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Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 165, 页码: 14
作者:  Zhong, Ming;  Yan, Zhenya
收藏  |  浏览/下载：67/0  |  提交时间：2023/02/07
Integrable fractional nonlinear wave equations  Fourier neural operator  Deep learning  Data-driven soliton mapping  Activation function  Channel of fully-connected layer  
The structure of entrance laws for time-inhomogeneous Ornstein-Uhlenbeck processes with Levy noise in Hilbert spaces 期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2021, 卷号: 24, 期号: 02, 页码: 23
作者:  Majid, Narges Rezvani;  Roeckner, Michael
收藏  |  浏览/下载：132/0  |  提交时间：2021/10/26
Entrance laws  evolution system of measures  Ornstein Uhlenbeck processes  Levy processes  integral representations  
Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces 期刊论文
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 页码: 49
作者:  Lunardi, Alessandra;  Rockner, Michael
收藏  |  浏览/下载：133/0  |  提交时间：2021/04/26
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
收藏  |  浏览/下载：117/0  |  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  
Quantum Strassen's theorem 期刊论文
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2020, 卷号: 23, 期号: 3, 页码: 29
作者:  Friedland, Shmuel;  Ge, Jingtong;  Zhi, Lihong
收藏  |  浏览/下载：105/0  |  提交时间：2021/04/26
Density matrices and operators  quantum marginals  quantum couplings  trace class operators  Hilbert-Schmidt operators  partial traces and weak operator convergence  SDP problems related to quantum marginals  Hausdorff metric  
Twisted Gamma-Lie algebras and their vertex operator representations 期刊论文
JOURNAL OF ALGEBRA, 2015, 卷号: 442, 页码: 202-232
作者:  Chen, Fulin;  Tan, Shaobin;  Wang, Qing
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
Twisted Gamma-Lie algebra  Vertex operator representation  
Uniqueness of Fokker-Planck equations for spin lattice systems (II): Non-compact case 期刊论文
SCIENCE CHINA-MATHEMATICS, 2014, 卷号: 57, 期号: 1, 页码: 161-172
作者:  Lemle Ludovic Dan;  Wang Ran;  Wu LiMing
收藏  |  浏览/下载：95/0  |  提交时间：2021/01/14
GENERALIZED SCHRODINGER-OPERATORS  STOCHASTIC DIFFERENTIAL-EQUATIONS  DIRICHLET OPERATORS  ISING-MODELS  DIFFUSIONS  MANIFOLDS  DYNAMICS  SPACES  spin lattice systems  Fokker-Planck equation  
On notions of harmonicity for non-symmetric Dirichlet form 期刊论文
SCIENCE CHINA-MATHEMATICS, 2010, 卷号: 53, 期号: 6, 页码: 1407-1420
作者:  Ma ZhiMing;  Zhu RongChan;  Zhu XiangChan
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
harmonic functions  uniformly integrable martingale  SPV integrable  non-symmetric Dirichlet forms  non-symmetric Beurling-Deny decomposition  Hunt processes  
Verma Modules over Quantum Torus Lie Algebras 期刊论文
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2010, 卷号: 62, 期号: 2, 页码: 382-399
作者:  Lue, Rencai;  Zhao, Kaiming
收藏  |  浏览/下载：68/0  |  提交时间：2018/07/30
Some omega-unique and omega-P properties for linear transformations on Hilbert spaces 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 卷号: 26, 期号: 1, 页码: 23-32
作者:  Miao, Xin-he;  Huang, Zheng-hai;  Han, Ji-ye
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Linear complementarity problem  Jordan product  Lorentz cone  omega-P property  column sufficient  property  omega-uniqueness property