Comparison Theorems for Reversible Markov Chains
Open Access
- 1 August 1993
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Applied Probability
- Vol. 3 (3) , 696-730
- https://doi.org/10.1214/aoap/1177005359
Abstract
We introduce geometric comparison inequalities that give bounds on the eigenvalues of a reversible Markov chain in terms of the eigenvalues of a second chain. The bounds are applied to get sharp results for the exclusion process.Keywords
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