On the precision of the spectral profile

Details On the precision of the spectral profile On the precision of the spectral profile

2007-09-02

arxiv.org/abs/0709.0112v2

Mathematics

Probability

8 pages. To appear in ALEA

Scientific paper

We examine the spectral profile bound of Goel, Montenegro and Tetali for the
uniform mixing time of continuous-time random walk in reversible settings. We
find that it is precise up to a log log factor, and that this log log factor
cannot be improved.

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