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Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
Authors:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
Favorite  |  View/Download:51/0  |  Submit date:2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 36
Authors:  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:53/0  |  Submit date:2022/04/02
Phi(4)(3) model  Paracontrolled distributions  Weak universality  Space-time white noise  Renormalisation  
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs 期刊论文
POTENTIAL ANALYSIS, 2021, 页码: 28
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
Favorite  |  View/Download:57/0  |  Submit date:2021/10/26
Girsanov transform  Kolmogorov equation  Iteration scheme  Series expansion  Well posedness  
Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations 期刊论文
POTENTIAL ANALYSIS, 2020, 卷号: 53, 期号: 1, 页码: 183-202
Authors:  Dong, Zhao;  Zhang, Rangrang;  Zhang, Tusheng
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Freidlin-Wentzell's large deviations  Quailinear stochastic partial differential equations  Weak convergence approach  
Constantin and Iyer's Representation Formula for the Navier-Stokes Equations on Manifolds 期刊论文
POTENTIAL ANALYSIS, 2018, 卷号: 48, 期号: 2, 页码: 181-206
Authors:  Fang, Shizan;  Luo, Dejun
Favorite  |  View/Download:116/0  |  Submit date:2018/07/30
Navier-Stokes equations  Stochastic representation  de Rham-Hodge Laplacian  Stochastic flow  Pull-back vector field  
A Link Between the Log-Sobolev Inequality and Lyapunov Condition 期刊论文
POTENTIAL ANALYSIS, 2016, 卷号: 44, 期号: 4, 页码: 629-637
Authors:  Liu, Yuan
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Log-Sobolev inequality  Log-concave measure  Heat flow  Symmetric diffusion  Lyapunov condition  
A Probabilistic Proof of the Fundamental Gap Conjecture Via the Coupling by Reflection 期刊论文
POTENTIAL ANALYSIS, 2016, 卷号: 44, 期号: 3, 页码: 423-442
Authors:  Gong, Fuzhou;  Li, Huaiqian;  Luo, Dejun
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Schrodinger operator  Spectral gap  Ground state  Coupling by reflection  Logarithmic Sobolev inequality  
A Probabilistic Proof of the Fundamental Gap Conjecture Via the Coupling by Reflection (vol 44, pg 423, 2016) 期刊论文
POTENTIAL ANALYSIS, 2016, 卷号: 44, 期号: 3, 页码: 443-447
Authors:  Gong, Fuzhou;  Li, Huaiqian;  Luo, Dejun
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On Representations of Non-Symmetric Dirichlet Forms 期刊论文
POTENTIAL ANALYSIS, 2010, 卷号: 32, 期号: 2, 页码: 101-131
Authors:  Hu, Ze-Chun;  Ma, Zhi-Ming;  Sun, Wei
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Non-symmetric Dirichlet form  Beurling-Deny formula  LeJan's transformation rule  Levy-Khintchine type formula  
Invariant measures and symmetry property of Levy type operators 期刊论文
POTENTIAL ANALYSIS, 2000, 卷号: 13, 期号: 2, 页码: 147-168
Authors:  Albeverio, S;  Rudiger, B;  Wu, JL
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Levy type operators  stable (type) Levy measures  (regular infinitesimal) invariant probability measures  symmetrization