Abstract
In this note, we construct an example of a sequence of n-fold product chains which does display cutoff neither for the total-variation distance nor for the separation distance. In addition we show that this type of product chains necessarily displays pre-cutoff.
Citation
Hubert Lacoin. "A product chain without cutoff." Electron. Commun. Probab. 20 1 - 9, 2015. https://doi.org/10.1214/ECP.v20-3765
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