个人简介
教育背景
2003-09--2008-07 中科院 数学与系统科学研究院 博士
1999-09--2003-07 山东大学 数学学院 学士
工作简历
2020-03~现在, 中科院 数学与系统科学研究院, 研究员
2013-03~2020-02,中科院 数学与系统科学研究院, 副研究员
2008-07~2013-02,中科院 数学与系统科学研究院, 助理研究员
近期论文
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SupermartingaledecompositiontheoremunderG-expectation
LiH,PengSandSongY:Electron.J.Probab.23(2018),no.50,1-20.
SteintypecharacterizationforG-normaldistributions
HuM,PengSandSongY:Electron.Commun.Probab.22(2017),PaperNo.24,12pp.
G-expectationweightedSobolevspaces,backwardSDEandpathdependentPDE
PengSandSongY:J.Math.Soc.Japan,Vol.67(2015),No.4,1725–1757.
ANoteOnG-normalDistributions
SongY:Statistics&ProbabilityLetters,Volume106,November2015,Pages142–146.
BackwardStochasticDifferentialEquationsDrivenbyG-BrownianMotion
HuM,JiS,PengSandSongY:StochasticProcessesandtheirApplications124(2014),759-784.
Comparisontheorem,Feynman–KacformulaandGirsanovtransformationforBSDEsdrivenbyG-Brownianmotion
HuM,JiS,PengSandSongY:StochasticProcessesandtheirApplications124(2014),1170-1195.
Acompleterepresentationtheoremfor-normalG-martingales
PengS,SongY,andZhangJ:,Stochastics:AnInternationalJournalofProbabilityandStochasticProcesses,Vol.86(2014),No.4,609–631.
CharacterizationsofprocesseswithstationaryandindependentincrementsunderG-expectation
SongY:Annalesdel'InstitutHenriPoincare,Vol.49(2013),No.1,252–269.
UniquenessoftherepresentationforG-martingaleswithfinitevariation
SongY:Electron.J.Probab.17(2012),1-15.
PropertiesofhittingtimesforG-martingaleandtheirapplications
SongY:StochasticProcessesandtheirApplications121(2011)1770–1784.
SomepropertiesonG-evaluationanditsapplicationstoG-martingaledecomposition
SongY:ScienceChinaMathematics,54(2011),287-300.
Riskmeasureswithcomonotonicsubadditivityorconvexityandrespectingstochasticorders
SongYandYanJ:Insurance:MathematicsandEconomics45(2009),459-465.
TherepresentationsoftwotypesoffunctionalsonL∞(Ω,F)andL∞(Ω,F,P)
SongYandYanJ:ScienceinChinaSeriesA:Mathematics,49(2006),no.10,1376-1342.