 97587 Bressaud X., Fernandez R., Galves A.
 Speed of $\overline d$convergence for Markov approximations of chains
with complete connections. A coupling approach
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Nov 20, 97

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Abstract. We compute the speed of convergence of the canonical Markov
approximation of a chain with complete connections with summable
decays. We show that in the $\overline{d}$topology the approximation
converges at least at a rate proportional to these decays.
This is proven by explicitly constructing a coupling between
the chain and each range$k$ approximation.
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