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Comparison of cutoffs between lazy walks and Markovian semigroups. (English) Zbl 1288.60088
Summary: We make a connection between the continuous time and lazy discrete time Markov chains through the comparison of cutoffs and mixing time in total variation distance. For illustration, we consider finite birth and death chains and provide a criterion on cutoffs using eigenvalues of the transition matrix.

MSC:
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
60J27 Continuous-time Markov processes on discrete state spaces
47D07 Markov semigroups and applications to diffusion processes
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