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arXiv · 0802.2641

Separation and coupling cutoffs for tuples of independent Markov processes

Stephen B. Connor
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Abstract

We consider an $n$-tuple of independent ergodic Markov processes, each of which converges (in the sense of separation distance) at an exponential rate, and obtain a necessary and sufficient condition for the $n$-tuple to exhibit a separation cutoff. We also provide general bounds on the (asymmetric) window size of the cutoff, and indicate links to classical extreme value theory.

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Stephen B. Connor. 2010-03-18. Separation and coupling cutoffs for tuples of independent Markov processes. https://arxiv.org/abs/0802.2641

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