%0 Journal Article
%T On Mixing Properties of Reversible Markov Chains
%A Richard C. Bradley
%J Mathematics
%D 2014
%I arXiv
%X It is well known that for a strictly stationary, reversible, Harris recurrent Markov chain, the $\rho$-mixing condition is equivalent to geometric ergodicity and to a "spectral gap" condition. In this note, it will be shown with an example that for that class of Markov chains, the "interlaced" variant of the $\rho$-mixing condition fails to be equivalent to those conditions.
%U http://arxiv.org/abs/1403.4895v1