Eigenvalues of non-reversible Markov chains: their connection to mixing times

Ravi Montenegro

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Eigenvalues of non-reversible Markov chains: their connection to mixing times

Ravi Montenegro

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Abstract

This paper originally showed a lower bound on mixing time for a non-reversible Markov chain in terms of its largest non-trivial eigenvalue, and used this to re-derive some generalizations of results of Fan Chung. However, the paper has been withdrawn because I have been made aware that the lower bound was previously known.

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Ravi Montenegro. 2007-05-07. Eigenvalues of non-reversible Markov chains: their connection to mixing times. https://arxiv.org/abs/math/0604362

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