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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载:77/0  |  提交时间:2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载:180/0  |  提交时间:2021/01/14
Kolmogorov equation  Numerical solution  Iteration schema  Gaussian process  
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
作者:  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载:203/0  |  提交时间:2020/01/10
Refined basic coupling  Levy jump process  Wasserstein-type distance  Strong ergodicity  
COUPLING BY REFLECTION AND HOLDER REGULARITY FOR NON-LOCAL OPERATORS OF VARIABLE ORDER 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 卷号: 371, 期号: 1, 页码: 431-459
作者:  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载:194/0  |  提交时间:2019/03/05
Stable-like process  non-local operator  Holder continuity  coupling by reflection  jump process  
Exponential convergence in L-p-Wasserstein distance for diffusion processes without uniformly dissipative drift 期刊论文
MATHEMATISCHE NACHRICHTEN, 2016, 卷号: 289, 期号: 14-15, 页码: 1909-1926
作者:  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载:165/0  |  提交时间:2018/07/30
Exponential convergence  Lp-Wasserstein distance  coupling by reflection  diffusion process  
Holder continuity of semigroups for time changed symmetric stable processes 期刊论文
Frontiers of Mathematics in China, 2016, 卷号: 11, 期号: 1, 页码: 109
作者:  Luo Dejun;  Wang Jian
收藏  |  浏览/下载:133/0  |  提交时间:2018/07/30
Quasi-invariance of the Stochastic Flow Associated to It's SDE with Singular Time-Dependent Drift 期刊论文
JOURNAL OF THEORETICAL PROBABILITY, 2015, 卷号: 28, 期号: 4, 页码: 1743-1762
作者:  Luo, Dejun
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Stochastic differential equation  Strong solution  Flow of homeomorphisms  Quasi-invariance  Zvonkin-type transformation  
Harnack inequalities for SDEs with multiplicative noise and non-regular drift 期刊论文
STOCHASTICS AND DYNAMICS, 2015, 卷号: 15, 期号: 3, 页码: 18
作者:  Li, Huaiqian;  Luo, Dejun;  Wang, Jian
收藏  |  浏览/下载:156/0  |  提交时间:2018/07/30
Harnack inequality  LPS condition  Holder continuity  Zvonkin transformation  
Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2015, 卷号: 87, 期号: 4, 页码: 680-701
作者:  Luo, Dejun
收藏  |  浏览/下载:137/0  |  提交时间:2018/07/30
Navier-Stokes equation  Brownian motion  group of volume-preserving homeomorphisms  rotation process