaboration with Microsoft Research Asia)(2006-2010)

  1. Wei Chen, Tie-Yan Liu, Zhiming Ma, Two-Layer Generalization Analysis for Ranking Using Rademacher Average, NIPS 2010.

  2. Yuting Liu, Tie-Yan Liu, Zhiming Ma, and Hang Li. A Framework to Compute Page Importance based on User Behaviors, Information Retrieval, 2009.

  3. Wei Chen, Tie-Yan Liu, Yanyan Lan, and Zhiming Ma, Ranking Measures and Loss functions in Learning to Rank, Advances in Neural Information Processing Systems 22 (NIPS), Pages 315-323, 2009.

  4. Bin Gao, Tie-Yan Liu, Zhiming Ma, Taifeng Wang, Hang Li. A general markov framework for page importance computation, in the Proceedings of the 18th ACM conference on Information and knowledge management (CIKM 2009), pp, 1835-1838, 2009.

  5. Yanyan Lan, Tie-Yan Liu, Zhiming Ma, and Hang Li. Generalization Analysis of Listwise Learning to Rank Algorithms, ICML 2009

  6. Yanyan Lan, Tie-Yan Liu, Tao Qin, Zhi-Ming Ma, Hang Li, Query-level Stability and Generalization in Learning to Rank, ICML 2008.

  7. Yuting Liu, Bin Gao, Tie-Yan Liu, Ying Zhang, Zhiming Ma, Shuyuan He, and Hang Li. BrowseRank: Letting Web Users Vote for Page Importance, SIGIR 2008. [SIGIR Best Student Paper Award]

  8. Li Zhang, Tao Qin, Tie-Yan Liu, Yin Bao, Hang Li, N-Step PageRank for Web Search, ECIR 2007.

  9. Ying Bao, Guang Feng, Tie-Yan Liu, Zhi-Ming Ma, and Ying Wang Ranking Websites: A Probabilistic View, Internet Mathematics., Volume 3 (2007), Issue 3

  10. Yuting Liu, Tie-Yan Liu, Tao Qin, , Zhi-Ming Ma, and Hang Li Supervised Rank Aggregation, WWW 2007.

  11. Guo-Lie Lan ,Zhi-Ming Ma, Sun Suyong,, Coverage Problem of Wireless Sensor Networks, Discrete and Computational Geometry, Lecture Notes in Computer Science 4381,Discrete Geometry, Combinatorics and Graph Theory, pp88-100, Springer 2007

  12. Y.Bao and Y.Liu, Limit of PageRank with Damping Factor, Dynamics of Continuous, Discrete and Impulsive Systems B, Vol.13 (2006.), Number 3

  13. Y. Bao and Z. H. Zhu, Comparison of Three Web Search Algorithms, Acta Mathematicae Applicatae Sinica, English Series, 223(2006)


Research Articles(2010-2019)

  1. Xian Chen, Zhi-Ming Ma, Xue Peng, Distribution Flows Associated with Positivity Preserving Coercive Forms, Annals of Probability 2019, Vol. 47, No. 5, 2894-2929.

  2. Chen X., Ma ZM., Peng X., Positivity Preserving Semigroups and Positivity Preserving Coercive Forms. Springer Proceedings in Mathematics and Statistics, vol 229, 2018, Springer.

  3. Xian Chen and Zhi-Ming Ma, A transformation of Markov jump processes and applications in genetic study, Discrite and Continuous Dynamical Systems, Volume 34, Number 12,5061-5084, 2014.

  4. Xian Chen, Zhi-Ming Ma and Ying Wang, Markov jump processes in modelling coalescent with recombination, Annals of Statistics, Vol. 42, No. 4, 1361-1393, 2014.

  5. Further Study On Web Markov Skeleton Processes (with Yuting Liu, Chuan Zhou), in Stochastic Analysis and Applications to Finance, World Scientific, 2012.

  6. Fukushima's decomposition for diffusions associated with semi-Dirichlet forms(with L.Ma, W. Sun), Stochastics and Dynamics, Vol. 12, No. 04, 2012.

  7. G.L.Lan, Z.M.Ma and S.Y.Sun,Coverage of Random Discs Driven by a Poisson Point Process, in Probability Approximations and Beyond (Lecture Notes in Statistics,Volume 205) Springer, 2012.

  8. X.F.HAN, Z.M.Ma and W.Sun, h^h-transforms of Positivity Preserving Semigroups and Associated Markov Processes, Acta Mathematica Sinica, 27 (2011),1-8.

  9. Yuting Liu, Z.M.Ma and Chuan Zhou, Web Markov Skeleton Processes and their Applications, Tohoku Mathematical Journal, 63 (2011), 665-695.

  10. Z.M.Ma and W.Sun, Some Topics on Dirichlet Forms, in New Trends In Stochastic Analysis And Related Topics (Interdisciplinary Mathematical Sciences: Volume 12), World Scientific, 2011.

  11. Z.C.Hu, Z.M.Ma and W.Sun, On Representations of Non-Symmetric Dirichlet Forms, Potential Analysis, 2010, 32: 101-131.


Research Articles(2000-2009)

  1. Ze-Chun Hu, Zhi-Ming Ma, Wei Sun, Nonlinear filtering of Semi-Dirichlet processes, Stochastic Processes and their Applications, 119 (2009) 3890-3913

  2. Z.C.Hu,Z.M.Ma and W.Sun, Some Remarks on Representations of Non-symmetric Dirichlet Forms, Potential Theory and Stochastics in Albac, Theta, 2009

  3. Ying Bao, Gang Feng, Tie-Yan Liu, Zhi-Ming Ma, and Ying Wang, Ranking Websites: A Probabilistic View, Internet Mathematics., Volume 3 (2007), Issue 3

  4. Guo-Lie Lan ,Zhi-Ming Ma, Sun Suyong, Coverage Problem of Wireless Sensor Networks, Discrete and Computational Geometry, Lecture Notes in Computer Science 4381,Discrete Geometry, Combinatorics and Graph Theory, pp88-100, Springer 2007

  5. C.Z. Chen, Z.M. Ma and W. Sun , On Girsanov and generalized Feynman-Kac transformations for symmetric Markov processes. Infinite Dimensional Analy-sis, Quantum Probability and Related Topics, Vol. 10(2007), no. 2, 141-163.

  6. Reflected Symmetric alpha-Stable Processes and Regional Fractional Laplacian with Q.Y.Guan), Probability Theory and Related Fields, 134 (2006), 649-694

  7. Extensions of Levy-Khintchine formula and Beurling-Deny formula in semi-Dirichlet forms setting (with Ze-Chun Hu and Wei Sun), Journal of Functional Analysis,239 (2006), 179-213.

  8. Boundary Problems for Fractional Laplacians (with Q.Y.Guan), Stochastics and Dynamics, 2005 ,Vol. 5, No. 3.

  9. Beurling-Deny formula of semi-Dirichlet forms (with Z.C. Hu) C. R. Math. Acad. Sci. Paris 338 (2004), no. 7, 521--526.

  10. Superprosesses of stochastic flows (with Kai-Nan Xiang), Annals of Probability,29(2001), 317-343

  11. Introduction to Dirichlet forms. (in Chinese) J. Chongqing Norm. Univ. Nat. Sci. Ed. 18 (2001), no. 1, 1--7.

  12. Diffusions living on simple configuration spaces (with M. Rockner), Canadian Mathematical Society Conference Proceedings, Volume 28, 255-269, 2000


Research Articles I(before 2000)

  1. Approximation of arbitrary Dirichlet processes by Markov chains, (with M. R?ckner,T.S. Zhang), Ann. Inst. Henri Poincare, Vol.34, No. 1, 1-22, 1998

  2. Martingale representation and log-Sobolev inequality on loop space, (with F.Z.Gong), C.R.A.S. t.326. S′ere I, 749-753, 1998.

  3. Log-Sobolev inequality on loop space over a compact Riemannian manifold, (with F.Z.Gong), J. Functional Analysis, 157(1998), 599-621

  4. Admissible vector fields and related di_usions on infinite dimensional manifolds (with K.D. Elworthy), Ukrain. Mat. Zh. 49 (1997), no. 3, 410-423; translation in Ukrainian Math. J. 49 (1997), no. 3, 451-466 (1998)

  5. Vector fields on mapping spaces and related Dirichlet forms and di_usions (with K.D. Elworthy), Osaka J. Math., 34(1997), 629-651

  6. Some contributions in stochastic analysis by Chinese mathematicians, in "The 60th anniversiry of the Chinese Mathematical Society", Hunan press, 1997

  7. Stochastic differential geometry and infinite dimensional stochastic analysis, in "The tendency of natural sciences in the 21th century " , Chinese Academic Press, 1997

  8. A note on Beurling-Deny formulae in infinite dimensional spaces, (with Z.Dong,W,Sun),Acta Math. Appl. Sinica 13 (4), 353-361, 1997

  9. Partition of unity in Sobolev spaces over infinite dimensional state spaces (with S.Albeverio, M.R?ckner), J. Functional Analysis, Vol. 143, 247-268, 1997.

  10. The analytic operator-valued Feynman-integral via additive functional of Brownian motion, (with G.W. Johnson, S. Albeverio), Acta Appl. Math., 42, 267-295, 1996

  11. Invariance of Malliavin fields on Ito's Wiener space and on abstract Wiener space (with F. Z. Gong), J. Functional Analysis, Vol. 138, 449-476, 1996.

  12. Potential theory of quasi-regular Dirichlet forms without capacity, (with S. Albeverio,M. R?ckner), Proc. ICDFSP, de Gruyter, 47-54, 1995.

  13. Quasi-regular Dirichlet forms and applications, Proc. ICM94, 1006-1016, Birkh?user Verlag, Basel, 1995.

  14. Quasi-sure analysis on Ito's Wiener space (with F. Z. Gong), C.R.A.S. t.321. S′ere I,1609-1614, 1995.

  15. Characterization of non-symmetric semi-Dirichlet forms associated with Hunt processes (with S. Albeverio, M. R¨ockner), Random Operators and Stochastic Equations,3, 161-179, 1995.


Research Articles II(before 2000)

  1. One to one correspondence between markov processes and Dirichlet forms, Bulletin of the International Statistical Institute, IP 13.2 517-530, 1995.

  2. Some discussion about the research subject concerning stochastic analysis, in Bull.Academia Sinica, N0.4, 1995

  3. Markov processes associated with semi-Dirichlet forms, (with L. Overbeck, M. R?ckner),Osaka J. of Mathematics. Vol. 32, No.1 97-120, 1995.

  4. Markov processes associated with positive preserving coercive forms, (with M. R?ckner) Canadian J. Math., 47, 817-840, 1995.

  5. Quasi-homeomorphism of Dirichlet forms, (with Z. Chen, M. R?ckner), Nagoya J.Math. Vol. 136, 1-15, 1994.

  6. A remark on quasi-Radon measures, (with S. Albeverio, M. R¨ockner), SFB 256 Preprint, No. 281, 1993. To appear in Proceedings to the 3rd Ascona Conference on Probability, Mathematical Physics and Geometry.

  7. Quasi-regular Dirichlet forms and Markov processes, (with S. Albeverio, M. R?ckner), J. Functional Analysis, Vol. 111, 118-154, 1993

  8. A remark on the support of cadlag processes, (with S. Albeverio, M. R?ckner),Festschrift für G. Kallianpur, M. Dekker, Springer, New York, 1993

  9. An integral representation theorem for quasi-regular Dirichlet spaces, (with Z. Dong),Chinese Science Bulletin, Vol. 38, No. 15, 1355-1358, 1993

  10. Dirichlet forms and their applications to mathematics and physics, Advances in Math., Vol. 22, 46-68, 1993

  11. Local property of Dirichlet forms and di_usions on general state spaces, (with S.Albeverio, M. R?ckner), in Math. Ann., 296, 677-686, (1993).

  12. Characterization of (non-symmetric) Dirichlet forms associated with Hunt processes,(with S. Albeverio, M. R?ckner), SFB 256 Preprint, No. 238, 1992

  13. Characterization of Dirichlet forms associated with Hunt Processes, (with S. Albeverio),in "Stochastic and Quantum Mechanics", Ed. A. Truman, World Scientific,Singapore, 1992

  14. Non-symmetric Dirichlet forms and Markov processes on general state spaces, (with S. Albeverio, M. R?ckner), C.R.A.S. 314, S.I. 77-82, 1992

  15. Regularization of Dirichlet spaces and applications, (with S. Albeverio, M. R?ckner),C.R.A.S. 314, S.I. 859-864, 1992


Research Articles III(before 2000)

  1. A general correspondence between Dirichlet forms and right processes, (with S. Albeverio),Bulletin of the American Math. Society, (New series) Vol. 26, 245-252,1992

  2. Additive functionals, nowhere Radon and Kato class smooth measures, (with S. Albeverio),Osaka J. Math., 29 (1992), 247-265

  3. Probabilistic approach to semilinear boundary value problem, (with R.M. Song), Acta Mathematicae Applicatae Sinica, (English Series) 8 (1992), 214-228

  4. A Beurling-Deny type structure theorem for Dirichlet forms on general state space,(with S. Albeverio, M. R?ckner), in "Ideas and Methods in Mathematical Analysis,Stochastics and Applications", Cambridge University Press, 1992

  5. An invariance result for capacities on Wiener space, (with S. Albeverio, M. Fukushima et al.), J. Functional Analysis, Vol. 106, 35-49, 1992

  6. Perturbations of Dirichlet forms, lower semiboundedness, closability and form cores,(with S. Albeverio), J. Functional Analysis, 99 (1991), 332-356

  7. Diffusion processes associated with singular Dirichlet forms, (with S. Albeverio),"Stochastic Analysis and Applications", Ed. A.B. Cruzeiro et al., Birkh¨auser, 1991

  8. A note on quasi-continuous kernels representing quasi-linear positive maps, (with S.Albeverio), Forum Math., 3 (1991), 389-400

  9. Necessary and sufficient condition for the existence of m-perfect processes associated with Dirichlet forms, (with S. Albeverio), in Lecture Notes in Math., 1485, 374-406, Springer, 1991

  10. Feynman-Kac semigroups in terms of signed smooth measures, (with S. Albeverio,Ph. Blanchard), in "International Series of Numerical Mathematics", Vol. 102, p.1-31, Birkh¨auser, 1991

  11. Capacities on Wiener space: tightness and invariance, (with S. Albeverio, M. Fukushima et al.), C.R.A.S. 312 S. I, 931-935, 1991

  12. Semigroups of Schr¨odinger operators with potentials given by Radon measures, (with Ph. Blanchard), in "Stochastic Processes, Physics and Geometry", Ed. S. Albeverio et al., Word Scientific, 1990

  13. New results on the Schr?dinger semigroups with potentials given by signed smooth measures, (with Ph. Blanchard), in "Stochastic Analysis and Related Topics II" (Lecture Notes in Math. 1444), Springer-Verlag, 1990

  14. Perturbation by unbounded potentials, (with W. Hansen), Math. Ann., 287, 553-569,1990

  15. Probabilistic Methods in Schr?dinger Equations, (with R.M. Song), in "Seminar on Stochastic Processes (1989)", Ed. K.L. Chung et al., Birkh?user, 1990


Research Articles IV(before 2000)

  1. Some new results concerning Dirichlet forms, Feynman-Kac semigroups and Schr?dinger equations, in "Probability theory in China" (Contemporary Mathematics),American Math. Society, 1990

  2. Dirichlet forms and Markov fields - A report on recent developments, (with S. Albeverio,M. R?ckner), in "Di_usion Processes and Related Problems in Analysis", Ed.M. Pinsky, Birkh?user, 1990

  3. Nowhere Radon smooth measures, perturbation of Dirichlet forms and singular quadratic forms, (with S. Albeverio), in Lecture Notes in Control and Information Sciences 126, Springer-Verlag, 1989

  4. Probabilistic approach to Neumann problems with infinite gauge, (with R.M. Song),Acta Mathematicae Applicatae Sinica, Vol. 4, No. 7, 1988

  5. Probabilistic Treatment of Schr?dinger equation with infinite gauge, Scientia Sinica (A), Vol. XXX, No. 7, 1987

  6. Truncated gauge and Schr?dinger operator, (with Z. Zhao), Seminar on Stochastic processes (1986), Birkh¨auser, 1987

  7. On the probabilistic approach to Boundary value problems, BiBoS, Nr. 288, Bielefeld, 1987

  8. Smooth measures and Schr?dinger Semigroups, (with Ph. Blanchard), BiBoS, Nr.295, Bielefeld, 1987

  9. Probabilistic method of Schr?dinger equations having infinite gauge, Scientia Sinica (A, Chinese Edition), No. 2, 1987

  10. Queues and marked point processes, Chinese Journal of Applied Probability and Statistics, Vol. 2, No. 1, 52-57, 1986

  11. A sufficient and necessary condition for a distribution of independent sum to be continuous,(with W. An), Acta Mathematicae Applicatae Sinica, Vol. 8, No. 2, 204-209,1985

  12. Some results on regular conditional probabilities, Acta Mathematicae Sinica, New Series Vol. I, No. 4, 1985

  13. Lebesgue decomposition of random measure and related topics, Chinese Annals of Mathematics, Vol. 6, Ser. A, No. 5, 575-578, 1985

  14. Feynman-Kac semigroups and evolutions equation (I): On the density functions of Feynman-Kac semigroups, Advances in Mathematics, Vol. 14, No. 2, 182-183, 1985

  15. Feynman-Kac semigroups and evolutions equation (II): Evolution equations with discontinuous potential terms, Advances in Mathematics, Vol. 14, No. 2, 184-185, 1985


联系方式

北京市海淀区中关村东路55号数学与系统科学研究院,南楼619

010-82541745

mazm@amt.ac.cn