  A class of examples is constructed to show that for strictly stationary
Markov chains that are reversible, the simultaneous mixing rates for the
$\rho$-mixing and strong mixing ($\alpha$-mixing) conditions can be fairly
arbitrary, within certain unavoidable tight restrictions. The examples
constructed here have the added property that the mixing rate for the absolute
regularity ($\beta$-mixing) condition is within a constant factor of that for
strong mixing.
