1.973项目名称为“信息及相关领域若干重大需求的应用数学研究”(theappliedmathematicalresearch fortheimportantstrategicdemandofChinaininformationscienceandrelatedfields), 项目编号:2011CB808000简称supportedby973Program(2011CB80800)2011.1-2015.8,2500万. 4.“中国科学院随机复杂结构与数据科学eyLaboratoryofRandomComplex StructuresandDataScience,AcademyofMathematicsandSystemsScience,ChineseAcademyof Sciences(No.2008DP173182)”,2015-2020.

Long-timebehaviorof3Dstochasticplanetarygeostrophicviscousmodel ZhaoDongandRangrangZhang,StochasticsandDynamics,2017 2.MarkovselectionandW-strongFellerfor3Dstochasticprimitiveequations DongZhao,ZhangRangRang,Sci.ChinaMath.60(2017),no.10,1873-1900 3.Largedeviationprinciplesfor3Dstochasticprimitiveequations DongZhao,ZhaiJianliang,ZhangRangrang,DifferentialEquations263(2017),no.5,3110-3146. 4.Integralrepresentationsforbinomialsumsofchancesofwinning. DongZhao,LiWenbo,SongChunwei.ArsMath.Contemp.12(2017).no.2,329-336. 5.Amoderatedeviationprinciplefor2-DstochasticNavier-StokesequationsdrivenbymultiplicativeLevynoises DongZhao,XiongJie,ZhaiJianliang,ZhangTusheng,Funct.Anal.271(2017),no.1,227-254. 6.OnsomesmootheningeffectsofthetransitionsemigroupofaLevyprocess DongZhao,Peszat,Szymon,XuLihu,Math.Anal.Appl.434(2016),no.2,1566-1580. 7.Anoteondistribution-freesymmetrizationinequalities DongZhao,LiJiange,LiWenbo.Theoret.Probab.28(2015),no.3,958-967. 8.StrongFellerpropertiesfordegenerateSDEswithjumps ZhaoDong,XuhuiPenga,YulinSongandXichengZhang,Annalesde1'InstituteHenriPoincare-ProbabilitiesetStatistiques. 9.MalliavinmatrixofdegenerateSDEandgradientestimate ZhaoDong,XuhuiPeng,Electron.J.Probab.19(2014),no.73,1-26. 10.ExponentialErgodicityofStochasticsBurgersEquationsDrivenbyalpha-StableProcess ZhaoDong,LihuXu,XichengZhang,StatPhys(2004)154:929-949. 11.ANoteonDistribution-FreeSymmetrizationInequalities ZhaoDong,JiangeLi,Wenbo.Li,TheorProbab,(2004)DOI10.1007/s10959-014-0538-z 12.QuantitativeEffectsofSoftwareTestingonReliablityImprovementinthePresenceofImperfectDebugging PingCao,ZhaoDong,KeLiu,InformationScience,218,119-132,2013 13.StationaryWeakSolutionsforStochastic3DNavier-StokesEquationswithLevyNoise ZhaoDong,WenboLi,JianliangZhai,StochasticsandDynamics,Vol.12,No.1(2012),1-22. 14.InvariantMeasuresofStochastic2D-Navier-StokesEquationsDrivenbyStableProcesses ZhaoDong,LihuXu,XichengZhang,Elect.Comm.inProbab.8(2011)1-11. 15.MartingaleSolutionsandMarkovSelectionofStochastic3D-Navier-StokesEquationswithJump DongZhao,ZhaijianLiang,Diff.Equation,250(2011)2737-2778.