Edit Profile (opens in new tab) Chen, Mu-Fa Compute Distance To: Compute 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: 28 Co-Authors with 39 Joint Publications 1,018 Co-Co-Authors all top 5 Co-Authors 87 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 Li, Yong 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 Zhang, Xu 1 Zhao, Xiaoliang 1 Zheng, Xiaogu 1 Zhu, Dongjin all top 5 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 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 all top 5 Fields 92 Probability theory and stochastic processes (60-XX) 17 Operator theory (47-XX) 16 Partial differential equations (35-XX) 14 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 Linear and multilinear algebra; matrix theory (15-XX) 7 Numerical analysis (65-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 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 1,094 times in 542 Documents Cited by ▼ Year ▼ From Markov chains to non-equilibrium particle systems. 2nd ed. Zbl 1078.60003Chen, Mu-Fa 106 2004 Eigenvalues, inequalities, and ergodic theory. Zbl 1079.60005Chen, Mu-Fa 76 2005 From Markov chains to non-equilibrium particle systems. Zbl 0753.60055Chen, Mu Fa 70 1992 Coupling methods for multidimensional diffusion processes. Zbl 0686.60083Chen, Mufa; Li, Shaofu 65 1989 Estimation of spectral gap for elliptic operators. Zbl 0872.35072Chen, Mu-Fa; Wang, Feng-Yu 55 1997 Application of coupling method to the first eigenvalue on manifold. Zbl 0799.53044Chen, Mufa; Wang, Fengyu 42 1994 General formula for lower bound of the first eigenvalue on Riemannian manifolds. Zbl 0895.58056Chen, Mufa; Wang, Fengyu 40 1997 Speed of stability for birth-death processes. Zbl 1220.60044Chen, Mu-Fa 38 2010 Estimation of spectral gap for Markov chains. Zbl 0867.60038Chen, Mufa 38 1996 Explicit bounds of the first eigenvalue. Zbl 1054.60082Chen, Mufa 37 2000 Analytic proof of dual variational formula for the first eigenvalue in dimension one. Zbl 0936.35120Chen, Mufa 31 1999 Optimal Markovian couplings and applications. Zbl 0813.60068Chen, Mufa 24 1994 On order-preservation and positive correlations for multidimensional diffusion processes. Zbl 0792.60072Chen, Mufa; Wang, Fengyu 23 1993 Variational formulas and approximation theorems for the first eigenvalue in dimension one. Zbl 1012.34078Chen, Mufa 23 2001 Equivalence of exponential ergodicity and \(L^ 2\)-exponential convergence for Markov chains. Zbl 1045.60078Chen, Mu-Fa 20 2000 Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1044.60078Chen, Mu-Fa; Wang, Feng-Yu 18 2000 Coupling for jump processes. Zbl 0615.60078Chen, Mufa 17 1986 Estimation of the first eigenvalue of second order elliptic operators. Zbl 0837.35102Chen, Mufa; Wang, Fengyu 17 1995 Estimates of logarithmic Sobolev constant: An improvement of Bakry-Emery criterion. Zbl 0872.58066Chen, Mu-Fa; Wang, Feng-Yu 17 1997 Trilogy of couplings and general formulas for lower bound of spectral gap. Zbl 1044.60513Chen, Mu-Fa 13 1998 Exponential \(L^ 2\)-convergence and \(L^ 2\)-spectral gap for Markov processes. Zbl 0738.60076Chen, Mufa 13 1991 Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1017.60083Chen, Mufa; Wang, Fengyu 12 1998 Algebraic convergence of Markov chains. Zbl 1030.60070Chen, Mu-Fa; Wang, Ying-Zhe 11 2003 Nash inequalities for general symmetric forms. Zbl 0938.60067Chen, Mufa 10 1999 Bilateral Hardy-type inequalities. Zbl 1263.26028Chen, Mu Fa 10 2013 Isospectral operators. Zbl 1310.47047Chen, Mu-Fa; Zhang, Xu 10 2014 Single birth processes. Zbl 0922.60068Chen, Mufa 10 1999 Unified representation of formulas for single birth processes. Zbl 1318.60085Chen, Mu-Fa; Zhang, Yuhui 10 2014 Infinite dimensional reaction-diffusion processes. Zbl 0613.60070Chen, Mufa 9 1985 The optimal constant in Hardy-type inequalities. Zbl 1318.26035Chen, Mu-Fa 9 2015 Logarithmic Sobolev inequality for symmetric forms. Zbl 0961.46021Chen, Mufa 9 2000 Variational formulas of Poincaré-type inequalities for birth-death processes. Zbl 1040.60064Chen, Mu Fa 9 2003 Estimate of exponential convergence rate in total variation by spectral gap. Zbl 0907.60067Chen, Mufa 8 1998 Capacitary criteria for Poincaré-type inequalities. Zbl 1076.60064Chen, Mu-Fa 8 2005 On three classical problems for Markov chains with continuous time parameters. Zbl 0761.60064Chen, Mufa 8 1991 The principal eigenvalue for jump processes. Zbl 0963.60078Chen, Mufa 8 2000 Existence theorems for interacting particle systems with non-compact state spaces. Zbl 0667.60099Chen, Mufa 7 1987 Basic estimates of stability rate for one-dimensional diffusions. Zbl 1317.60096Chen, Mu-Fa 7 2012 Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line. Zbl 1063.26008Chen, Mu Fa 7 2002 Hermitizable, isospectral complex matrices or differential operators. Zbl 1415.15035Chen, Mu-Fa 6 2018 Dual variational formulas for the first Dirichlet eigenvalue on half-line. Zbl 1090.34068Chen, Mufa; Zhang, Yuhui; Zhao, Xiaoliang 6 2003 Multi-dimensional Q-processes. Zbl 0596.60074Yan, Shijian; Chen, Mufa 6 1986 Criteria for discrete spectrum of 1D operators. Zbl 1309.47005Chen, Mu-Fa 6 2014 Efficient initials for computing maximal eigenpair. Zbl 1372.65105Chen, Mu-Fa 6 2016 Global algorithms for maximal eigenpair. Zbl 1382.65099Chen, Mu-Fa 5 2017 Coupling, spectral gap and related topics. I. Zbl 0892.58078Chen, Mufa 5 1997 Applications of Malliavin calculus to stochastic differential equations with time-dependent coefficients. Zbl 0751.60048Chen, Mufa; Zhou, Xianyin 5 1991 Optimal couplings and application to Riemannian geometry. Zbl 0843.60090Chen, Mufa 5 1994 Reversible Markov processes in abstract space. Zbl 0468.60067Chen, Mufa 5 1980 Practical criterion for uniqueness of \(Q\)-processes. Zbl 1340.60122Chen, Mufa 5 2015 Explicit criteria for several types of ergodicity. Zbl 1153.60385Chen, Mufa 4 2001 Lower bounds of principal eigenvalue in dimension one. Zbl 1263.34122Chen, Mu-Fa 4 2012 Coupling, spectral gap and related topics. III. Zbl 0892.58080Chen, Mufa 4 1997 Uniqueness of reaction diffusion processes. Zbl 0798.60089Chen, Mufa 4 1991 Mixed principal eigenvalues in dimension one. Zbl 1284.60147Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui 4 2013 The charming leading eigenpair. Zbl 1399.15011Chen, Mufa 3 2017 General estimate of the first eigenvalue on manifolds. Zbl 1267.58007Chen, Mu-Fa 3 2011 On coupling of jump processes. Zbl 0749.60075Chen, Mufa 3 1991 Stationary distributions of infinite particle systems with noncompact state space. Zbl 0688.60079Chen, Mufa 3 1989 Ergodic theorems for reaction-diffusion processes. Zbl 0714.60070Chen, Mufa 3 1990 On spectrum of Hermitizable tridiagonal matrices. Zbl 1458.15014Chen, Mu-Fa 3 2020 The range of random walk on trees and related trapping problem. Zbl 0889.60078Chen, Mufa; Yan, Shijian; Zhou, Xianyin 3 1997 Markov processes and field theory. Zbl 0506.60068Hou, Zhenting; Chen, Mufa 3 1980 Uniqueness criterion for q-processes. Zbl 0517.60079Chen, Mufa; Zheng, Xiaogu 3 1983 A new story of ergodic theory. Zbl 1011.60056Chen, Mu-Fa 3 2002 A Comment on the book “Continuous-time Markov chains” by W. J. Anderson. Zbl 0953.60538Chen, Mufa 3 1996 Eigenvalues, inequalities and ergodic theory. Zbl 1039.58030Chen, Mufa 3 2000 Mixed eigenvalues of discrete \(p\)-Laplacian. Zbl 1336.39004Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui 3 2014 Development of powerful algorithm for maximal eigenpair. Zbl 1476.65051Chen, Mu-Fa; Li, Yue-Shuang 2 2019 Trilogy on computing maximal eigenpair. Zbl 1385.65030Chen, Mu-Fa 2 2017 Comparison theorems for Green functions of Markov chains. Zbl 0757.60059Chen, Mufa 2 1991 On evaluating the rate function of large deviations for jump processes. Zbl 0721.60031Chen, Mufa; Lu, Yungang 2 1990 Potentiality and reversibility for general speed functions. II: Compact state spaces. Zbl 0534.60098Yan, Shijing; Chen, Mufa; Ding, Wanding 2 1982 Exponential convergence rate in entropy. Zbl 1152.60059Chen, Mufa 2 2007 Spectral gap and logarithmic Sobolev constant for continuous spin systems. Zbl 1147.60058Chen, Mufa 2 2008 Ergodic convergence rates of Markov processes – eigenvalues, inequalities and ergodic theory. Zbl 1136.35429Chen, Mufa 2 2002 Large deviations for Markov chains. Zbl 0706.60075Chen, Mufa; Lu, Yungang 1 1990 Coupling, spectral gap and related topics. II. Zbl 0892.58079Chen, Mufa 1 1997 Ergodicity of reversible reaction diffusion processes with general reaction rates. Zbl 0824.60081Chen, Mufa; Ding, Wanding; Zhu, Dongjin 1 1994 Linear approximation of the first eigenvalue on compact manifolds. Zbl 1100.58503Chen, Mufa; Scacciatelli, E.; Yao, Liang 1 2002 On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group. Zbl 1494.20023Zhang, C.; Chen, M.; Guo, W.; Wu, Z. 1 2022 A new mathematical perspective of quantum mechanics. Zbl 1488.81001Chen, Mufa 1 2021 Introduction to stochastic processes. Translated from the Chinese. Originally published under the same title by Higher Education Press, Beijing 2007. Zbl 1471.60001Chen, Mu-Fa; Mao, Yong-Hua 1 2021 Efficient algorithm for principal eigenpair of discrete \(p\)-Laplacian. Zbl 1398.65058Chen, Mu-Fa 1 2018 Ten explicit criteria of one-dimensional processes. Zbl 1062.60074Chen, Mu-Fa 1 2004 Unified speed estimation of various stabilities. Zbl 1338.60186Chen, Mu-Fa 1 2016 Mixed eigenvalues of \(p\)-Laplacian. Zbl 1348.49050Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui 1 2015 Estimation of the exponential convergence rate in the total variation by spectral gap. Zbl 1008.60086Chen, Mufa 1 1998 Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes. Zbl 1048.26009Chen, Mu-Fa 1 2003 Computing top eigenpairs of Hermitizable matrix. Zbl 1471.15003Chen, Mu-Fa; Jia, Zhi-Gang; Pang, Hong-Kui 1 2021 Hermitizable, isospectral complex second-order differential operators. Zbl 07350717Chen, Mu-Fa; Li, Jin-Yu 1 2020 On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group. Zbl 1494.20023Zhang, C.; Chen, M.; Guo, W.; Wu, Z. 1 2022 A new mathematical perspective of quantum mechanics. Zbl 1488.81001Chen, Mufa 1 2021 Introduction to stochastic processes. Translated from the Chinese. Originally published under the same title by Higher Education Press, Beijing 2007. Zbl 1471.60001Chen, Mu-Fa; Mao, Yong-Hua 1 2021 Computing top eigenpairs of Hermitizable matrix. Zbl 1471.15003Chen, Mu-Fa; Jia, Zhi-Gang; Pang, Hong-Kui 1 2021 On spectrum of Hermitizable tridiagonal matrices. Zbl 1458.15014Chen, Mu-Fa 3 2020 Hermitizable, isospectral complex second-order differential operators. Zbl 07350717Chen, Mu-Fa; Li, Jin-Yu 1 2020 Development of powerful algorithm for maximal eigenpair. Zbl 1476.65051Chen, Mu-Fa; Li, Yue-Shuang 2 2019 Hermitizable, isospectral complex matrices or differential operators. Zbl 1415.15035Chen, Mu-Fa 6 2018 Efficient algorithm for principal eigenpair of discrete \(p\)-Laplacian. Zbl 1398.65058Chen, Mu-Fa 1 2018 Global algorithms for maximal eigenpair. Zbl 1382.65099Chen, Mu-Fa 5 2017 The charming leading eigenpair. Zbl 1399.15011Chen, Mufa 3 2017 Trilogy on computing maximal eigenpair. Zbl 1385.65030Chen, Mu-Fa 2 2017 Efficient initials for computing maximal eigenpair. Zbl 1372.65105Chen, Mu-Fa 6 2016 Unified speed estimation of various stabilities. Zbl 1338.60186Chen, Mu-Fa 1 2016 The optimal constant in Hardy-type inequalities. Zbl 1318.26035Chen, Mu-Fa 9 2015 Practical criterion for uniqueness of \(Q\)-processes. Zbl 1340.60122Chen, Mufa 5 2015 Mixed eigenvalues of \(p\)-Laplacian. Zbl 1348.49050Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui 1 2015 Isospectral operators. Zbl 1310.47047Chen, Mu-Fa; Zhang, Xu 10 2014 Unified representation of formulas for single birth processes. Zbl 1318.60085Chen, Mu-Fa; Zhang, Yuhui 10 2014 Criteria for discrete spectrum of 1D operators. Zbl 1309.47005Chen, Mu-Fa 6 2014 Mixed eigenvalues of discrete \(p\)-Laplacian. Zbl 1336.39004Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui 3 2014 Bilateral Hardy-type inequalities. Zbl 1263.26028Chen, Mu Fa 10 2013 Mixed principal eigenvalues in dimension one. Zbl 1284.60147Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui 4 2013 Basic estimates of stability rate for one-dimensional diffusions. Zbl 1317.60096Chen, Mu-Fa 7 2012 Lower bounds of principal eigenvalue in dimension one. Zbl 1263.34122Chen, Mu-Fa 4 2012 General estimate of the first eigenvalue on manifolds. Zbl 1267.58007Chen, Mu-Fa 3 2011 Speed of stability for birth-death processes. Zbl 1220.60044Chen, Mu-Fa 38 2010 Spectral gap and logarithmic Sobolev constant for continuous spin systems. Zbl 1147.60058Chen, Mufa 2 2008 Exponential convergence rate in entropy. Zbl 1152.60059Chen, Mufa 2 2007 Eigenvalues, inequalities, and ergodic theory. Zbl 1079.60005Chen, Mu-Fa 76 2005 Capacitary criteria for Poincaré-type inequalities. Zbl 1076.60064Chen, Mu-Fa 8 2005 From Markov chains to non-equilibrium particle systems. 2nd ed. Zbl 1078.60003Chen, Mu-Fa 106 2004 Ten explicit criteria of one-dimensional processes. Zbl 1062.60074Chen, Mu-Fa 1 2004 Algebraic convergence of Markov chains. Zbl 1030.60070Chen, Mu-Fa; Wang, Ying-Zhe 11 2003 Variational formulas of Poincaré-type inequalities for birth-death processes. Zbl 1040.60064Chen, Mu Fa 9 2003 Dual variational formulas for the first Dirichlet eigenvalue on half-line. Zbl 1090.34068Chen, Mufa; Zhang, Yuhui; Zhao, Xiaoliang 6 2003 Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes. Zbl 1048.26009Chen, Mu-Fa 1 2003 Variational formulas of Poincaré-type inequalities in Banach spaces of functions on the line. Zbl 1063.26008Chen, Mu Fa 7 2002 A new story of ergodic theory. Zbl 1011.60056Chen, Mu-Fa 3 2002 Ergodic convergence rates of Markov processes – eigenvalues, inequalities and ergodic theory. Zbl 1136.35429Chen, Mufa 2 2002 Linear approximation of the first eigenvalue on compact manifolds. Zbl 1100.58503Chen, Mufa; Scacciatelli, E.; Yao, Liang 1 2002 Variational formulas and approximation theorems for the first eigenvalue in dimension one. Zbl 1012.34078Chen, Mufa 23 2001 Explicit criteria for several types of ergodicity. Zbl 1153.60385Chen, Mufa 4 2001 Explicit bounds of the first eigenvalue. Zbl 1054.60082Chen, Mufa 37 2000 Equivalence of exponential ergodicity and \(L^ 2\)-exponential convergence for Markov chains. Zbl 1045.60078Chen, Mu-Fa 20 2000 Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1044.60078Chen, Mu-Fa; Wang, Feng-Yu 18 2000 Logarithmic Sobolev inequality for symmetric forms. Zbl 0961.46021Chen, Mufa 9 2000 The principal eigenvalue for jump processes. Zbl 0963.60078Chen, Mufa 8 2000 Eigenvalues, inequalities and ergodic theory. Zbl 1039.58030Chen, Mufa 3 2000 Analytic proof of dual variational formula for the first eigenvalue in dimension one. Zbl 0936.35120Chen, Mufa 31 1999 Nash inequalities for general symmetric forms. Zbl 0938.60067Chen, Mufa 10 1999 Single birth processes. Zbl 0922.60068Chen, Mufa 10 1999 Trilogy of couplings and general formulas for lower bound of spectral gap. Zbl 1044.60513Chen, Mu-Fa 13 1998 Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap. Zbl 1017.60083Chen, Mufa; Wang, Fengyu 12 1998 Estimate of exponential convergence rate in total variation by spectral gap. Zbl 0907.60067Chen, Mufa 8 1998 Estimation of the exponential convergence rate in the total variation by spectral gap. Zbl 1008.60086Chen, Mufa 1 1998 Estimation of spectral gap for elliptic operators. Zbl 0872.35072Chen, Mu-Fa; Wang, Feng-Yu 55 1997 General formula for lower bound of the first eigenvalue on Riemannian manifolds. Zbl 0895.58056Chen, Mufa; Wang, Fengyu 40 1997 Estimates of logarithmic Sobolev constant: An improvement of Bakry-Emery criterion. Zbl 0872.58066Chen, Mu-Fa; Wang, Feng-Yu 17 1997 Coupling, spectral gap and related topics. I. Zbl 0892.58078Chen, Mufa 5 1997 Coupling, spectral gap and related topics. III. Zbl 0892.58080Chen, Mufa 4 1997 The range of random walk on trees and related trapping problem. Zbl 0889.60078Chen, Mufa; Yan, Shijian; Zhou, Xianyin 3 1997 Coupling, spectral gap and related topics. II. Zbl 0892.58079Chen, Mufa 1 1997 Estimation of spectral gap for Markov chains. Zbl 0867.60038Chen, Mufa 38 1996 A Comment on the book “Continuous-time Markov chains” by W. J. Anderson. Zbl 0953.60538Chen, Mufa 3 1996 Estimation of the first eigenvalue of second order elliptic operators. Zbl 0837.35102Chen, Mufa; Wang, Fengyu 17 1995 Application of coupling method to the first eigenvalue on manifold. Zbl 0799.53044Chen, Mufa; Wang, Fengyu 42 1994 Optimal Markovian couplings and applications. Zbl 0813.60068Chen, Mufa 24 1994 Optimal couplings and application to Riemannian geometry. Zbl 0843.60090Chen, Mufa 5 1994 Ergodicity of reversible reaction diffusion processes with general reaction rates. Zbl 0824.60081Chen, Mufa; Ding, Wanding; Zhu, Dongjin 1 1994 On order-preservation and positive correlations for multidimensional diffusion processes. Zbl 0792.60072Chen, Mufa; Wang, Fengyu 23 1993 From Markov chains to non-equilibrium particle systems. Zbl 0753.60055Chen, Mu Fa 70 1992 Exponential \(L^ 2\)-convergence and \(L^ 2\)-spectral gap for Markov processes. Zbl 0738.60076Chen, Mufa 13 1991 On three classical problems for Markov chains with continuous time parameters. Zbl 0761.60064Chen, Mufa 8 1991 Applications of Malliavin calculus to stochastic differential equations with time-dependent coefficients. Zbl 0751.60048Chen, Mufa; Zhou, Xianyin 5 1991 Uniqueness of reaction diffusion processes. Zbl 0798.60089Chen, Mufa 4 1991 On coupling of jump processes. Zbl 0749.60075Chen, Mufa 3 1991 Comparison theorems for Green functions of Markov chains. Zbl 0757.60059Chen, Mufa 2 1991 Ergodic theorems for reaction-diffusion processes. Zbl 0714.60070Chen, Mufa 3 1990 On evaluating the rate function of large deviations for jump processes. Zbl 0721.60031Chen, Mufa; Lu, Yungang 2 1990 Large deviations for Markov chains. Zbl 0706.60075Chen, Mufa; Lu, Yungang 1 1990 Coupling methods for multidimensional diffusion processes. Zbl 0686.60083Chen, Mufa; Li, Shaofu 65 1989 Stationary distributions of infinite particle systems with noncompact state space. Zbl 0688.60079Chen, Mufa 3 1989 Existence theorems for interacting particle systems with non-compact state spaces. Zbl 0667.60099Chen, Mufa 7 1987 Coupling for jump processes. Zbl 0615.60078Chen, Mufa 17 1986 Multi-dimensional Q-processes. Zbl 0596.60074Yan, Shijian; Chen, Mufa 6 1986 Infinite dimensional reaction-diffusion processes. Zbl 0613.60070Chen, Mufa 9 1985 Uniqueness criterion for q-processes. Zbl 0517.60079Chen, Mufa; Zheng, Xiaogu 3 1983 Potentiality and reversibility for general speed functions. II: Compact state spaces. Zbl 0534.60098Yan, Shijing; Chen, Mufa; Ding, Wanding 2 1982 Reversible Markov processes in abstract space. Zbl 0468.60067Chen, Mufa 5 1980 Markov processes and field theory. Zbl 0506.60068Hou, Zhenting; Chen, Mufa 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 501 Authors 52 Chen, Mu-Fa 36 Wang, Feng-Yu 31 Mao, Yonghua 27 Wang, Jian 18 Xi, Fubao 14 Ma, Yutao 13 Li, Junping 13 Zhang, Yuhui 11 Zhang, Hanjun 10 Wang, Fengyu 9 Chen, Anyue 9 Joulin, Aldéric 8 Eberle, Andreas 8 Guo, Xianping 8 Shao, Jinghai 8 Wu, Liming 7 van Doorn, Erik A. 7 Wang, Jun 7 Zeifman, Alexander Izrailevich 6 Guillin, Arnaud 6 Hou, Zhenting 6 Huang, Xing 6 Song, Yanhong 5 Bonnefont, Michel 5 Cheng, Lijuan 5 Kendall, Wilfrid S. 5 Miclo, Laurent 5 Schilling, René Leander 5 Wang, Lingdi 5 Wang, Yingzhe 5 Zhang, Meirong 4 Liao, Zhongwei 4 Luo, Dejun 4 Majka, Mateusz B. 4 Pollett, Philip K. 4 Ren, Panpan 4 Wang, Tao 4 Yuan, Chenggui 4 Zhang, Lina 4 Zhang, Zhengliang 4 Zhao, Yiqiang Q. 4 Zhu, Chao 4 Zimmer, Raphael 3 Bao, Jianhai 3 Cattiaux, Patrick 3 Deng, Changsong 3 Gong, Fuzhou 3 He, Guoman 3 Hernández-Lerma, Onésimo 3 Kalimulina, Elmira Yu. 3 Kolokoltsov, Vassili N. 3 Li, Peisen 3 Li, Quanlin 3 Li, Yueshuang 3 Li, Zenghu 3 Liang, Mingjie 3 Peres, Yuval 3 Röckner, Michael 3 Saker, Samir H. 3 Schlichting, André 3 Wang, Kui 3 Xia, Lianghui 3 Zhang, Chi 3 Zhang, Yi 3 Zhu, Quanxin 2 Bakry, Dominique 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 Feng, Shui 2 Gentil, Ivan 2 Gong, Guanglu 2 Granovsky, Boris L. 2 Guo, Shangjiang 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, Jun 2 Li, Lina 2 Li, Shangzhi 2 Li, Wendi 2 Li, Xiaolong 2 Li, Yao 2 Li, Ying 2 Liggett, Thomas Milton 2 Liu, Jinpeng ...and 401 more Authors all top 5 Cited in 116 Serials 46 Frontiers of Mathematics in China 35 Acta Mathematica Sinica. English Series 32 Stochastic Processes and their Applications 20 Journal of Applied Probability 20 The Annals of Applied Probability 18 Probability Theory and Related Fields 17 Journal of Theoretical Probability 17 Science in China. Series A 16 The Annals of Probability 14 Journal of Functional Analysis 14 Statistics & Probability Letters 14 Bernoulli 14 Science China. Mathematics 13 Advances in Applied Probability 13 Journal of Mathematical Analysis and Applications 13 Potential Analysis 11 Journal of Statistical Physics 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Acta Mathematica Sinica. New Series 7 Proceedings of the American Mathematical Society 6 Stochastic Analysis and Applications 6 Queueing Systems 5 Mathematische Zeitschrift 5 Chinese Science Bulletin 5 Journal of Mathematical Sciences (New York) 4 Physica A 4 Journal of Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 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 Applied Mathematics and Computation 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 Electronic Communications in Probability 2 Discrete and Continuous Dynamical Systems 2 Probability in the Engineering and Informational Sciences 2 Journal of Evolution Equations 2 Stochastic Models 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Advances in Difference Equations 2 Stochastics 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 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 Zeitschrift für Analysis und ihre Anwendungen 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 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematical Methods of Operations Research 1 Mathematical Inequalities & Applications 1 Annals of Combinatorics 1 Discrete Dynamics in Nature and Society ...and 16 more Serials all top 5 Cited in 33 Fields 444 Probability theory and stochastic processes (60-XX) 63 Global analysis, analysis on manifolds (58-XX) 60 Operator theory (47-XX) 55 Partial differential equations (35-XX) 40 Statistical mechanics, structure of matter (82-XX) 35 Operations research, mathematical programming (90-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Ordinary differential equations (34-XX) 30 Numerical analysis (65-XX) 23 Real functions (26-XX) 20 Differential geometry (53-XX) 17 Difference and functional equations (39-XX) 17 Systems theory; control (93-XX) 16 Combinatorics (05-XX) 14 Statistics (62-XX) 14 Biology and other natural sciences (92-XX) 12 Potential theory (31-XX) 12 Functional analysis (46-XX) 9 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Fluid mechanics (76-XX) 3 Functions of a complex variable (30-XX) 3 Quantum theory (81-XX) 2 Convex and discrete geometry (52-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year