Mu-Fa Chen

发表

Coupling Methods for Multidimensional Diffusion Processes

Mu-Fa Chen, Shao-Fu Li, 1989 .

From Markov Chains to Non-Equilibrium Particle Systems

Mu-Fa Chen, Mu-Fa Chen, 1992 .

Speed of stability for birth-death processes

Mu-Fa Chen, 2010, 1004.4407.

Global algorithms for maximal eigenpair

Mu-Fa Chen, Mu-Fa Chen, 2017, 1706.07584.

Ergodic Convergence Rates of Markov Processes—Eigenvalues, Inequalities and Ergodic Theory

Mu-Fa Chen, 2003, math/0304367.

The Principal Eigenvalue for Jump Processes

Mu-Fa Chen, 2000 .

Markov processes and related topics

Mu-Fa Chen, 2014 .

The optimal constant in Hardy-type inequalities

Mu-Fa Chen, 2015, 1501.03230.

Mixed principal eigenvalues in dimension one

Mu-Fa Chen, Yu-hui Zhang, Ling-Di Wang, 2012, 1206.5069.

Lower bounds of principal eigenvalue in dimension one

Mu-Fa Chen, 2012, 1206.5071.

Bilateral Hardy-type inequalities

Mu-Fa Chen, 2012, 1206.5074.

Practical Criterion for Uniqueness of $Q$-processes

Mu-Fa Chen, 2015, 1503.02119.

Eigenvalues, inequalities and ergodic theory

Mu-Fa Chen, 2001, math/0101257.

Ten Explicit Criteria of One-Dimensional Processes

Mu-Fa Chen, 2004 .

Ergodic Convergence Rates of Markov Processes—Eigenvalues, Inequalities and Ergodic Theory

Mu-Fa Chen, 2003, math/0304367.

On three classical problems for Markov chains with continuous time parameters

Mu-Fa Chen, 1991, Journal of Applied Probability.

Hermitizable, isospectral complex second-order differential operators

Mu-Fa Chen, Jinyu Li, 2020, Frontiers of Mathematics in China.

Cheeger’s inequalities for general symmetric forms and existence criteria for spectral gap

Mu-Fa Chen, Feng-Yu Wang, 1998, math/9804150.

Explicit criteria for several types of ergodicity

Mu-Fa Chen, 2001, math/0101227.

Unified representation of formulas for single birth processes

Mu-Fa Chen, Yu-hui Zhang, 2014, Frontiers of Mathematics in China.

SINGLE BIRTH PROCESSES

Mu-Fa Chen, 1999 .

Equivalence of exponential ergodicity and L2-exponential convergence for Markov chains

Mu-Fa Chen, 2000 .

Algebraic convergence of Markov chains

Mu-Fa Chen, Yingzhe Wang, 2003 .

Unified representation of formulas for single birth processes

Mu-Fa Chen, Yu-hui Zhang, 2014, 1411.6099.

Coupling, spectral gap and related topics (I)

Mu-Fa Chen, 1997 .

A new deterministic complex network model with hierarchical structure

Peng Xu, Jun Chen, Mu-Fa Chen, 2007 .

Reaction-diffusion processes

Mu-Fa Chen, 1998 .

Ergodic theorems for reaction-diffusion processes

Mu-Fa Chen, Mu-Fa Chen, 1990 .

STATIONARY DISTRIBUTIONS OF INFINITE PARTICLE SYSTEMS WITH NONCOMPACT STATE SPACE

Mu-Fa Chen, Mu-Fa Chen, 1989 .

On the optimality in general sense for odd-block search

Mu-Fa Chen, Dan-Hua Huang, 1995, 1411.5748.

Stochastic models of economic optimization

Mu-Fa Chen, 2004 .

Development of powerful algorithm for maximal eigenpair

Mu-Fa Chen, Yue-Shuang Li, 2019, Frontiers of Mathematics in China.

Development of powerful algorithm for maximal eigenpair

Mu-Fa Chen, Yue-Shuang Li, 2019, Frontiers of Mathematics in China.

Trilogy on Computing Maximal Eigenpair

Mu-Fa Chen, Mu-Fa Chen, 2017, QTNA.

Hermitizable, isospectral complex matrices or differential operators

Mu-Fa Chen, 2018, Frontiers of Mathematics in China.

The Charming Leading Eigenpair

Mu-Fa Chen, 2017, 1706.07146.

Efficient initials for computing maximal eigenpair

Mu-Fa Chen, Mu-Fa Chen, 2016, Frontiers of Mathematics in China.

Criteria for Discrete Spectrum of 1D Operators

Mu-Fa Chen, 2014, 1501.03233.

Isospectral Operators

Mu-Fa Chen, Xu Zhang, 2014, 1411.6070.

Estimates of Logarithmic Sobolev Constant: An Improvement of Bakry–Emery Criterion

Feng-Yu Wang, Mu-Fa Chen, Mu-Fa Chen, 1997 .

General formula for lower bound of the first eigenvalue on Riemannian manifolds

Feng-Yu Wang, Mu-Fa Chen, Mu-Fa Chen, 1997 .

Hermitizable, isospectral complex matrices or differential operators

Mu-Fa Chen, 2018, Frontiers of Mathematics in China.

Trilogy of Couplings and General Formulas for Lower Bound of Spectral Gap

Mu-Fa Chen, Mu-Fa Chen, 1998 .

Analytic proof of dual variational formula for the first eigenvalue in dimension one

Mu-Fa Chen, 1999 .

Optimality, Robustness, and Noise in Metabolic Network Control

D. Koller, Gal Chechik, Mu-Fa Chen, 2007 .

Estimation of the First Eigenvalue of Second Order Elliptic Operators

Mu-Fa Chen, Feng-Yu Wang, 1995 .

Nash inequalities for general symmetric forms

Mu-Fa Chen, 1999 .

Estimation of spectral gap for elliptic operators

Mu-Fa Chen, Feng-Yu Wang, 1997 .

Capacitary Criteria for Poincaré-Type Inequalities

Mu-Fa Chen, 2005 .

Variational Formulas of Poincaré-type Inequalities for Birth-Death Processes

Mu-Fa Chen, 2003 .

Progress on Hardy-type Inequalities

Mu-Fa Chen, 2014, 1412.0076.

Mixed principal eigenvalues in dimension one

Mu-Fa Chen, Yu-hui Zhang, Lingdi Wang, 2013, Frontiers of Mathematics in China.

Basic Estimates of Stability Rate for One-Dimensional Diffusions

Mu-Fa Chen, 2011, 1111.6659.

Spectral gap and logarithmic Sobolev constant for continuous spin systems

Mu-Fa Chen, 2008, 1004.4408.

Variational Formulas of Poincaré-Type Inequalities in Banach Spaces of Functions on the Line

Mu-Fa Chen, 2002 .

Variational formulas and explicit bounds of Poincaré-type inequalities for one-dimensional processes

Mu-Fa Chen, 2003 .

On order-preservation and positive correlations for multidimensional diffusion processes

Mu-Fa Chen, Feng-Yu Wang, 1993 .

General estimate of the first eigenvalue on manifolds

Mu-Fa Chen, Mu-Fa Chen, 2011, 1111.6663.

Mixed eigenvalues of p-Laplacian

Mu-Fa Chen, Yu-hui Zhang, Lingdi Wang, 2015 .

Mixed eigenvalues of p-Laplacian

Mu-Fa Chen, Yu-hui Zhang, Lingdi Wang, 2015, Frontiers of Mathematics in China.

Mixed Eigenvalues of {\LARGE $\pmb p$\,}-Laplacian

Mu-Fa Chen, Yu-hui Zhang, Lingdi Wang, 2015, 1501.03228.