Separation and coupling cutoffs for tuples of independent Markov processes

Details Separation and coupling cutoffs for tuples of independent Markov processes Separation and coupling cutoffs for tuples of independent Markov processes

2008-02-19

arxiv.org/abs/0802.2641v3

Mathematics

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15 pages; Changed content: more general result presented

Scientific paper

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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