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# Geometric Ergodicity and the Spectral Gap of Non-Reversible Markov Chains

Probability Theory and Related Fields, no. 1-2 (2012): 1-13

Cited: 80|Views27
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Abstract

We argue that the spectral theory of non-reversible Markov chains may often be more effectively cast within the framework of the naturally associated weighted-$L_\infty$ space $L_\infty^V$, instead of the usual Hilbert space $L_2=L_2(\pi)$, where $\pi$ is the invariant measure of the chain. This observation is, in part, based on the follo...More

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