基本信息
董昭  男  博导  中国科学院数学与系统科学研究院
email: dzhao@amt.ac.cn
address: 海淀中关村906楼314号
postalCode: 100190

招生信息

   
招生专业
070103-概率论与数理统计
070104-应用数学
071400-统计学
招生方向
随机过程,随机分析,随机微分方程
软件可靠性
应用概率

教育背景

1993-09--1996-04   中国科学院应用数学研究所   理学博士
1987-09--1990-07   北京师范大学数学系   理学硕士
1980-09--1984-07   北京师范大学   理学学士

工作经历

   
工作简历
2008-03~现在, 中国科学院数学与系统科学研究院, 研究员
2002-03~2008-03,中国科学院数学与系统科学研究院, 副研究员
1997-03~2002-03,中国科学院应用数学研究所, 副研究员
1993-09~1996-04,中国科学院应用数学研究所, 理学博士
1992-03~1997-03,中国科学院应用数学研究所, 助理研究员
1990-09~1992-03,中国科学院应用数学研究所, 实习研究员
1987-09~1990-07,北京师范大学数学系, 理学硕士
1980-09~1984-07,北京师范大学, 理学学士
社会兼职
2015-06-24-2018-06-24,中国概率统计学会常务理事,
2014-09-01-2018-09-01,数学通报编委, 编委
2013-08-01-今,博士生导师,
2010-07-01-今,中国运筹学会不确定分会, 副理事长

教授课程

微积分
微积分Ⅱ-C
微积分I-C
随机分析及其应用选讲

专利与奖励

   
奖励信息
(1) 宝钢优秀教师奖, 一等奖, 国家级, 2023
(2) 本科生优秀课程, 研究所(学校), 2023
(3) 李佩优秀教师奖, 一等奖, 其他, 2022
(4) 随机偏微分方程中的若干前沿问题的研究, 二等奖, 部委级, 2016
专利成果
( 1 ) 覆盖表约简的方法及系统, 2014, 第 4 作者, 专利号: CN 103605603 A 30-09

出版信息

   
发表论文
(1) Ergodicity for Stochastic Conservation Laws with Multiplicative Noise, COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 第 11 作者
(2) Dissipation enhancement by transport noise for stochastic p-Laplace equations, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 第 11 作者
(3) GLOBAL WELL-POSEDNESS AND REGULARITY OF STOCHASTIC 3D BURGERS EQUATION WITH MULTIPLICATIVE NOISE, SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 第 1 作者
(4) Dissipation enhancement by transport noise for stochastic p-Laplace equations, Nonlinear Differential Equations and Applications NoDEA, 2023, 第 1 作者
(5) Dissipation enhancement by transport noise for stochastic p-Laplace equations, Nonlinear Differential Equ, 2023, 第 1 作者
(6) Global Well Posedness of Stochastic 3D Primitive Equations with Anticipating Initial Data, Journal of Dynamics and Differential Equations, 2022, 第 1 作者
(7) A criterion on a repeller being a null set of any limit measure for stochastic differential equations, A criterion on a repeller being a null set of any limit measure for stochastic differential equations, SCIENCE CHINA-MATHEMATICS, 2021, 第 2 作者
(8) Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by alpha-stable Processes, POTENTIAL ANALYSIS, 2020, 第 1 作者
(9) On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity, On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity, SCIENCE CHINA-MATHEMATICS, 2020, 第 2 作者
(10) Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations, POTENTIAL ANALYSIS, 2020, 第 1 作者
(11) 3D tamed Navier-Stokes equations driven by multiplicative Levy noise: Existence, uniqueness and large deviations, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 第 1 作者
(12) LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING, ANNALS OF APPLIED PROBABILITY, 2020, 第 1 作者
(13) 3D tamed Navier-Stokes equations driven by multiplicative L��vy noise: Existence, uniqueness and large deviations, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 第 1 作者
(14) Ergodicity for a class of semilinear stochastic partial differential equations, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 第 1 作者
(15) A criterion on a repeller being a null set of any limit measure for stochastic differential equations, SCIENCE CHINA-MATHEMATICS, 2020, 第 2 作者
(16) Irreducibility and asymptotics of stochastic Burgers equation driven by ��-stable processes., Potential Anal., 2020, 第 1 作者
(17) kpz方程与kpz普适性简介献给王梓坤教授90华诞, 中国科学数学, 2019, 第 1 作者
(18) Derivative Formula and Coupling Property for Linear SDEs Driven by L′evy Processes, Derivative Formula and Coupling Property for Linear SDEs Driven by Levy Processes, ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 第 1 作者
(19) Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent convection, JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 第 2 作者
(20) Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise, ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 第 1 作者
(21) Long-time behavior of 3D stochastic planetary geostrophic viscous model, STOCHASTICS AND DYNAMICS, 2018, 第 1 作者
(22) Ergodicity of the 2D Navier-Stokes equations with degenerate multiplicative noise, ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 第 1 作者
(23) Integral representations for binomial sums of chances of winning, ARS MATHEMATICA CONTEMPORANEA, 2017, 第 11 作者
(24) Strong Feller properties for degenerate SDEs with jumps, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2016, 第 11 作者
(25) A Note on Distribution-Free Symmetrization Inequalities, JOURNAL OF THEORETICAL PROBABILITY, 2015, 第 1 作者
(26) Malliavin matrix of degenerate SDE and gradient estimate, ELECTRONIC JOURNAL OF PROBABILITY, 2014, 第 1 作者
(27) Exponential Ergodicity of Stochastic Burgers Equations Driven by alpha-Stable Processes, JOURNAL OF STATISTICAL PHYSICS, 2014, 第 1 作者
(28) Exponential Ergodicity of Stochastic Burgers Equations Driven by �� -Stable Processes, JOURNAL OF STATISTICAL PHYSICS,, 2014, 第 1 作者
(29) Refining a Randomized Post-optimization Method for Covering Arrays, 2014 SEVENTH IEEE INTERNATIONAL CONFERENCE ON SOFTWARE TESTING, VERIFICATION AND VALIDATION WORKSHOPS (ICSTW 2014), 2014, 第 2 作者
(30) Quantitative effects of software testing on reliability improvement in the presence of imperfect debugging, INFORMATION SCIENCES, 2013, 第 2 作者
(31) STATIONARY WEAK SOLUTIONS FOR STOCHASTIC 3D NAVIER-STOKES EQUATIONS WITH LEVY NOISE, STOCHASTICS AND DYNAMICS, 2012, 第 1 作者
(32) On NIP and invariant measures, JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2011, 
(33) Emergence of relativistic effect in probabilistic flooding of mobile ad hoc networks, PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 第 3 作者
(34) Phase transition on the degree sequence of a random graph process with vertex copying and deletion, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2011, 第 2 作者
(35) Martingale solutions and Markov selection of stochastic 3D Navier���Stokes equations with jump, JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 第 1 作者
(36) Ergodicity of stochastic 2D Navier-Stokes equations with Levy Noise, J. Diff. Equations, 2011, 第 1 作者
(37) Ergodicity of linear SPDE driven by L,vy noise, JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 第 11 作者
(38) Mathematics modeling of Software reliability testing with imperfect Debugging, Computers and Mathmatics with Applications, 2010, 第 1 作者
(39) An Optimal Release Policy for Software Testing Process, PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, 第 2 作者
(40) ERGODICITY OF LINEAR SPDE DRIVEN BY LEVY NOISE, ERGODICITY OF LINEAR SPDE DRIVEN BY LEVY NOISE, 系统科学与复杂性:英文版, 2010, 第 1 作者
(41) Mathematical modeling of software reliability testing with imperfect debugging, COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 第 3 作者
(42) ERGODICITY OF LINEAR SPDE DRIVEN BY LEVY NOISE, ERGODICITY OF LINEAR SPDE DRIVEN BY LEVY NOISE, 系统科学与复杂性:英文版, 2010, 第 1 作者
(43) Invariant measure and stability for the solution of infinite stochastic equation, STOCHA. PRO.AND THEIR APPLICATION, 2009, 第 1 作者
(44) Global solutions of stochastic 2D Navier-Stokes equations with Levy noise, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 第 11 作者
(45) ON THE DEGREE SEQUENCE OF AN EVOLVING RANDOM GRAPH PROCESS AND ITS CRITICAL PHENOMENON, JOURNAL OF APPLIED PROBABILITY, 2009, 第 2 作者
(46) On the uniqueness of invariant measure of the burgers equation driven by Levy processes, JOURNAL OF THEORETICAL PROBABILITY, 2008, 
(47) 关于软件可靠性测试的若干问题, On Several Issues in Software Reliability Testing, 工程数学学报, 2008, 第 2 作者
(48) Software testing processes as a linear dynamic system, INFORMATION SCIENCES, 2008, 第 2 作者
(49) 带跳的非线性随机微分方程的Lyapunov指数的估计, Approximation of Lyapunov Exponents of Nonlinear Stochastic Systems with Jumps, 应用数学学报, 2007, 第 1 作者
(50) A mathematical modeling framework for software reliability testing, INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2007, 第 2 作者
(51) One-dimensional stochastic Burgers equation driven by Levy processes, JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 
(52) Occupation time processes of super-Brownian motion with cut-off branching, JOURNAL OF APPLIED PROBABILITY, 2004, 
(53) Almost sure stability of linear stochastic differential equations with jumps, PROBABILITY THEORY AND RELATED FIELDS, 2002, 
(54) Cr,p-Capacity associated with Hunt processes, Osaka J. Math, 2000, 第 1 作者
(55) 关于一般马氏过程遍历性的一个注记, 应用概率统计, 2000, 第 1 作者
(56) 弱椭圆方程的解及应用, 河北师范大学学报:自然科学版, 1998, 第 1 作者
(57) anoteonbeurlingdenyformulaeininfinitedeimensionalspaces, ACTAMATHEMATICAEAPPLICATAESINICA, 1997, 第 1 作者
(58) 豫解核对应的狄氏型是拟正则的一个充分必要条件, 应用数学学报, 1997, 第 1 作者
(59) 拟正则狄氏空间的积分表现定理, 科学通报, 1993, 第 1 作者

科研活动

   
科研项目
( 1 ) 面向流体力学的随机偏微分 方程的分析和渐近性质研究, 负责人, 国家任务, 2015-01--2019-12
( 2 ) 无穷维随机微分方程遍历理论及其相关课题中的一些问题, 参与, 国家任务, 2014-01--2017-12
( 3 ) 软件可靠性测试的数学模型研究, 参与, 国家任务, 2013-01--2016-12
参与会议
(1)Exponential Convergence for 3D Stochastic Primitive Equations of the Large Scale Ocean   the International Conference on Probability Theory and Statistical Physics   董昭   2016-03-25