 class="section level4">
<h4 number="16.3.3.3"><span class="header-section-number">16.3.3.3</span> Finite numbers of states</h4>
<p>The question is what happens for finite numbers of states? If we can
prove a strong geometric ergodicity property (which depends on the
sampler and the target distribution), then one can show that there
exists a finite time after which the chain forgets its initial state
with a large probability. This is both the autocorrelation time and
the warmup time. But even if you can sho