## Chen, Mu-Fa

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 Author ID: chen.mu-fa Published as: Chen, Mufa; Chen, Mu-Fa; Chen, Mu Fa; Chen, M.-F. more...less External Links: ResearchGate · dblp · GND
 Documents Indexed: 127 Publications since 1980, including 4 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 209 Reviews Biographic References: 1 Publication Co-Authors: 26 Co-Authors with 37 Joint Publications 549 Co-Co-Authors
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### Co-Authors

 86 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 Guo, Wenbin 1 Hou, Zhenting 1 Huang, Danhua 1 Jia, Zhigang 1 Khoshnevisan, Davar 1 Li, Jinyu 1 Li, Shaofu 1 Mao, Yonghua 1 Pang, Hong-Kui 1 Scacciatelli, E. 1 Shlosman, Senya B. 1 Stroock, Daniel W. 1 Vaserstein, Leonid N. 1 Wang, Yingzhe 1 Waymire, Edward C. 1 Wu, Zhenfeng 1 Yan, Shijing 1 Yao, Liang 1 Zhang, Chi 1 Zhao, Xiaoliang 1 Zheng, Xiaogu 1 Zhu, Dongjin
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### Serials

 18 Frontiers of Mathematics in China 10 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 6 Advances in Mathematics 4 Acta Mathematica Sinica 4 Chinese Annals of Mathematics 4 Chinese Annals of Mathematics. Series B 3 Acta Mathematicae Applicatae Sinica. English Series 3 Acta Mathematica Scientia 3 Scientia Sinica. Mathematica 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 Chaos, Solitons and Fractals 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 Communications in Statistics. Simulation and Computation 1 Stochastic Processes and their Applications 1 Notices of the American Mathematical Society 1 Kexue Tongbao 1 Potential Analysis 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Special Matrices 1 World Scientific Series on Probability Theory and Its Applications 1 Probability and its Applications
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### Fields

 91 Probability theory and stochastic processes (60-XX) 17 Operator theory (47-XX) 15 Partial differential equations (35-XX) 13 Ordinary differential equations (34-XX) 13 Global analysis, analysis on manifolds (58-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-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 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

86 Publications have been cited 1,017 times in 509 Documents Cited by Year
From Markov chains to non-equilibrium particle systems. 2nd ed. Zbl 1078.60003
Chen, Mu-Fa
2004
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
From Markov chains to non-equilibrium particle systems. Zbl 0753.60055
Chen, Mu Fa
1992
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
Application of coupling method to the first eigenvalue on manifold. Zbl 0799.53044
Chen, Mufa; Wang, Fengyu
1994
Explicit bounds of the first eigenvalue. Zbl 1054.60082
Chen, Mufa
2000
Speed of stability for birth-death processes. Zbl 1220.60044
Chen, Mu-Fa
2010
General formula for lower bound of the first eigenvalue on Riemannian manifolds. Zbl 0895.58056
Chen, Mufa; Wang, Fengyu
1997
Analytic proof of dual variational formula for the first eigenvalue in dimension one. Zbl 0936.35120
Chen, Mufa
1999
On order-preservation and positive correlations for multidimensional diffusion processes. Zbl 0792.60072
Chen, Mufa; Wang, Fengyu
1993
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
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1044.60078
Chen, Mu-Fa; Wang, Feng-Yu
2000
Coupling for jump processes. Zbl 0615.60078
Chen, Mufa
1986
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
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
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1017.60083
Chen, Mufa; Wang, Fengyu
1998
Algebraic convergence of Markov chains. Zbl 1030.60070
Chen, Mu-Fa; Wang, Ying-Zhe
2003
Bilateral Hardy-type inequalities. Zbl 1263.26028
Chen, Mu Fa
2013
Nash inequalities for general symmetric forms. Zbl 0938.60067
Chen, Mufa
1999
Isospectral operators. Zbl 1310.47047
Chen, Mu-Fa; Zhang, Xu
2014
Infinite dimensional reaction-diffusion processes. Zbl 0613.60070
Chen, Mufa
1985
Single birth processes. Zbl 0922.60068
Chen, Mufa
1999
Variational formulas of Poincaré-type inequalities for birth-death processes. Zbl 1040.60064
Chen, Mu Fa
2003
The optimal constant in Hardy-type inequalities. Zbl 1318.26035
Chen, Mu-Fa
2015
Logarithmic Sobolev inequality for symmetric forms. Zbl 0961.46021
Chen, Mufa
2000
Capacitary criteria for Poincaré-type inequalities. Zbl 1076.60064
Chen, Mu-Fa
2005
Unified representation of formulas for single birth processes. Zbl 1318.60085
Chen, Mu-Fa; Zhang, Yuhui
2014
Estimate of exponential convergence rate in total variation by spectral gap. Zbl 0907.60067
Chen, Mufa
1998
On three classical problems for Markov chains with continuous time parameters. Zbl 0761.60064
Chen, Mufa
1991
Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line. Zbl 1063.26008
Chen, Mu Fa
2002
Basic estimates of stability rate for one-dimensional diffusions. Zbl 1317.60096
Chen, Mu-Fa
2012
The principal eigenvalue for jump processes. Zbl 0963.60078
Chen, Mufa
2000
Dual variational formulas for the first Dirichlet eigenvalue on half-line. Zbl 1090.34068
Chen, Mufa; Zhang, Yuhui; Zhao, Xiaoliang
2003
Existence theorems for interacting particle systems with non-compact state spaces. Zbl 0667.60099
Chen, Mufa
1987
Multi-dimensional Q-processes. Zbl 0596.60074
Yan, Shijian; Chen, Mufa
1986
Efficient initials for computing maximal eigenpair. Zbl 1372.65105
Chen, Mu-Fa
2016
Criteria for discrete spectrum of 1D operators. Zbl 1309.47005
Chen, Mu-Fa
2014
Coupling, spectral gap and related topics. I. Zbl 0892.58078
Chen, Mufa
1997
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
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
Explicit criteria for several types of ergodicity. Zbl 1153.60385
Chen, Mufa
2001
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
Stationary distributions of infinite particle systems with noncompact state space. Zbl 0688.60079
Chen, Mufa
1989
Ergodic theorems for reaction-diffusion processes. Zbl 0714.60070
Chen, Mufa
1990
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
Eigenvalues, inequalities and ergodic theory. Zbl 1039.58030
Chen, Mufa
2000
Uniqueness criterion for q-processes. Zbl 0517.60079
Chen, Mufa; Zheng, Xiaogu
1983
A new story of ergodic theory. Zbl 1011.60056
Chen, Mu-Fa
2002
A Comment on the book “Continuous-time Markov chains” by W. J. Anderson. Zbl 0953.60538
Chen, Mufa
1996
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
On spectrum of Hermitizable tridiagonal matrices. Zbl 1458.15014
Chen, Mu-Fa
2020
On evaluating the rate function of large deviations for jump processes. Zbl 0721.60031
Chen, Mufa; Lu, Yungang
1990
Coupling, spectral gap and related topics. III. Zbl 0892.58080
Chen, Mufa
1997
Spectral gap and logarithmic Sobolev constant for continuous spin systems. Zbl 1147.60058
Chen, Mufa
2008
Comparison theorems for Green functions of Markov chains. Zbl 0757.60059
Chen, Mufa
1991
Ergodic convergence rates of Markov processes – eigenvalues, inequalities and ergodic theory. Zbl 1136.35429
Chen, Mufa
2002
Markov processes and field theory. Zbl 0506.60068
Hou, Zhenting; Chen, Mufa
1980
Potentiality and reversibility for general speed functions. II: Compact state spaces. Zbl 0534.60098
Yan, Shijing; Chen, Mufa; Ding, Wanding
1982
Exponential convergence rate in entropy. Zbl 1152.60059
Chen, Mufa
2007
Trilogy on computing maximal eigenpair. Zbl 1385.65030
Chen, Mu-Fa
2017
Development of powerful algorithm for maximal eigenpair. Zbl 1476.65051
Chen, Mu-Fa; Li, Yue-Shuang
2019
Ergodicity of reversible reaction diffusion processes with general reaction rates. Zbl 0824.60081
Chen, Mufa; Ding, Wanding; Zhu, Dongjin
1994
Coupling, spectral gap and related topics. II. Zbl 0892.58079
Chen, Mufa
1997
Large deviations for Markov chains. Zbl 0706.60075
Chen, Mufa; Lu, Yungang
1990
Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes. Zbl 1048.26009
Chen, Mu-Fa
2003
Ten explicit criteria of one-dimensional processes. Zbl 1062.60074
Chen, Mu-Fa
2004
Estimation of the exponential convergence rate in the total variation by spectral gap. Zbl 1008.60086
Chen, Mufa
1998
Linear approximation of the first eigenvalue on compact manifolds. Zbl 1100.58503
Chen, Mufa; Scacciatelli, E.; Yao, Liang
2002
Efficient algorithm for principal eigenpair of discrete $$p$$-Laplacian. Zbl 1398.65058
Chen, Mu-Fa
2018
Mixed eigenvalues of $$p$$-Laplacian. Zbl 1348.49050
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui
2015
Unified speed estimation of various stabilities. Zbl 1338.60186
Chen, Mu-Fa
2016
On spectrum of Hermitizable tridiagonal matrices. Zbl 1458.15014
Chen, Mu-Fa
2020
Development of powerful algorithm for maximal eigenpair. Zbl 1476.65051
Chen, Mu-Fa; Li, Yue-Shuang
2019
Hermitizable, isospectral complex matrices or differential operators. Zbl 1415.15035
Chen, Mu-Fa
2018
Efficient algorithm for principal eigenpair of discrete $$p$$-Laplacian. Zbl 1398.65058
Chen, Mu-Fa
2018
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
Unified representation of formulas for single birth processes. Zbl 1318.60085
Chen, Mu-Fa; Zhang, Yuhui
2014
Criteria for discrete spectrum of 1D operators. Zbl 1309.47005
Chen, Mu-Fa
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
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
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
Algebraic convergence of Markov chains. Zbl 1030.60070
Chen, Mu-Fa; Wang, Ying-Zhe
2003
Variational formulas of Poincaré-type inequalities for birth-death processes. Zbl 1040.60064
Chen, Mu Fa
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
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
Trilogy of couplings and general formulas for lower bound of spectral gap. Zbl 1044.60513
Chen, Mu-Fa
1998
Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1017.60083
Chen, Mufa; Wang, Fengyu
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 450 Authors

 51 Chen, Mu-Fa 35 Wang, Feng-Yu 29 Mao, Yonghua 22 Wang, Jian 18 Xi, Fubao 13 Li, Junping 13 Ma, Yutao 13 Zhang, Yuhui 10 Wang, Fengyu 10 Zhang, Hanjun 9 Chen, Anyue 9 Joulin, Aldéric 8 Eberle, Andreas 8 Guo, Xianping 8 Shao, Jinghai 8 Wu, Liming 7 van Doorn, Erik A. 7 Zeifman, Alexander Izrailevich 6 Guillin, Arnaud 6 Hou, Zhenting 6 Huang, Xing 5 Bonnefont, Michel 5 Cheng, Lijuan 5 Kendall, Wilfrid S. 5 Schilling, René Leander 5 Song, Yanhong 5 Wang, Lingdi 5 Wang, Yingzhe 5 Zhang, Meirong 4 Luo, Dejun 4 Miclo, Laurent 4 Pollett, Philip K. 4 Yuan, Chenggui 4 Zhang, Lina 4 Zhang, Zhengliang 4 Zhu, Chao 4 Zimmer, Raphael 3 Cattiaux, Patrick 3 Deng, Changsong 3 Gong, Fuzhou 3 Hernández-Lerma, Onésimo 3 Kalimulina, Elmira Yu. 3 Kolokoltsov, Vassili N. 3 Li, Peisen 3 Li, Quanlin 3 Li, Yueshuang 3 Liao, Zhongwei 3 Majka, Mateusz B. 3 Peres, Yuval 3 Röckner, Michael 3 Saker, Samir H. 3 Schlichting, André 3 Wang, Jun 3 Xia, Lianghui 3 Zhang, Chi 3 Zhang, Shaoyi 3 Zhang, Yi 3 Zhu, Quanxin 2 Bakry, Dominique 2 Bao, Jianhai 2 Barahona, Mauricio 2 Barthe, Franck 2 Belopol’skaya, Yana Isaevna 2 Bogachev, Vladimir Igorevich 2 Burdzy, Krzysztof 2 Carbone, Raffaella 2 Chafaï, Djalil 2 Chen, Xian 2 Cheng, Huihui 2 Ding, Jian 2 Ding, Wanding 2 Fan, Ruina 2 Gentil, Ivan 2 Gong, Guanglu 2 Granovsky, Boris L. 2 Guo, Shangjiang 2 He, Guoman 2 He, Qi-Ming 2 He, Yue 2 Huang, Lu-Jing 2 Hwang, Chii-Ruey 2 Javier López, F. 2 Kang, Cholryong 2 Kuntz, Juan 2 Li, Huaiqian 2 Li, Lina 2 Li, Shangzhi 2 Li, Wendi 2 Li, Yao 2 Li, Zenghu 2 Liang, Mingjie 2 Liggett, Thomas Milton 2 Liu, Jinpeng 2 Liu, Wei 2 Löwe, Matthias 2 Lu, Yun Gang 2 Lubetzky, Eyal 2 Ma, Zhi-Ming 2 Meise, Christian 2 Meng, Gang ...and 350 more Authors
all top 5

### Cited in 110 Serials

 46 Frontiers of Mathematics in China 35 Acta Mathematica Sinica. English Series 31 Stochastic Processes and their Applications 19 Journal of Applied Probability 19 The Annals of Applied Probability 17 Probability Theory and Related Fields 17 Science in China. Series A 16 The Annals of Probability 14 Journal of Functional Analysis 14 Statistics & Probability Letters 14 Science China. Mathematics 13 Journal of Mathematical Analysis and Applications 13 Journal of Theoretical Probability 13 Potential Analysis 12 Advances in Applied Probability 11 Bernoulli 10 Journal of Statistical Physics 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Acta Mathematica Sinica. New Series 6 Proceedings of the American Mathematical Society 6 Stochastic Analysis and Applications 6 Queueing Systems 5 Chinese Science Bulletin 5 Journal of Mathematical Sciences (New York) 4 Journal of Differential Equations 4 Mathematische Zeitschrift 4 SIAM Journal on Control and Optimization 4 Transactions of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Journal of Mathematical Physics 3 Theory of Probability and its Applications 3 Advances in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Chinese Annals of Mathematics. Series B 3 Calculus of Variations and Partial Differential Equations 3 Electronic Journal of Probability 3 Abstract and Applied Analysis 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 Communications in Mathematics and Statistics 2 Mathematical Notes 2 Nonlinearity 2 Journal of Computational and Applied Mathematics 2 Annals of Global Analysis and Geometry 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Forum Mathematicum 2 International Journal of Mathematics 2 Annals of Operations Research 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 2 Probability in the Engineering and Informational Sciences 2 Journal of Evolution Equations 2 Stochastic Models 2 Advances in Difference Equations 2 Special Matrices 1 Communications in Mathematical Physics 1 Studia Mathematica 1 Arkiv för Matematik 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Algorithmica 1 Random Structures & Algorithms 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Computational Statistics 1 Communications in Partial Differential Equations 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 SIAM Review 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Combinatorics, Probability and Computing 1 Electronic Journal of Differential Equations (EJDE) 1 Top 1 Bulletin des Sciences Mathématiques 1 Electronic Communications in Probability 1 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematical Methods of Operations Research 1 Mathematical Inequalities & Applications 1 Discrete Dynamics in Nature and Society 1 The ANZIAM Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies ...and 10 more Serials
all top 5

### Cited in 33 Fields

 421 Probability theory and stochastic processes (60-XX) 60 Global analysis, analysis on manifolds (58-XX) 59 Operator theory (47-XX) 51 Partial differential equations (35-XX) 35 Statistical mechanics, structure of matter (82-XX) 35 Operations research, mathematical programming (90-XX) 31 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 29 Dynamical systems and ergodic theory (37-XX) 22 Real functions (26-XX) 17 Difference and functional equations (39-XX) 17 Differential geometry (53-XX) 15 Systems theory; control (93-XX) 13 Combinatorics (05-XX) 11 Potential theory (31-XX) 11 Functional analysis (46-XX) 11 Statistics (62-XX) 11 Biology and other natural sciences (92-XX) 9 Computer science (68-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Fluid mechanics (76-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-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)