Article ID Journal Published Year Pages File Type
1155818 Stochastic Processes and their Applications 2011 18 Pages PDF
Abstract

Mixing time quantifies the convergence speed of a Markov chain to the stationary distribution. It is an important quantity related to the performance of MCMC sampling. It is known that the mixing time of a reversible chain can be significantly improved by lifting, resulting in an irreversible chain, while changing the topology of the chain. We supplement this result by showing that if the connectivity graph of a Markov chain is a cycle, then there is an Ω(n2)Ω(n2) lower bound for the mixing time. This is the same order of magnitude that is known for reversible chains on the cycle.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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