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math.PR2003★ 13 cited
Ergodic convergence rates of Markov processes--eigenvalues, inequalities and ergodic theory
Mu-Fa Chen
This paper consists of four parts. In the first part, we explain what eigenvalues we are interested in and show the difficulties of the study on the first (non-trivial) eigenvalue…
math.PR2001
Eigenvalues, inequalities and ergodic theory
Mu-Fa Chen
This paper surveys the main results obtained during the period 1992-1999 on three aspects mentioned at the title. The first result is a new and general variational formula for the…
math.PR2001
Explicit criteria for several types of ergodicity
Mu-Fa chen
The explicit criteria for several types of ergodicity of one-dimensional diffusions or birth-death processes have been found out recently in a surprisingly short period. One of the…