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ON THE SPECTRAL ASYMPTOTICS OF WAVES IN PERIODIC MEDIA WITH DIRICHLET OR NEUMANN EXCLUSIONS 期刊论文
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2021, 卷号: 74, 期号: 2, 页码: 173-221
Authors:  Oudghiri-Idrissi, Othman;  Guzina, Bojan B.;  Meng, Shixu
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Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
Authors:  Cui, Jianbo;  Hong, Jialin
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Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Spectral gap of sparse bistochastic matrices with exchangeable rows 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2020, 卷号: 56, 期号: 4, 页码: 2971-2995
Authors:  Bordenave, Charles;  Qiu, Yanqi;  Zhang, Yiwei
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Spectral gap  Random bistochastic matrices  High trace method  Tangled-free paths  
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  
TRANSPORTATION-INFORMATION INEQUALITIES FOR CONTINUUM GIBBS MEASURES 期刊论文
ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2011, 卷号: 16, 页码: 600-613
Authors:  Ma, Yutao;  Wang, Ran;  Wu, Liming
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transportation-information inequality  concentration inequality  Gibbs measure  Lyapunov function method  
Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2010, 卷号: 110, 期号: 3, 页码: 1475-1488
Authors:  Yang, Minbo;  Chen, Wenxiong;  Ding, Yanheng
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Discrete Schrodinger equation  Standing waves  Nonlinear lattices  
Remarks on the application of the Keldysh theorem to the completeness of root subspace of non-self-adjoint operators and comments on "Spectral operators generated by Timoshenko beam model" 期刊论文
SYSTEMS & CONTROL LETTERS, 2006, 卷号: 55, 期号: 12, 页码: 1029-1032
Authors:  Guo, Bao-Zhu;  Wang, Jun-Min
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Keldysh theorem  completeness  root subspace  generalized eigenvectors  
Poincare inequality for weighted first order Sobolev spaces on loop spaces 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 卷号: 185, 期号: 2, 页码: 527-563
Authors:  Gong, FH;  Rockner, M;  Liming, W
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An adaptive simulated annealing algorithm 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2001, 卷号: 94, 期号: 1, 页码: 95-103
Authors:  Gong, GL;  Liu, Y;  Qian, MP
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simulated annealing  adaptive algorithm  recognition of handwriting Chinese characters  estimate of spectral gap  
Simulated annealing with a potential function with discontinuous gradient on R-d 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 卷号: 44, 期号: 5, 页码: 571-578
Authors:  Gong, GL;  Liu, Y;  Qian, MP
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simulated annealing  self-organizing algorithm of Kohonen  log-Sobolev inequality  estimate of spectral gap