A product chain without cutoff
Probability
2014-12-01 v2
Abstract
In this note, we construct an example of a sequence of -fold product chains which does not display cutoff for total-variation distance neither for separation distance. In addition we show that this type of product chains necessarily displays pre-cutoff.
Cite
@article{arxiv.1407.1754,
title = {A product chain without cutoff},
author = {Hubert Lacoin},
journal= {arXiv preprint arXiv:1407.1754},
year = {2014}
}
Comments
9 Pages, 1 Figure