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arxiv: 0709.0112 · v2 · submitted 2007-09-02 · 🧮 math.PR

On the precision of the spectral profile

classification 🧮 math.PR
keywords factorprofilespectralboundcannotcontinuous-timeexaminefind
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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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