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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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Backward Stochastic Differential Equations Driven byG-Brownian Motion with Double Reflections
期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2020, 页码: 30
Authors:
Li, Hanwu
;
Song, Yongsheng
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Submit date:2021/01/14
G-expectation
Reflected backward SDE
Approximate Skorohod condition
Normal approximation by Stein's method under sublinear expectations
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2838-2850
Authors:
Song, Yongsheng
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View/Download:16/0
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Submit date:2020/06/30
Stein's method
Normal approximation
Sublinear expectation
G-normal distribution
Gradient estimates for nonlinear diffusion semigroups by coupling methods
期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 16
Authors:
Song, Yongsheng
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View/Download:17/0
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Submit date:2020/05/24
gradient estimates
coupling methods
G-expectation
nonlinear PDEs
Limit theorems with rate of convergence under sublinear expectations
期刊论文
BERNOULLI, 2019, 卷号: 25, 期号: 4A, 页码: 2564-2596
Authors:
Fang, Xiao
;
Peng, Shige
;
Shao, Qi-Man
;
Song, Yongsheng
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View/Download:41/0
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Submit date:2020/01/10
central limit theorem
G-normal distribution
law of large numbers
rate of convergence
Stein's method
sublinear expectation
Properties of G-martingales with finite variation and the application to G-Sobolev spaces
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 6, 页码: 2066-2085
Authors:
Song, Yongsheng
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View/Download:24/0
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Submit date:2020/01/10
G-martingales with finite variation
Generalized G-ito processes
Unique decomposition
G-Sobolev spaces
Supermartingale decomposition theorem under G-expectation
期刊论文
ELECTRONIC JOURNAL OF PROBABILITY, 2018, 卷号: 23, 页码: 20
Authors:
Li, Hanwu
;
Peng, Shige
;
Song, Yongsheng
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Submit date:2018/07/30
G-expectation
(E)over-cap(9)-supermartingale
(E)over-cap(9)-supermartingale decomposition theorem
Supermartingale decomposition theorem under G-expectation
期刊论文
ELECTRONIC JOURNAL OF PROBABILITY, 2018, 卷号: 23
Authors:
Li, Hanwu
;
Peng, Shige
;
Song, Yongsheng
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  |  
Submit date:2019/12/31
Stein type characterization for G-normal distributions
期刊论文
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2017, 卷号: 22, 页码: 12
Authors:
Hu, Mingshang
;
Peng, Shige
;
Song, Yongsheng
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Submit date:2018/07/30
G-normal distribution
Stein type characterization
G-expectation
A note on G-normal distributions
期刊论文
STATISTICS & PROBABILITY LETTERS, 2015, 卷号: 106, 页码: 142-146
Authors:
Song, Yongsheng
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View/Download:13/0
  |  
Submit date:2018/07/30
G-normal distribution
Cramer's decomposition
G-expectation weighted Sobolev spaces, backward SDE and path dependent PDE
期刊论文
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2015, 卷号: 67, 期号: 4, 页码: 1725-1757
Authors:
Peng, Shige
;
Song, Yongsheng
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View/Download:16/0
  |  
Submit date:2018/07/30
backward SDEs
partial differential equations
path dependent PDEs
G-expectation
G-martingale
Sobolev space
G-Sobolev space