## Algebraic convergence of Markov chains.(English)Zbl 1030.60070

The authors investigate criteria for the polynomial, i.e., algebraic, convergence of time-homogeneous reversible Markov chains on countable state spaces with respect to $$L^2$$-norms. The results are in particular applied to birth-death random walks in continuous time. Moreover, the technical results are illustrated by several concrete examples.

### MSC:

 60J27 Continuous-time Markov processes on discrete state spaces 60F25 $$L^p$$-limit theorems

### Keywords:

Markov chains; polynomial convergence; birth-death chains
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### References:

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