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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
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