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## Chen, Mu-Fa

Compute Distance To:
 Author ID: chen.mu-fa Published as: Chen, M.; Chen, M.-F.; Chen, Mu Fa; Chen, Mu-Fa; Chen, Mufa External Links: ResearchGate · dblp · GND
 Documents Indexed: 127 Publications since 1980, including 4 Books Reviewing Activity: 209 Reviews Biographic References: 1 Publication
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#### Co-Authors

 79 single-authored 5 Wang, Fengyu 5 Yan, Shijian 5 Zhang, Yuhui 4 Ding, Wanding 3 Wang, Feng-Yu 3 Wang, Lingdi 2 Li, Yueshuang 2 Lu, Yun Gang 2 Zhou, Xianyin 1 Hou, Zhenting 1 Huang, Danhua 1 Li, Jinyu 1 Li, Shaofu 1 Li, Yong 1 Mao, Yonghua 1 Scacciatelli, E. 1 Shlosman, Senya B. 1 Stroock, Daniel W. 1 Vaserstein, Leonid N. 1 Wang, Yingzhe 1 Yan, Shijing 1 Yao, Liang 1 Zhang, Xu 1 Zhao, Xiaoliang 1 Zheng, Xiaogu 1 Zhu, Dongjin
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#### Serials

 17 Frontiers of Mathematics in China 8 Chinese Journal of Applied Probability and Statistics 8 Science in China. Series A 8 Acta Mathematica Sinica. New Series 8 Chinese Science Bulletin 8 Acta Mathematica Sinica. English Series 4 Acta Mathematica Sinica 4 Chinese Annals of Mathematics 4 Chinese Annals of Mathematics. Series B 4 Advances in Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Acta Mathematica Scientia 2 The Annals of Probability 2 Journal of Functional Analysis 2 Journal of Beijing Normal University. Natural Science 2 Scientia Sinica. Series A 2 Communications in Mathematics and Statistics 1 Journal of Statistical Physics 1 Journal of Applied Probability 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 The Annals of Applied Probability 1 Stochastic Processes and their Applications 1 Kexue Tongbao 1 Potential Analysis 1 Special Matrices 1 World Scientific Series on Probability Theory and Its Applications 1 Probability and its Applications
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#### Fields

 86 Probability theory and stochastic processes (60-XX) 15 Partial differential equations (35-XX) 15 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Real functions (26-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 4 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

93 Publications have been cited 1,317 times in 701 Documents Cited by Year
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
Bona, J. L.; Chen, M.; Saut, J.-C.
2002
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
Bona, J. L.; Chen, M.; Saut, J.-C.
2004
From Markov chains to non-equilibrium particle systems. 2nd ed. Zbl 1078.60003
Chen, Mu-Fa
2004
From Markov chains to non-equilibrium particle systems. Zbl 0753.60055
Chen, Mu Fa
1992
Eigenvalues, inequalities, and ergodic theory. Zbl 1079.60005
Chen, Mu-Fa
2005
Coupling methods for multidimensional diffusion processes. Zbl 0686.60083
Chen, Mufa; Li, Shaofu
1989
Estimation of spectral gap for elliptic operators. Zbl 0872.35072
Chen, Mu-Fa; Wang, Feng-Yu
1997
Estimation of spectral gap for Markov chains. Zbl 0867.60038
Chen, Mufa
1996
Speed of stability for birth-death processes. Zbl 1220.60044
Chen, Mu-Fa
2010
Explicit bounds of the first eigenvalue. Zbl 1054.60082
Chen, Mufa
2000
General formula for lower bound of the first eigenvalue on Riemannian manifolds. Zbl 0895.58056
Chen, Mufa; Wang, Fengyu
1997
Application of coupling method to the first eigenvalue on manifold. Zbl 0799.53044
Chen, Mufa; Wang, Fengyu
1994
Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J.
2006
Analytic proof of dual variational formula for the first eigenvalue in dimension one. Zbl 0936.35120
Chen, Mufa
1999
Optimal Markovian couplings and applications. Zbl 0813.60068
Chen, Mufa
1994
Variational formulas and approximation theorems for the first eigenvalue in dimension one. Zbl 1012.34078
Chen, Mufa
2001
Equivalence of exponential ergodicity and $$L^ 2$$-exponential convergence for Markov chains. Zbl 1045.60078
Chen, Mu-Fa
2000
On order-preservation and positive correlations for multidimensional diffusion processes. Zbl 0792.60072
Chen, Mufa; Wang, Fengyu
1993
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1044.60078
Chen, Mu-Fa; Wang, Feng-Yu
2000
Estimates of logarithmic Sobolev constant: An improvement of Bakry-Emery criterion. Zbl 0872.58066
Chen, Mu-Fa; Wang, Feng-Yu
1997
Estimation of the first eigenvalue of second order elliptic operators. Zbl 0837.35102
Chen, Mufa; Wang, Fengyu
1995
Coupling for jump processes. Zbl 0615.60078
Chen, Mufa
1986
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1017.60083
Chen, Mufa; Wang, Fengyu
1998
Exponential $$L^ 2$$-convergence and $$L^ 2$$-spectral gap for Markov processes. Zbl 0738.60076
Chen, Mufa
1991
Trilogy of couplings and general formulas for lower bound of spectral gap. Zbl 1044.60513
Chen, Mu-Fa
1998
Nash inequalities for general symmetric forms. Zbl 0938.60067
Chen, Mufa
1999
A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. Zbl 1378.74067
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M.
2017
Isospectral operators. Zbl 1310.47047
Chen, Mu-Fa; Zhang, Xu
2014
Bilateral Hardy-type inequalities. Zbl 1263.26028
Chen, Mu Fa
2013
Variational formulas of Poincaré-type inequalities for birth-death processes. Zbl 1040.60064
Chen, Mu Fa
2003
Algebraic convergence of Markov chains. Zbl 1030.60070
Chen, Mu-Fa; Wang, Ying-Zhe
2003
Logarithmic Sobolev inequality for symmetric forms. Zbl 0961.46021
Chen, Mufa
2000
Infinite dimensional reaction-diffusion processes. Zbl 0613.60070
Chen, Mufa
1985
Capacitary criteria for Poincaré-type inequalities. Zbl 1076.60064
Chen, Mu-Fa
2005
Single birth processes. Zbl 0922.60068
Chen, Mufa
1999
Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line. Zbl 1063.26008
Chen, Mu Fa
2002
The principal eigenvalue for jump processes. Zbl 0963.60078
Chen, Mufa
2000
Estimate of exponential convergence rate in total variation by spectral gap. Zbl 0907.60067
Chen, Mufa
1998
Existence theorems for interacting particle systems with non-compact state spaces. Zbl 0667.60099
Chen, Mufa
1987
The optimal constant in Hardy-type inequalities. Zbl 1318.26035
Chen, Mu-Fa
2015
Criteria for discrete spectrum of 1D operators. Zbl 1309.47005
Chen, Mu-Fa
2014
Basic estimates of stability rate for one-dimensional diffusions. Zbl 1317.60096
Chen, Mu-Fa
2012
Coupling, spectral gap and related topics. I. Zbl 0892.58078
Chen, Mufa
1997
On three classical problems for Markov chains with continuous time parameters. Zbl 0761.60064
Chen, Mufa
1991
Efficient initials for computing maximal eigenpair. Zbl 1372.65105
Chen, Mu-Fa
2016
Unified representation of formulas for single birth processes. Zbl 1318.60085
Chen, Mu-Fa; Zhang, Yuhui
2014
Dual variational formulas for the first Dirichlet eigenvalue on half-line. Zbl 1090.34068
Chen, Mufa; Zhang, Yuhui; Zhao, Xiaoliang
2003
Explicit criteria for several types of ergodicity. Zbl 1153.60385
Chen, Mufa
2001
Optimal couplings and application to Riemannian geometry. Zbl 0843.60090
Chen, Mufa
1994
Applications of Malliavin calculus to stochastic differential equations with time-dependent coefficients. Zbl 0751.60048
Chen, Mufa; Zhou, Xianyin
1991
Multi-dimensional Q-processes. Zbl 0596.60074
Yan, Shijian; Chen, Mufa
1986
Reversible Markov processes in abstract space. Zbl 0468.60067
Chen, Mufa
1980
Hermitizable, isospectral complex matrices or differential operators. Zbl 1415.15035
Chen, Mu-Fa
2018
Global algorithms for maximal eigenpair. Zbl 1382.65099
Chen, Mu-Fa
2017
Practical criterion for uniqueness of $$Q$$-processes. Zbl 1340.60122
Chen, Mufa
2015
Mixed principal eigenvalues in dimension one. Zbl 1284.60147
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
2013
Uniqueness of reaction diffusion processes. Zbl 0798.60089
Chen, Mufa
1991
The charming leading eigenpair. Zbl 1399.15011
Chen, Mufa
2017
Mixed eigenvalues of discrete $$p$$-Laplacian. Zbl 1336.39004
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
2014
Lower bounds of principal eigenvalue in dimension one. Zbl 1263.34122
Chen, Mu-Fa
2012
General estimate of the first eigenvalue on manifolds. Zbl 1267.58007
Chen, Mu-Fa
2011
A new story of ergodic theory. Zbl 1011.60056
Chen, Mu-Fa
2002
Eigenvalues, inequalities and ergodic theory. Zbl 1039.58030
Chen, Mufa
2000
The range of random walk on trees and related trapping problem. Zbl 0889.60078
Chen, Mufa; Yan, Shijian; Zhou, Xianyin
1997
On coupling of jump processes. Zbl 0749.60075
Chen, Mufa
1991
Ergodic theorems for reaction-diffusion processes. Zbl 0714.60070
Chen, Mufa
1990
Stationary distributions of infinite particle systems with noncompact state space. Zbl 0688.60079
Chen, Mufa
1989
Uniqueness criterion for q-processes. Zbl 0517.60079
Chen, Mufa; Zheng, Xiaogu
1983
Markov processes and field theory. Zbl 0506.60068
Hou, Zhenting; Chen, Mufa
1980
Trilogy on computing maximal eigenpair. Zbl 1385.65030
Chen, Mu-Fa
2017
Exponential convergence rate in entropy. Zbl 1152.60059
Chen, Mufa
2007
Ergodic convergence rates of Markov processes – eigenvalues, inequalities and ergodic theory. Zbl 1136.35429
Chen, Mufa
2002
Coupling, spectral gap and related topics. III. Zbl 0892.58080
Chen, Mufa
1997
A Comment on the book “Continuous-time Markov chains” by W. J. Anderson. Zbl 0953.60538
Chen, Mufa
1996
Comparison theorems for Green functions of Markov chains. Zbl 0757.60059
Chen, Mufa
1991
On evaluating the rate function of large deviations for jump processes. Zbl 0721.60031
Chen, Mufa; Lu, Yungang
1990
Potentiality and reversibility for general speed functions. II: Compact state spaces. Zbl 0534.60098
Yan, Shijing; Chen, Mufa; Ding, Wanding
1982
On spectrum of Hermitizable tridiagonal matrices. Zbl 1458.15014
Chen, Mu-Fa
2020
Development of powerful algorithm for maximal eigenpair. Zbl 07089556
Chen, Mu-Fa; Li, Yue-Shuang
2019
Noether symmetrical perturbation and adiabatic invariants for disturbed non-material volumes. Zbl 1430.70055
Jiang, W. A.; Liu, K.; Zhao, G. L.; Chen, M.
2018
Mei symmetry and new conserved quantities for non-material volumes. Zbl 1437.70049
Jiang, W. A.; Liu, K.; Xia, Z. W.; Chen, M.
2018
Efficient algorithm for principal eigenpair of discrete $$p$$-Laplacian. Zbl 1398.65058
Chen, Mu-Fa
2018
Existence and asymptotic representation of the autowave solution of a system of equations. Zbl 1458.35426
Melnikova, A. A.; Chen, M.
2018
Unified speed estimation of various stabilities. Zbl 1338.60186
Chen, Mu-Fa
2016
Mixed eigenvalues of $$p$$-Laplacian. Zbl 1348.49050
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
2015
Spectral gap and logarithmic Sobolev constant for continuous spin systems. Zbl 1147.60058
Chen, Mufa
2008
Ten explicit criteria of one-dimensional processes. Zbl 1062.60074
Chen, Mu-Fa
2004
Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes. Zbl 1048.26009
Chen, Mu-Fa
2003
Linear approximation of the first eigenvalue on compact manifolds. Zbl 1100.58503
Chen, Mufa; Scacciatelli, E.; Yao, Liang
2002
Estimation of the exponential convergence rate in the total variation by spectral gap. Zbl 1008.60086
Chen, Mufa
1998
Coupling, spectral gap and related topics. II. Zbl 0892.58079
Chen, Mufa
1997
Ergodicity of reversible reaction diffusion processes with general reaction rates. Zbl 0824.60081
Chen, Mufa; Ding, Wanding; Zhu, Dongjin
1994
Large deviations for Markov chains. Zbl 0706.60075
Chen, Mufa; Lu, Yungang
1990
On spectrum of Hermitizable tridiagonal matrices. Zbl 1458.15014
Chen, Mu-Fa
2020
Development of powerful algorithm for maximal eigenpair. Zbl 07089556
Chen, Mu-Fa; Li, Yue-Shuang
2019
Hermitizable, isospectral complex matrices or differential operators. Zbl 1415.15035
Chen, Mu-Fa
2018
Noether symmetrical perturbation and adiabatic invariants for disturbed non-material volumes. Zbl 1430.70055
Jiang, W. A.; Liu, K.; Zhao, G. L.; Chen, M.
2018
Mei symmetry and new conserved quantities for non-material volumes. Zbl 1437.70049
Jiang, W. A.; Liu, K.; Xia, Z. W.; Chen, M.
2018
Efficient algorithm for principal eigenpair of discrete $$p$$-Laplacian. Zbl 1398.65058
Chen, Mu-Fa
2018
Existence and asymptotic representation of the autowave solution of a system of equations. Zbl 1458.35426
Melnikova, A. A.; Chen, M.
2018
A non-intrusive reduced-order model for compressible fluid and fractured solid coupling and its application to blasting. Zbl 1378.74067
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C. C.; Navon, I. M.; Chen, M.
2017
Global algorithms for maximal eigenpair. Zbl 1382.65099
Chen, Mu-Fa
2017
The charming leading eigenpair. Zbl 1399.15011
Chen, Mufa
2017
Trilogy on computing maximal eigenpair. Zbl 1385.65030
Chen, Mu-Fa
2017
Efficient initials for computing maximal eigenpair. Zbl 1372.65105
Chen, Mu-Fa
2016
Unified speed estimation of various stabilities. Zbl 1338.60186
Chen, Mu-Fa
2016
The optimal constant in Hardy-type inequalities. Zbl 1318.26035
Chen, Mu-Fa
2015
Practical criterion for uniqueness of $$Q$$-processes. Zbl 1340.60122
Chen, Mufa
2015
Mixed eigenvalues of $$p$$-Laplacian. Zbl 1348.49050
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
2015
Isospectral operators. Zbl 1310.47047
Chen, Mu-Fa; Zhang, Xu
2014
Criteria for discrete spectrum of 1D operators. Zbl 1309.47005
Chen, Mu-Fa
2014
Unified representation of formulas for single birth processes. Zbl 1318.60085
Chen, Mu-Fa; Zhang, Yuhui
2014
Mixed eigenvalues of discrete $$p$$-Laplacian. Zbl 1336.39004
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
2014
Bilateral Hardy-type inequalities. Zbl 1263.26028
Chen, Mu Fa
2013
Mixed principal eigenvalues in dimension one. Zbl 1284.60147
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
2013
Basic estimates of stability rate for one-dimensional diffusions. Zbl 1317.60096
Chen, Mu-Fa
2012
Lower bounds of principal eigenvalue in dimension one. Zbl 1263.34122
Chen, Mu-Fa
2012
General estimate of the first eigenvalue on manifolds. Zbl 1267.58007
Chen, Mu-Fa
2011
Speed of stability for birth-death processes. Zbl 1220.60044
Chen, Mu-Fa
2010
Spectral gap and logarithmic Sobolev constant for continuous spin systems. Zbl 1147.60058
Chen, Mufa
2008
Exponential convergence rate in entropy. Zbl 1152.60059
Chen, Mufa
2007
Comparisons between the BBM equation and a Boussinesq system. Zbl 1104.35039
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J.
2006
Eigenvalues, inequalities, and ergodic theory. Zbl 1079.60005
Chen, Mu-Fa
2005
Capacitary criteria for Poincaré-type inequalities. Zbl 1076.60064
Chen, Mu-Fa
2005
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. Zbl 1059.35103
Bona, J. L.; Chen, M.; Saut, J.-C.
2004
From Markov chains to non-equilibrium particle systems. 2nd ed. Zbl 1078.60003
Chen, Mu-Fa
2004
Ten explicit criteria of one-dimensional processes. Zbl 1062.60074
Chen, Mu-Fa
2004
Variational formulas of Poincaré-type inequalities for birth-death processes. Zbl 1040.60064
Chen, Mu Fa
2003
Algebraic convergence of Markov chains. Zbl 1030.60070
Chen, Mu-Fa; Wang, Ying-Zhe
2003
Dual variational formulas for the first Dirichlet eigenvalue on half-line. Zbl 1090.34068
Chen, Mufa; Zhang, Yuhui; Zhao, Xiaoliang
2003
Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes. Zbl 1048.26009
Chen, Mu-Fa
2003
Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I: Derivation and linear theory. Zbl 1022.35044
Bona, J. L.; Chen, M.; Saut, J.-C.
2002
Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line. Zbl 1063.26008
Chen, Mu Fa
2002
A new story of ergodic theory. Zbl 1011.60056
Chen, Mu-Fa
2002
Ergodic convergence rates of Markov processes – eigenvalues, inequalities and ergodic theory. Zbl 1136.35429
Chen, Mufa
2002
Linear approximation of the first eigenvalue on compact manifolds. Zbl 1100.58503
Chen, Mufa; Scacciatelli, E.; Yao, Liang
2002
Variational formulas and approximation theorems for the first eigenvalue in dimension one. Zbl 1012.34078
Chen, Mufa
2001
Explicit criteria for several types of ergodicity. Zbl 1153.60385
Chen, Mufa
2001
Explicit bounds of the first eigenvalue. Zbl 1054.60082
Chen, Mufa
2000
Equivalence of exponential ergodicity and $$L^ 2$$-exponential convergence for Markov chains. Zbl 1045.60078
Chen, Mu-Fa
2000
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1044.60078
Chen, Mu-Fa; Wang, Feng-Yu
2000
Logarithmic Sobolev inequality for symmetric forms. Zbl 0961.46021
Chen, Mufa
2000
The principal eigenvalue for jump processes. Zbl 0963.60078
Chen, Mufa
2000
Eigenvalues, inequalities and ergodic theory. Zbl 1039.58030
Chen, Mufa
2000
Analytic proof of dual variational formula for the first eigenvalue in dimension one. Zbl 0936.35120
Chen, Mufa
1999
Nash inequalities for general symmetric forms. Zbl 0938.60067
Chen, Mufa
1999
Single birth processes. Zbl 0922.60068
Chen, Mufa
1999
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1017.60083
Chen, Mufa; Wang, Fengyu
1998
Trilogy of couplings and general formulas for lower bound of spectral gap. Zbl 1044.60513
Chen, Mu-Fa
1998
Estimate of exponential convergence rate in total variation by spectral gap. Zbl 0907.60067
Chen, Mufa
1998
Estimation of the exponential convergence rate in the total variation by spectral gap. Zbl 1008.60086
Chen, Mufa
1998
Estimation of spectral gap for elliptic operators. Zbl 0872.35072
Chen, Mu-Fa; Wang, Feng-Yu
1997
General formula for lower bound of the first eigenvalue on Riemannian manifolds. Zbl 0895.58056
Chen, Mufa; Wang, Fengyu
1997
Estimates of logarithmic Sobolev constant: An improvement of Bakry-Emery criterion. Zbl 0872.58066
Chen, Mu-Fa; Wang, Feng-Yu
1997
Coupling, spectral gap and related topics. I. Zbl 0892.58078
Chen, Mufa
1997
The range of random walk on trees and related trapping problem. Zbl 0889.60078
Chen, Mufa; Yan, Shijian; Zhou, Xianyin
1997
Coupling, spectral gap and related topics. III. Zbl 0892.58080
Chen, Mufa
1997
Coupling, spectral gap and related topics. II. Zbl 0892.58079
Chen, Mufa
1997
Estimation of spectral gap for Markov chains. Zbl 0867.60038
Chen, Mufa
1996
A Comment on the book “Continuous-time Markov chains” by W. J. Anderson. Zbl 0953.60538
Chen, Mufa
1996
Estimation of the first eigenvalue of second order elliptic operators. Zbl 0837.35102
Chen, Mufa; Wang, Fengyu
1995
Application of coupling method to the first eigenvalue on manifold. Zbl 0799.53044
Chen, Mufa; Wang, Fengyu
1994
Optimal Markovian couplings and applications. Zbl 0813.60068
Chen, Mufa
1994
Optimal couplings and application to Riemannian geometry. Zbl 0843.60090
Chen, Mufa
1994
Ergodicity of reversible reaction diffusion processes with general reaction rates. Zbl 0824.60081
Chen, Mufa; Ding, Wanding; Zhu, Dongjin
1994
On order-preservation and positive correlations for multidimensional diffusion processes. Zbl 0792.60072
Chen, Mufa; Wang, Fengyu
1993
From Markov chains to non-equilibrium particle systems. Zbl 0753.60055
Chen, Mu Fa
1992
Exponential $$L^ 2$$-convergence and $$L^ 2$$-spectral gap for Markov processes. Zbl 0738.60076
Chen, Mufa
1991
On three classical problems for Markov chains with continuous time parameters. Zbl 0761.60064
Chen, Mufa
1991
Applications of Malliavin calculus to stochastic differential equations with time-dependent coefficients. Zbl 0751.60048
Chen, Mufa; Zhou, Xianyin
1991
Uniqueness of reaction diffusion processes. Zbl 0798.60089
Chen, Mufa
1991
On coupling of jump processes. Zbl 0749.60075
Chen, Mufa
1991
Comparison theorems for Green functions of Markov chains. Zbl 0757.60059
Chen, Mufa
1991
Ergodic theorems for reaction-diffusion processes. Zbl 0714.60070
Chen, Mufa
1990
On evaluating the rate function of large deviations for jump processes. Zbl 0721.60031
Chen, Mufa; Lu, Yungang
1990
Large deviations for Markov chains. Zbl 0706.60075
Chen, Mufa; Lu, Yungang
1990
Coupling methods for multidimensional diffusion processes. Zbl 0686.60083
Chen, Mufa; Li, Shaofu
1989
Stationary distributions of infinite particle systems with noncompact state space. Zbl 0688.60079
Chen, Mufa
1989
Existence theorems for interacting particle systems with non-compact state spaces. Zbl 0667.60099
Chen, Mufa
1987
Coupling for jump processes. Zbl 0615.60078
Chen, Mufa
1986
Multi-dimensional Q-processes. Zbl 0596.60074
Yan, Shijian; Chen, Mufa
1986
Infinite dimensional reaction-diffusion processes. Zbl 0613.60070
Chen, Mufa
1985
Uniqueness criterion for q-processes. Zbl 0517.60079
Chen, Mufa; Zheng, Xiaogu
1983
Potentiality and reversibility for general speed functions. II: Compact state spaces. Zbl 0534.60098
Yan, Shijing; Chen, Mufa; Ding, Wanding
1982
Reversible Markov processes in abstract space. Zbl 0468.60067
Chen, Mufa
1980
Markov processes and field theory. Zbl 0506.60068
Hou, Zhenting; Chen, Mufa
1980
all top 5

#### Cited by 696 Authors

 50 Chen, Mu-Fa 39 Wang, Feng-Yu 26 Mao, Yonghua 21 Wang, Jian 18 Xi, Fubao 16 Mitsotakis, Dimitrios E. 14 Bona, Jerry Lloyd 13 Li, Junping 13 Saut, Jean-Claude 13 Zhang, Yuhui 12 Ma, Yutao 12 Zhang, Hanjun 11 Chen, Anyue 10 Shao, Jinghai 10 Wang, Fengyu 9 Dutykh, Denys 9 Kalisch, Henrik 9 Wu, Liming 8 Dougalis, Vassilios A. 8 Eberle, Andreas 8 Guo, Xianping 8 Pazoto, Ademir Fernando 7 Hou, Zhenting 7 Joulin, Aldéric 7 Lannes, David 7 Liu, Yuanyuan 7 van Doorn, Erik A. 7 Zeifman, Alexander Izrailevich 6 Carvajal, Xavier Paredes 6 Duran, Angel 6 Guillin, Arnaud 6 Li, Shenghao 6 Song, Yanhong 5 Abbaszadeh, Mostafa 5 Cheng, Lijuan 5 Dehghan Takht Fooladi, Mehdi 5 Kendall, Wilfrid S. 5 Panthee, Mahendra 5 Schilling, René Leander 5 Wang, Lingdi 5 Wang, Yingzhe 5 Xu, Li 5 Zhang, Bingyu 5 Zhang, Meirong 5 Zhu, Chao 4 Ali, Alfatih 4 Antonopoulos, Dimitrios C. 4 Bao, Jianhai 4 Bautista, George J. 4 Chen, Min 4 Goubet, Olivier 4 Huang, Xing 4 Israwi, Samer 4 Liu, Yuanyuan 4 Liu, Yue 4 Luo, Dejun 4 Mammeri, Youcef 4 Miclo, Laurent 4 Pollett, Philip K. 4 Valls Anglés, Cláudia 4 Wang, Jun 4 Yuan, Chenggui 4 Zhang, Lina 4 Zimmer, Raphael 3 Ambrose, David M. 3 Barros, Ricardo 3 Bonnefont, Michel 3 Cattiaux, Patrick 3 Chen, Hongqiu 3 Chen, Min 3 Chen, Robin Ming 3 Deng, Changsong 3 Erbay, Husnuata A. 3 Erbay, Saadet 3 Erkip, Albert Kohen 3 Feng, Shui 3 Gong, Fuzhou 3 Hernández-Lerma, Onésimo 3 Iooss, Gérard 3 Javier López, F. 3 Karakashian, Ohannes A. 3 Kolokoltsov, Vassili N. 3 Kwak, Chulkwang 3 Li, Peisen 3 Li, Yueshuang 3 Liao, Zhongwei 3 Liu, Zhengrong 3 Manoubi, Imen 3 Micu, Sorin 3 Muñoz, Claudio 3 Nguyen, Dang Hai 3 Pain, Christopher C. 3 Peres, Yuval 3 Röckner, Michael 3 Rosier, Lionel 3 Sainte-Marie, Jacques 3 Talhouk, Raafat 3 Wang, Xinyu 3 Xia, Lianghui 3 Xue, Ruying ...and 596 more Authors
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#### Cited in 167 Serials

 40 Frontiers of Mathematics in China 35 Stochastic Processes and their Applications 35 Acta Mathematica Sinica. English Series 22 Journal of Mathematical Analysis and Applications 19 Journal of Applied Probability 18 Probability Theory and Related Fields 17 Statistics & Probability Letters 17 Science in China. Series A 17 The Annals of Applied Probability 16 The Annals of Probability 16 Journal of Functional Analysis 14 Science China. Mathematics 13 Journal of Theoretical Probability 13 Potential Analysis 11 Journal of Differential Equations 11 Discrete and Continuous Dynamical Systems 10 Advances in Applied Probability 10 Journal of Statistical Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Physica D 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Bernoulli 9 Acta Mathematica Sinica. New Series 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 SIAM Journal on Mathematical Analysis 6 Nonlinearity 6 Mathematics and Computers in Simulation 6 Studies in Applied Mathematics 6 Transactions of the American Mathematical Society 6 Chinese Annals of Mathematics. Series B 6 European Journal of Mechanics. B. Fluids 5 Journal of Mathematical Physics 5 Wave Motion 5 Journal of Computational and Applied Mathematics 5 Proceedings of the American Mathematical Society 5 SIAM Journal on Control and Optimization 5 Stochastic Analysis and Applications 5 Queueing Systems 5 Chinese Science Bulletin 5 Journal of Mathematical Sciences (New York) 5 Communications on Pure and Applied Analysis 4 Computer Methods in Applied Mechanics and Engineering 4 Mathematics of Computation 4 Advances in Mathematics 4 Mathematische Zeitschrift 4 Applied Numerical Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Scientific Computing 4 Journal of Nonlinear Science 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Applicable Analysis 3 Communications in Mathematical Physics 3 Journal of Computational Physics 3 Journal of Fluid Mechanics 3 Physics Letters. A 3 Applied Mathematics Letters 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Calculus of Variations and Partial Differential Equations 3 Abstract and Applied Analysis 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Evolution Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Mathematical Analysis 3 Communications in Mathematics and Statistics 2 Archive for Rational Mechanics and Analysis 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Systems & Control Letters 2 Operations Research Letters 2 Acta Applicandae Mathematicae 2 Annals of Global Analysis and Geometry 2 Forum Mathematicum 2 International Journal of Mathematics 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 Physics of Fluids 2 Electronic Journal of Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Probability in the Engineering and Informational Sciences 2 Stochastic Models 2 Advanced Nonlinear Studies 2 Analysis and Mathematical Physics 2 Special Matrices 1 Acta Mechanica 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae ...and 67 more Serials
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#### Cited in 38 Fields

 410 Probability theory and stochastic processes (60-XX) 213 Partial differential equations (35-XX) 134 Fluid mechanics (76-XX) 69 Numerical analysis (65-XX) 59 Global analysis, analysis on manifolds (58-XX) 57 Operator theory (47-XX) 42 Dynamical systems and ergodic theory (37-XX) 36 Operations research, mathematical programming (90-XX) 35 Statistical mechanics, structure of matter (82-XX) 30 Ordinary differential equations (34-XX) 20 Real functions (26-XX) 20 Systems theory; control (93-XX) 16 Difference and functional equations (39-XX) 15 Differential geometry (53-XX) 14 Combinatorics (05-XX) 14 Functional analysis (46-XX) 14 Statistics (62-XX) 11 Potential theory (31-XX) 11 Geophysics (86-XX) 11 Biology and other natural sciences (92-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Computer science (68-XX) 6 Measure and integration (28-XX) 6 Mechanics of deformable solids (74-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX)