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We use a non-Markovian coupling and small modifications of techniques fromthe theory of finite Markov chains to analyze some Markov chains on continuousstate spaces. The first is a Gibbs sampler on narrow contingency tables, thesecond a gen- eralization of a sampler introduced by Randall and Winkler.

Analysis of Convergence Rates of Some Gibbs Samplers on Continuous State Spaces