Separation and coupling cutoffs for tuples of independent Markov processes

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.

15 pages; Changed content: more general result presented

References in corpus (1)

• Separation cut-offs for birth and death chains

Cited by in corpus (2)

• On the spectrum and ergodicity of a neutral multi-allelic Moran model
• Bounds for left and right window cutoffs