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CLT for approximating ergodic limit of SPDEs via a full discretization
期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 卷号: 157, 页码: 1-41
作者:
Chen, Chuchu
;
Dang, Tonghe
;
Hong, Jialin
;
Zhou, Tau
收藏
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浏览/下载：14/0
|
提交时间：2023/02/07
Central limit theorem
Stochastic partial differential equation
Full discretization
Poisson equation
Ergodic limit
Optimal Holder continuity and hitting probabilities for SPDEs with rough fractional noises
期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 512, 期号: 1, 页码: 21
作者:
Hong, Jialin
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浏览/下载：7/0
|
提交时间：2023/02/07
Stochastic partial differential equation
Fractional Brownian sheet
Hurst index H < 1/2
Holder exponent
Hitting probability
Linearization of nonlinear Fokker-Planck equations and applications
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:
Ren, Panpan
;
Roeckner, Michael
;
Wang, Feng-Yu
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|
浏览/下载：8/0
|
提交时间：2023/02/07
Nonlinear Fokker-Planck equation
McKean-Vlasov stochastic differential equation
Diffusion process
Ergodicity
Feynman-Kac formula
Solutions for nonlinear Fokker-Planck equations with measures as initial data and McKean-Vlasov equations
期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 卷号: 280, 期号: 7, 页码: 35
作者:
Barbu, Viorel
;
Roeckner, Michael
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浏览/下载：72/0
|
提交时间：2021/04/26
Fokker-Planck equation
m-accretive
Measure as initial data
McKean-Vlasov stochastic differential equation
Social Optima in Robust Mean Field LQG Control: From Finite to Infinite Horizon
期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 4, 页码: 1529-1544
作者:
Wang, Bing-Chang
;
Huang, Jianhui
;
Zhang, Ji-Feng
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浏览/下载：45/0
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提交时间：2021/06/01
Mathematical model
Games
Robustness
Uncertainty
Optimal control
Stochastic processes
Differential equations
Forward-backward stochastic differential equation (FBSDE)
linear quadratic optimal control
mean field control
model uncertainty
social functional variation
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations
期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
作者:
Rockner, Michael
;
Sun, Xiaobin
;
Xie, Yingchao
收藏
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浏览/下载：35/0
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提交时间：2021/04/26
Averaging principle
McKean-Vlasov stochastic differential equations
Slow-fast
Poisson equation
Strong convergence order
KALMAN-BUCY FILTERING AND MINIMUM MEAN SQUARE ESTIMATOR UNDER UNCERTAINTY
期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 卷号: 59, 期号: 4, 页码: 2669-2692
作者:
Ji, Shaolin
;
Kong, Chuiliu
;
Sun, Chuanfeng
;
Zhang, Ji-Feng
收藏
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浏览/下载：3/0
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提交时间：2022/04/02
Kalman-Bucy filtering
minimum mean square estimator
drift uncertainty
convex operator
minimax theorem
backward stochastic differential equation
A natural extension of Markov processes and applications to singular SDEs
期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2020, 卷号: 56, 期号: 4, 页码: 2480-2506
作者:
Beznea, Lucian
;
Cimpean, Iulian
;
Rockner, Michael
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浏览/下载：8/0
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提交时间：2021/01/14
Stochastic differential equation on Hilbert spaces
Stochastic PDE
Martingale problem
Not allowed starting point
Girsanov transform
Nonregular drift
Dirichlet form
Right process
Fine topology
Towards mesoscopic ergodic theory
期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 24
作者:
Qi, Weiwei
;
Shen, Zhongwei
;
Wang, Shirou
;
Yi, Yingfei
收藏
|
浏览/下载：6/0
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提交时间：2020/09/23
ergodic theory
stochastic differential equation
Fokker-Planck equation
stationary measure
physical measure
mesoscopic limit
Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises
期刊论文
数学研究通讯:英文版, 2020, 卷号: 36.0, 期号: 002, 页码: 113-127
作者:
Yanzhao Cao
;
Jialin Hong
;
Zhihui Liu
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浏览/下载：3/0
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提交时间：2021/01/14
Elliptic
stochastic
partial
differential
equation
spectral
approximations
finite
element
approximations
power-law
noise
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