Mu-Fa Chen

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All published works

Action	Title	Year	Authors
+	Hermitizable, Isospectral Matrices or Differential Operators	2022	Mu-Fa Chen
+	Hermitizable, isospectral complex second-order differential operators	2020	Mu-Fa Chen Jinyu Li
+	On spectrum of Hermitizable tridiagonal matrices	2020	Mu-Fa Chen
+	Improved global algorithms for maximal eigenpair	2019	Mu-Fa Chen Yue-Shuang Li
+	Development of powerful algorithm for maximal eigenpair	2019	Mu-Fa Chen Yue-Shuang Li
+	Ten Explicit Criteria of One-Dimensional Processes	2019	Mu-Fa Chen
+	Hermitizable, isospectral complex matrices or differential operators	2018	Mu-Fa Chen
+	Efficient algorithm for principal eigenpair of discrete p-Laplacian	2018	Mu-Fa Chen
+ PDF Chat	Mathematical topics motivated from statistical physics &mdash;Interaction of phase transition and mathematics	2018	Mu-Fa Chen
+	Mathematical topics motivated from statistical physics &mdash;Interaction of statistical physics and probability theory	2018	Mu-Fa Chen
+ PDF Chat	Global algorithms for maximal eigenpair	2017	Mu-Fa Chen
+	The Charming Leading Eigenpair	2017	Mu-Fa Chen
+	The Charming Leading Eigenpair	2017	Mu-Fa Chen
+	Trilogy on Computing Maximal Eigenpair	2017	Mu-Fa Chen
+	Global algorithms for maximal eigenpair	2017	Mu-Fa Chen
+ PDF Chat	Trilogy on Computing Maximal Eigenpair	2017	Mu-Fa Chen
+ PDF Chat	Efficient initials for computing maximal eigenpair	2016	Mu-Fa Chen
+ PDF Chat	Unified speed estimation of various stabilities	2015	Mu-Fa Chen
+ PDF Chat	The optimal constant in Hardy-type inequalities	2015	Mu-Fa Chen
+	Mixed eigenvalues of p-Laplacian	2015	Mu-Fa Chen Lingdi Wang Yuhui Zhang
+	Practical Criterion for Uniqueness of $Q$-processes	2015	Mu-Fa Chen
+	Mixed Eigenvalues of {\LARGE $\pmb p$\,}-Laplacian	2015	Mu-Fa Chen Ling-Di Wang Yuhui Zhang
+	Criteria for Discrete Spectrum of 1D Operators	2015	Mu-Fa Chen
+	The optimal constant in Hardy-type inequalities	2015	Mu-Fa Chen
+ PDF Chat	Progress on Hardy-type inequalities	2014	Mu-Fa Chen
+ PDF Chat	Criteria for Discrete Spectrum of 1D Operators	2014	Mu-Fa Chen
+ PDF Chat	Mixed eigenvalues of discrete p-Laplacian	2014	Mu-Fa Chen Lingdi Wang Yuhui Zhang
+ PDF Chat	Unified representation of formulas for single birth processes	2014	Mu-Fa Chen Yuhui Zhang
+ PDF Chat	Isospectral Operators	2014	Mu-Fa Chen Xu Zhang
+	Mixed Eigenvalues of Discrete {\LARGE $\pmb p$\,}-Laplacian	2014	Mu-Fa Chen Ling-Di Wang Yuhui Zhang
+	On the Optimality in General Sense for Odd-Block Search	2014	Mu-Fa Chen Danhua Huang
+	A Comment on the Book "Continuous-Time Markov Chains" by W.J. Anderson	2014	Mu-Fa Chen
+	Unified representation of formulas for single birth processes	2014	Mu-Fa Chen Yuhui Zhang
+	Isospectral operators	2014	Mu-Fa Chen Xu Zhang
+	Progress on Hardy-type Inequalities	2014	Mu-Fa Chen
+ PDF Chat	Mixed principal eigenvalues in dimension one	2013	Mu-Fa Chen Lingdi Wang Yuhui Zhang
+ PDF Chat	Lower bounds of principal eigenvalue in dimension one	2012	Mu-Fa Chen
+	On the ergodic region of Schlögl's model	2012	Mu-Fa Chen
+	Bilateral Hardy-type inequalities	2012	Mu-Fa Chen
+	Lower bounds of principal eigenvalue in dimension one	2012	Mu-Fa Chen
+	Mixed principal eigenvalues in dimension one	2012	Mu-Fa Chen Ling-Di Wang Yuhui Zhang
+ PDF Chat	Basic Estimates of Stability Rate for One-Dimensional Diffusions	2011	Mu-Fa Chen
+ PDF Chat	General estimate of the first eigenvalue on manifolds	2011	Mu-Fa Chen
+	General estimate of the first eigenvalue on manifolds	2011	Mu-Fa Chen
+	Basic Estimates of Stability Rate for One-dimensional Diffusions	2011	Mu-Fa Chen
+ PDF Chat	Speed of stability for birth-death processes	2010	Mu-Fa Chen
+	Speed of stability for birth--death processes	2010	Mu-Fa Chen
+	Spectral gap and logarithmic Sobolev constant for continuous spin systems	2010	Mu-Fa Chen
+	Exponential convergence rate in entropy	2007	Mu-Fa Chen
+	Capacitary Criteria for Poincar�-Type Inequalities	2005	Mu-Fa Chen
+	Some Interaction of Probability Theory and Other Subjects	2005	Mu-Fa Chen
+	From Markov Chains to Non-Equilibrium Particle Systems	2004	Mu-Fa Chen
+ PDF Chat	Algebraic convergence of Markov chains	2003	Mu-Fa Chen Yingzhe Wang
+ PDF Chat	Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes	2003	Mu-Fa Chen
+	Ergodic convergence rates of Markov processes--eigenvalues, inequalities and ergodic theory	2003	Mu-Fa Chen
+	Dual variational formulas for the first Dirichlet eigenvalue on half-line	2003	Mu-Fa Chen
+	Linear approximation of the first eigenvalue on compact manifolds	2002	Mu-Fa Chen E. Scacciatelli Liang Yao
+	Variational formulas and approximation theorems for the first eigenvalue in dimension one	2001	Mu-Fa Chen
+	Explicit Criteria for Several Types of Ergodicity	2001	Mu-Fa Chen
+	Eigenvalues, inequalities and ergodic theory	2001	Mu-Fa Chen
+	Explicit bounds of the first eigenvalue	2000	Mu-Fa Chen
+	The Principal Eigenvalue for Jump Processes	2000	Mu-Fa Chen
+	The Principal Eigenvalue for Jump Processes	2000	Mu-Fa Chen
+	Logarithmic Sobolev inequality for symmetric forms	2000	Mu-Fa Chen
+	Equivalence of exponential ergodicity and L2-exponential convergence for Markov chains	2000	Mu-Fa Chen
+ PDF Chat	Eigenvalues, inequalities and ergodic theory	2000	Mu-Fa Chen
+ PDF Chat	Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap	2000	Mu-Fa Chen Feng‐Yu Wang
+	Analytic proof of dual variational formula for the first eigenvalue in dimension one	1999	Mu-Fa Chen
+	Nash inequalities for general symmetric forms	1999	Mu-Fa Chen
+	SINGLE BIRTH PROCESSES	1999	Mu-Fa Chen
+	Reaction-diffusion processes	1998	Mu-Fa Chen
+ PDF Chat	Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap	1998	Mu-Fa Chen Feng‐Yu Wang
+	Trilogy of Couplings and General Formulas for Lower Bound of Spectral Gap	1998	Mu-Fa Chen
+	Cheeger's inequalities for general symmetric forms and existence criteria for spectral gap	1998	Mu-Fa Chen Feng‐Yu Wang
+	Estimate of exponential convergence rate in total variation by spectral gap	1998	Mu-Fa Chen
+	Coupling, spectral gap and related topics (II)	1997	Mu-Fa Chen
+	Coupling, spectral gap and related topics (III)	1997	Mu-Fa Chen
+	Coupling, spectral gap and related topics (I)	1997	Mu-Fa Chen
+	General formula for lower bound of the first eigenvalue on Riemannian manifolds	1997	Mu-Fa Chen Feng‐Yu Wang
+	Estimates of Logarithmic Sobolev Constant: An Improvement of Bakry–Emery Criterion	1997	Mu-Fa Chen Feng‐Yu Wang
+ PDF Chat	Estimation of spectral gap for elliptic operators	1997	Mu-Fa Chen Feng‐Yu Wang
+	The range of random walk on trees and related trapping problem	1997	Mu-Fa Chen Shijian Yan Xianyin Zhou
+	Estimation of spectral gap for Markov chains	1996	Mu-Fa Chen
+ PDF Chat	On the optimality in general sense for odd-block search	1995	Mu-Fa Chen Danhua Huang
+	Optimal markovian couplings and applications	1994	Mu-Fa Chen
+	Ergodicity of reversible reaction diffusion processes with general reaction rates	1994	Mu-Fa Chen Wanding Ding Zhu Dong-jin
+ PDF Chat	On order-preservation and positive correlations for multidimensional diffusion processes	1993	Mu-Fa Chen Feng‐Yu Wang
+	On three classical problems for Markov chains with continuous time parameters	1991	Mu-Fa Chen
+	On three classical problems for Markov chains with continuous time parameters	1991	Mu-Fa Chen
+	ExponentialL 2-convergence andL 2-spectral gap for Markov processes	1991	Mu-Fa Chen
+	On evaluating the rate function of large deviations for jump processes	1990	Mu-Fa Chen Yun Gang Lu
+	LARGE DEVIATIONS FOR MARKOV CHAINS	1990	Mu-Fa Chen Yun Gang Lu
+	STATIONARY DISTRIBUTIONS OF INFINITE PARTICLE SYSTEMS WITH NONCOMPACT STATE SPACE	1989	Mu-Fa Chen
+ PDF Chat	Coupling Methods for Multidimensional Diffusion Processes	1989	Mu-Fa Chen Shao-Fu Li
+	Coupling for jump processes	1986	Mu-Fa Chen
+	Infinite dimensional reaction-diffusion processes	1985	Mu-Fa Chen
+	$\lambda_\pi$-invariant measures	1983	Mu-Fa Chen Daniel W. Stroock

Common Coauthors

Coauthor	Papers Together
Feng‐Yu Wang	7
Yuhui Zhang	4
Ling-Di Wang	3
Lingdi Wang	3
Yue-Shuang Li	2
Yuhui Zhang	2
Danhua Huang	2
Yun Gang Lu	2
Yuhui Zhang	2
Shao-Fu Li	1
Liang Yao	1
E. Scacciatelli	1
Daniel W. Stroock	1
Xu Zhang	1
Xianyin Zhou	1
Wanding Ding	1
Shijian Yan	1
Zhu Dong-jin	1
Yingzhe Wang	1
Jinyu Li	1
Xu Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Speed of stability for birth-death processes	2010	Mu-Fa Chen	28
+	From Markov Chains to Non-Equilibrium Particle Systems	2004	Mu-Fa Chen	25
+ PDF Chat	Estimation of spectral gap for elliptic operators	1997	Mu-Fa Chen Feng‐Yu Wang	23
+ PDF Chat	Eigenvalues, inequalities and ergodic theory	2000	Mu-Fa Chen	20
+	From Markov Chains to Non-Equilibrium Particle Systems	1992	M F Chen	18
+	Estimation of spectral gap for Markov chains	1996	Mu-Fa Chen	17
+	Eigenvalues, Inequalities, and Ergodic Theory	2005	Mu Fa Chen	16
+	Explicit bounds of the first eigenvalue	2000	Mu-Fa Chen	15
+	General formula for lower bound of the first eigenvalue on Riemannian manifolds	1997	Mu-Fa Chen Feng‐Yu Wang	13
+ PDF Chat	Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap	1998	Mu-Fa Chen Feng‐Yu Wang	12
+	Variational formulas and approximation theorems for the first eigenvalue in dimension one	2001	Mu-Fa Chen	12
+	ExponentialL 2-convergence andL 2-spectral gap for Markov processes	1991	Mu-Fa Chen	12
+	Analytic proof of dual variational formula for the first eigenvalue in dimension one	1999	Mu-Fa Chen	12
+	From Markov Chains to Non-Equilibrium Particle Systems	2004	Mu-Fa Chen	12
+ PDF Chat	Exponential $L_2$ Convergence of Attractive Reversible Nearest Particle Systems	1989	Thomas M. Liggett	12
+	Optimal markovian couplings and applications	1994	Mu-Fa Chen	11
+	Hardy-type inequalities	1990	Bohumı́r Opic Alois Kufner	9
+	Estimation of the First Eigenvalue of Second Order Elliptic Operators	1995	M.F. Chen Feng‐Yu Wang	9
+ PDF Chat	Isospectral Operators	2014	Mu-Fa Chen Xu Zhang	8
+ PDF Chat	Hardy's inequality with weights	1972	Benjamin Muckenhoupt	8
+ PDF Chat	Bounds on the 𝐿² spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality	1988	Gregory F. Lawler Alan D. Sokal	8
+	Application of Coupling Method to the First Eigenvalue on Manifold	1994	Chen Mu	8
+ PDF Chat	Criteria for Discrete Spectrum of 1D Operators	2014	Mu-Fa Chen	7
+	Lectures on finite Markov chains	1997	Laurent Saloff‐Coste	7
+ PDF Chat	Geometric Bounds for Eigenvalues of Markov Chains	1991	Persi Diaconis Daniel W. Stroock	7
+ PDF Chat	Coupling Methods for Multidimensional Diffusion Processes	1989	Mu-Fa Chen Shao-Fu Li	7
+ PDF Chat	Basic Estimates of Stability Rate for One-Dimensional Diffusions	2011	Mu-Fa Chen	7
+	Nash Inequalities for Markov Processes in Dimension One	2002	Young Hua Mao	7
+	Variational Formulas of Poincaré-type Inequalities for Birth-Death Processes	2003	Mu Fa Chen	7
+	Coupling for jump processes	1986	Mu-Fa Chen	7
+	Gradient estimates on manifolds using coupling	1991	M. Cranston	6
+ PDF Chat	$L_2$ Rates of Convergence for Attractive Reversible Nearest Particle Systems: The Critical Case	1991	Thomas M. Liggett	6
+	Capacitary bounds of measures and ultracontractivity of time changed processes	2003	Masatoshi Fukushima Toshihiro Uemura	6
+	Ergodic theorems for reaction-diffusion processes	1990	Mu Fa Chen	6
+	Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models	1990	Jean‐Dominique Deuschel Daniel W. Stroock	6
+ PDF Chat	Application of coupling methods to the Neumann eigenvalue problem	1994	Feng‐Yu Wang	6
+	Nonnegative ricci curvature and the brownian coupling property	1986	Wilfrid S. Kendall	6
+	Estimates of Logarithmic Sobolev Constant: An Improvement of Bakry–Emery Criterion	1997	Mu-Fa Chen Feng‐Yu Wang	6
+	ON THE ESTIMATE OF THE FIRST EIGENVALUE OF A COMPACT RIEMANNIAN MANIFOLD	1984	Jiaqiang Zhong Hongcang Yang	6
+	Coupling, spectral gap and related topics (II)	1997	Mu-Fa Chen	5
+	Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities	1999	Sergey G. Bobkov Friedrich Götze	5
+ PDF Chat	Efficient initials for computing maximal eigenpair	2016	Mu-Fa Chen	5
+ PDF Chat	Global algorithms for maximal eigenpair	2017	Mu-Fa Chen	5
+	Hermitizable, isospectral complex matrices or differential operators	2018	Mu-Fa Chen	5
+	Absence of mass gap for a class of stochastic contour models	1988	Alan D. Sokal Lawrence E. Thomas	5
+	The Hardy inequality : about its history and some related results	2007	Alois Kufner L. Malingrad Lars‐Erik Persson	5
+	Infinite dimensional reaction-diffusion processes	1985	Mu-Fa Chen	5
+	Spectral Graph Theory	1996	Fan Chung	5
+ PDF Chat	Spectral Geometry: Direct and Inverse Problems	1986	Pierre Bérard	5
+	Sobolev type inequalities for general symmetric forms	2000	Feng‐Yu Wang	5