Document Zbl 1351.60091

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Cheeger inequalities for absorbing Markov chains. (English) Zbl 1351.60091

Adv. Appl. Probab. 48, No. 3, 631-647 (2016).

Summary: We construct Cheeger-type bounds for the second eigenvalue of a substochastic transition probability matrix in terms of the Markov chain’s conductance and metastability (and vice versa) with respect to its quasistationary distribution, extending classical results for stochastic transition matrices.

MSC:

60J10

Markov chains (discrete-time Markov processes on discrete state spaces)

Keywords:

absorbing Markov chains; transience; substochastic transition matrix; quasistationary distribution; Cheeger constant; conductance; metastability

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