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On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 8, 页码: 1463-1504
Authors:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Zhai, Jianliang
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stationary measure  Lyapunov function  limit measure  support  Birkhoff center  stochastic evolution system  
Refined basic couplings and Wasserstein-type distances for SDEs with Levy noises 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 卷号: 129, 期号: 9, 页码: 3129-3173
Authors:  Luo, Dejun;  Wang, Jian
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Refined basic coupling  Levy jump process  Wasserstein-type distance  Strong ergodicity  
Derivative Formula and Coupling Property for Linear SDEs Driven by Levy Processes 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2019, 卷号: 35, 期号: 4, 页码: 708-721
Authors:  Dong, Zhao;  Song, Yu-lin;  Xie, Ying-chao
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Levy processes  integration by parts formula  derivative formula  coupling property  
UNCERTAINTY QUANTIFICATION WITH alpha-STABLE-PROCESS MODELS 期刊论文
STATISTICA SINICA, 2018, 卷号: 28, 期号: 2, 页码: 553-576
Authors:  Tuo, Rui
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Computer experiments  kriging  Levy processes  stable distributions  
INVARIANT MEASURES OF STOCHASTIC 2D NAVIER-STOKES EQUATIONS DRIVEN BY alpha-STABLE PROCESSES 期刊论文
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2011, 卷号: 16, 页码: 678-688
Authors:  Dong, Zhao;  Xu, Lihu;  Zhang, Xicheng
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alpha-stable process  Stochastic Navier-Stokes equation  Invariant measure  
Martingale solutions and Markov selection of stochastic 3D Navier-Stokes equations with jump 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 250, 期号: 6, 页码: 2737-2778
Authors:  Dong, Zhao;  Zhai, Jianliang
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3D Navier-Stokes equation  Martingale solutions  Markov selection  Levy processes  
SLE and alpha-SLE driven by Levy processes 期刊论文
ANNALS OF PROBABILITY, 2008, 卷号: 36, 期号: 4, 页码: 1221-1266
Authors:  Guan, Qing-Yang;  Winkel, Matthias
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stochastic Loewner evolution  Levy process  alpha-stable process  self-similarity  hitting times  
On the uniqueness of invariant measure of the burgers equation driven by Levy processes 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2008, 卷号: 21, 期号: 2, 页码: 322-335
Authors:  Dong, Z.
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Burgers equations  Poisson process  Q-Wiener process  mild solution  invariant measure  
One-dimensional stochastic Burgers equation driven by Levy processes 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 卷号: 243, 期号: 2, 页码: 631-678
Authors:  Dong, Z.;  Xu, T. G.
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Burgers equation  Levy process  Q-Wiener process  strong solution  weak solution  mild solution  invariant measure  
Extensions of Levy-Khintchine formula and Beurling-Deny formula in semi-Dirichlet forms setting 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 卷号: 239, 期号: 1, 页码: 179-213
Authors:  Hu, Ze-Chun;  Ma, Zhi-Ming;  Sun, Wei
Favorite  |  View/Download:27/0  |  Submit date:2018/07/30
Levy-Khintchine formula  Beurling-Deny formula  quasi-regular semi-Dirichlet form  local compactification  integral representation  quasi-compatible metric