Cheeger inequalities for transient Markov chains

نویسنده

  • Gary Froyland
چکیده

We construct upper and lower bounds for Cheeger-type constants for transient Markov chains. We first treat the situation where there is a detailed balance condition and obtain bounds that rely exclusively on the first and second eigenvalues of the substochastic transition matrix. Secondly, we consider general substochastic transition matrices and develop bounds in this broader setting. The efficacy of the bounds are illustrated via examples.

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تاریخ انتشار 2013