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Intersection Conductance and Canonical Alternating Paths: Methods for General Finite Markov Chains

  • RAVI MONTENEGRO (a1)

Abstract

We extend the conductance and canonical paths methods to the setting of general finite Markov chains, including non-reversible non-lazy walks. The new path method is used to show that a known bound for the mixing time of a lazy walk on a Cayley graph with a symmetric generating set also applies to the non-lazy non-symmetric case, often even when there is no holding probability.

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Keywords

Intersection Conductance and Canonical Alternating Paths: Methods for General Finite Markov Chains

  • RAVI MONTENEGRO (a1)

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