# zbMATH — the first resource for mathematics

## Song, Jian

Compute Distance To:
 Author ID: song.jian.2 Published as: Song, J.; Song, Jian Homepage: http://drexel.edu/coas/faculty-research/faculty-directory/song-jian/ External Links: MGP · Wikidata
 Documents Indexed: 34 Publications since 2008
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#### Co-Authors

 1 single-authored 11 Hu, Yaozhong 5 Nualart, David 3 Song, Xiaoming 2 Chen, Xia 2 Lee, Chihoon 1 Han, Yuecai 1 Lee, Myung Hee 1 Ocone, Daniel L. 1 Xing, Fei 1 Xu, Fangjun 1 Zhang, Qi
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#### Serials

 2 The Annals of Probability 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Statistics & Probability Letters 1 Journal of Theoretical Probability 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Journal of Probability 1 Bernoulli 1 Statistical Inference for Stochastic Processes 1 Stochastics
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#### Fields

 14 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 2 Partial differential equations (35-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

21 Publications have been cited 157 times in 125 Documents Cited by Year
Feynman-Kac formula for heat equation driven by fractional white noise. Zbl 1210.60056
Hu, Yaozhong; Nualart, David; Song, Jian
2011
$$(2+1)$$ dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method. Zbl 1371.86021
Zhang, Ruigang; Yang, Liangui; Song, Jian; Yang, Hongli
2017
Exponential asymptotics for time-space Hamiltonians. Zbl 1337.60201
Chen, Xia; Hu, Yaozhong; Song, Jian; Xing, Fei
2015
Parameter estimation for fractional Ornstein-Uhlenbeck processes with discrete observations. Zbl 1268.62100
Hu, Yaozhong; Song, Jian
2013
Fractional martingales and characterization of the fractional Brownian motion. Zbl 1196.60075
Hu, Yaozhong; Nualart, David; Song, Jian
2009
Integral representation of renormalized self-intersection local times. Zbl 1166.60047
Hu, Yaozhong; Nualart, David; Song, Jian
2008
A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution. Zbl 1272.60043
Hu, Yaozhong; Nualart, David; Song, Jian
2013
Asymptotic behavior of the solution of heat equation driven by fractional white noise. Zbl 1239.60061
Song, Jian
2012
Temporal asymptotics for fractional parabolic Anderson model. Zbl 1390.60101
Chen, Xia; Hu, Yaozhong; Song, Jian; Song, Xiaoming
2018
Parameter estimation for reflected Ornstein-Uhlenbeck processes with discrete observations. Zbl 1327.62451
Hu, Yaozhong; Lee, Chihoon; Lee, Myung Hee; Song, Jian
2015
On drift parameter estimation for reflected fractional Ornstein-Uhlenbeck processes. Zbl 1352.60058
Lee, Chihoon; Song, Jian
2016
Some results on backward stochastic differential equations driven by fractional Brownian motions. Zbl 1276.60062
Hu, Yaozhong; Ocone, Daniel; Song, Jian
2012
Supply chain coordination through integration of innovation effort and advertising support. Zbl 07163475
Song, Jian; Li, Feng; Wu, Desheng Dash; Liang, Liang; Dolgui, Alexandre
2017
Hyperbolic Anderson Model with space-time homogeneous Gaussian noise. Zbl 1386.60210
Balan, Raluca M.; Song, Jian
2017
Maximum principle for general controlled systems driven by fractional Brownian motions. Zbl 1270.49021
Han, Yuecai; Hu, Yaozhong; Song, Jian
2013
$${(2+1)}$$-dimensional nonlinear Rossby solitary waves under the effects of generalized beta and slowly varying topography. Zbl 1391.76082
Zhang, Ruigang; Yang, Liangui; Song, Jian; Liu, Quansheng
2017
A remark on constant scalar curvature Kähler metrics on minimal models. Zbl 1419.53069
Jian, Wangjian; Shi, Yalong; Song, Jian
2019
Limit theorems for functionals of two independent Gaussian processes. Zbl 1448.60081
Song, Jian; Xu, Fangjun; Yu, Qian
2019
Second order Lyapunov exponents for parabolic and hyperbolic Anderson models. Zbl 1428.62408
Balan, Raluca M.; Song, Jian
2019
Alternative approaches to the crude oil tanker routing and scheduling problem with split pickup and split delivery. Zbl 1346.90122
Hennig, F.; Nygreen, B.; Furman, K. C.; Song, J.
2015
The $$\frac{4}{3}$$-variation of the derivative of the self-intersection Brownian local time and related processes. Zbl 1306.60113
Hu, Yaozhong; Nualart, David; Song, Jian
2014
A remark on constant scalar curvature Kähler metrics on minimal models. Zbl 1419.53069
Jian, Wangjian; Shi, Yalong; Song, Jian
2019
Limit theorems for functionals of two independent Gaussian processes. Zbl 1448.60081
Song, Jian; Xu, Fangjun; Yu, Qian
2019
Second order Lyapunov exponents for parabolic and hyperbolic Anderson models. Zbl 1428.62408
Balan, Raluca M.; Song, Jian
2019
Temporal asymptotics for fractional parabolic Anderson model. Zbl 1390.60101
Chen, Xia; Hu, Yaozhong; Song, Jian; Song, Xiaoming
2018
$$(2+1)$$ dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method. Zbl 1371.86021
Zhang, Ruigang; Yang, Liangui; Song, Jian; Yang, Hongli
2017
Supply chain coordination through integration of innovation effort and advertising support. Zbl 07163475
Song, Jian; Li, Feng; Wu, Desheng Dash; Liang, Liang; Dolgui, Alexandre
2017
Hyperbolic Anderson Model with space-time homogeneous Gaussian noise. Zbl 1386.60210
Balan, Raluca M.; Song, Jian
2017
$${(2+1)}$$-dimensional nonlinear Rossby solitary waves under the effects of generalized beta and slowly varying topography. Zbl 1391.76082
Zhang, Ruigang; Yang, Liangui; Song, Jian; Liu, Quansheng
2017
On drift parameter estimation for reflected fractional Ornstein-Uhlenbeck processes. Zbl 1352.60058
Lee, Chihoon; Song, Jian
2016
Exponential asymptotics for time-space Hamiltonians. Zbl 1337.60201
Chen, Xia; Hu, Yaozhong; Song, Jian; Xing, Fei
2015
Parameter estimation for reflected Ornstein-Uhlenbeck processes with discrete observations. Zbl 1327.62451
Hu, Yaozhong; Lee, Chihoon; Lee, Myung Hee; Song, Jian
2015
Alternative approaches to the crude oil tanker routing and scheduling problem with split pickup and split delivery. Zbl 1346.90122
Hennig, F.; Nygreen, B.; Furman, K. C.; Song, J.
2015
The $$\frac{4}{3}$$-variation of the derivative of the self-intersection Brownian local time and related processes. Zbl 1306.60113
Hu, Yaozhong; Nualart, David; Song, Jian
2014
Parameter estimation for fractional Ornstein-Uhlenbeck processes with discrete observations. Zbl 1268.62100
Hu, Yaozhong; Song, Jian
2013
A nonlinear stochastic heat equation: Hölder continuity and smoothness of the density of the solution. Zbl 1272.60043
Hu, Yaozhong; Nualart, David; Song, Jian
2013
Maximum principle for general controlled systems driven by fractional Brownian motions. Zbl 1270.49021
Han, Yuecai; Hu, Yaozhong; Song, Jian
2013
Asymptotic behavior of the solution of heat equation driven by fractional white noise. Zbl 1239.60061
Song, Jian
2012
Some results on backward stochastic differential equations driven by fractional Brownian motions. Zbl 1276.60062
Hu, Yaozhong; Ocone, Daniel; Song, Jian
2012
Feynman-Kac formula for heat equation driven by fractional white noise. Zbl 1210.60056
Hu, Yaozhong; Nualart, David; Song, Jian
2011
Fractional martingales and characterization of the fractional Brownian motion. Zbl 1196.60075
Hu, Yaozhong; Nualart, David; Song, Jian
2009
Integral representation of renormalized self-intersection local times. Zbl 1166.60047
Hu, Yaozhong; Nualart, David; Song, Jian
2008
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#### Cited by 178 Authors

 12 Hu, Yaozhong 11 Yang, Hongwei 9 Nualart, David 8 Song, Jian 7 Chen, Xia 7 Yan, Litan 6 Es-Sebaiy, Khalifa 5 Balan, Raluca M. 5 Liu, Quansheng 4 Le, Khoa N. 4 Yang, Liangui 4 Yu, Xianye 4 Zang, Qingpei 3 Dong, Huanhe 3 Douissi, Soukaina 3 Gu, Yu 3 Guo, Min 3 Lee, Chihoon 3 Mishura, Yuliya Stepanivna 3 Song, Xiaoming 3 Sun, Xichao 3 Tao, Mengshuang 3 Viens, Frederi G. 3 Xu, Fangjun 3 Yin, Xiaojun 3 Zhang, Li-Xin 3 Zhang, Ruigang 2 Bock, Wolfgang 2 Buckdahn, Rainer 2 Chen, Le 2 da Silva, José Luís 2 Deya, Aurélien 2 Fattler, Torben 2 Huang, Jingyu 2 Jing, Shuai 2 Kalbasi, Kamran 2 Kolokoltsov, Vassili N. 2 Liu, Junfeng 2 Miao, Lijun 2 Ren, Yanwei 2 Ryzhik, Lenya 2 Saussereau, Bruno 2 Shen, Guangjun 2 Shi, Yufeng 2 Song, Jian 2 Streit, Ludwig 2 Troeva, Marianna S. 2 Wang, Ruyun 2 Wen, Jiaqiang 2 Wu, Guorong 2 Xia, Dengfeng 2 Yin, Xiuwei 2 Zhao, Baojun 2 Zhu, Chenglian 1 Acevedo Chedid, Jaime 1 Al-Yakoob, Salem Mohammed 1 Alazemi, Fares 1 Bajja, Salwa 1 Bal, Guillaume 1 Bender, Christian 1 Cárdenas-Barrón, Leopoldo Eduardo 1 Chen, Feng 1 Chen, Liguo 1 Chen, Qin 1 Chen, Xia 1 Chen, Yaodeng 1 Chen, Yong 1 Cheng, Panhong 1 Cheng, Yiying 1 Chronopoulou, Alexandra 1 Conus, Daniel 1 Cui, Jianbo 1 Cui, Jifeng 1 Dalang, Robert C. 1 Deilami Azodi, H. 1 Dong, Haoyu 1 El Machkouri, Mohamed 1 Fellouris, Georgios 1 Florez, Whady Felipe 1 Fu, Chen 1 Fu, Lei 1 Gao, Dezhi 1 Ghasemy Yaghin, R. 1 Gnedin, Alexander V. 1 Grothaus, Martin 1 Gu, Lufeng 1 Guo, Feng 1 Guo, Jingjun 1 Han, Yuecai 1 Han, Zheng 1 He, Hailun 1 Herrell, Randall 1 Hong, Minhao 1 Hu, Ying 1 Huang, Fushan 1 Huang, Yimin 1 Ibrahim, Rabha Waell 1 Iksanov, Aleksander M. 1 Jalab, Hamid A. 1 Jian, Wangjian ...and 78 more Authors
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#### Cited in 60 Serials

 10 Statistics & Probability Letters 8 The Annals of Probability 8 Stochastic Processes and their Applications 5 Journal of Mathematical Analysis and Applications 5 Advances in Difference Equations 4 Journal of Theoretical Probability 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Mathematical Problems in Engineering 3 Computers & Mathematics with Applications 3 Applied Mathematical Modelling 3 Bernoulli 3 Stochastics and Dynamics 2 Journal of Statistical Physics 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Journal of Applied Probability 2 Journal of Functional Analysis 2 Stochastic Analysis and Applications 2 Probability Theory and Related Fields 2 Complexity 2 Electronic Journal of Probability 2 Abstract and Applied Analysis 2 Statistical Inference for Stochastic Processes 2 Boundary Value Problems 2 Journal of the Korean Statistical Society 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Communications in Theoretical Physics 2 Science China. Mathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Advances in Applied Probability 1 Communications in Mathematical Physics 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Journal of Statistical Planning and Inference 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Acta Applicandae Mathematicae 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Fractional Calculus & Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Modelling and Control 1 Quantitative Finance 1 Stochastic Models 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Industrial and Management Optimization 1 Electronic Journal of Statistics 1 Journal of Nonlinear Science and Applications 1 Communications in Mathematics and Statistics 1 Problemy Analiza. Issues of Analysis 1 Journal of Linear and Topological Algebra 1 Journal of Function Spaces 1 AIMS Mathematics
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#### Cited in 24 Fields

 93 Probability theory and stochastic processes (60-XX) 35 Partial differential equations (35-XX) 20 Statistics (62-XX) 9 Fluid mechanics (76-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Systems theory; control (93-XX) 5 Geophysics (86-XX) 4 Quantum theory (81-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX)

#### Wikidata Timeline

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