Markov chain mixing time on cycles

  title={Markov chain mixing time on cycles},
  author={Bal{\'a}zs Gerencs{\'e}r},
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 I© ( n 2 ) lower bound for the mixing… CONTINUE READING